Канал: Richard Swearingen Outdoors

Fortune Creek Pass via the Esmerelda Basin Trail

Fortune Creek Pass via the Esmerelda Basin Trail

Ironstone Mountain Trail Ridge Crossing

Ironstone Mountain Trail Ridge Crossing

Ironstone Mountain Trail

Ironstone Mountain Trail

Naches Peak Loop, July 6, 2024. Mount Rainier National Park

Naches Peak Loop, July 6, 2024. Mount Rainier National Park

Armstrong Redwoods State Natural Reserve

Armstrong Redwoods State Natural Reserve

Wagon Creek Bridge, Lake Siskiyou Trail

Wagon Creek Bridge, Lake Siskiyou Trail

PCT Footbridge at Chinook Pass

PCT Footbridge at Chinook Pass

Iron Bear and Jester Mountains, Wenatchee National Forest

Iron Bear and Jester Mountains, Wenatchee National Forest

Iron Bear Mountain, Wenatchee National Forest

Iron Bear Mountain, Wenatchee National Forest

Spiral Butte, William O. Douglas Wilderness

Spiral Butte, William O. Douglas Wilderness

Trail 25, Riverside State Park

Trail 25, Riverside State Park

Bowl and Pitcher, Riverside State Park

Bowl and Pitcher, Riverside State Park

Goat Peak Loop via Hells Crossing, William O. Douglas Wilderness

Goat Peak Loop via Hells Crossing, William O. Douglas Wilderness

Goat Peak, William O. Douglas Wilderness

Goat Peak, William O. Douglas Wilderness

Pleasant Valley, William O. Douglas Wilderness

Pleasant Valley, William O. Douglas Wilderness

Shellrock Lake via Sand Ridge Trailhead, William O. Douglas Wilderness

Shellrock Lake via Sand Ridge Trailhead, William O. Douglas Wilderness

Sand Ridge Trail, William O. Douglas Wilderness.

Sand Ridge Trail, William O. Douglas Wilderness.

Shellrock Lake Trail, William O. Douglas Wilderness

Shellrock Lake Trail, William O. Douglas Wilderness

Round Mountain, Goat Rocks Wilderness(ish)

Round Mountain, Goat Rocks Wilderness(ish)

Sledding at White Pass in Mid May

Sledding at White Pass in Mid May

Mosier Plateau Trail, Columbia River Gorge

Mosier Plateau Trail, Columbia River Gorge

Mosier Plateau Trail, Upper Waterfall

Mosier Plateau Trail, Upper Waterfall

Icicle Ridge, Leavenworth

Icicle Ridge, Leavenworth

Snow Mountain Ranch in Spring

Snow Mountain Ranch in Spring

Nahahum Trail & Spring Canyon Loop, Cashmere Canyons Preserve

Nahahum Trail & Spring Canyon Loop, Cashmere Canyons Preserve

Hog Lake Loop, Fishtrap Recreation Area

Hog Lake Loop, Fishtrap Recreation Area

Stop Leaving Your Dog Poop Bags on the Trail

Stop Leaving Your Dog Poop Bags on the Trail

Knothead Valley Loop, Riverside State Park

Knothead Valley Loop, Riverside State Park

Tieton Canal Loop, Oak Creek Wildlife Area

Tieton Canal Loop, Oak Creek Wildlife Area

Frog Creek Trail, Drumheller Channels, Columbia National Wildlife Refuge

Frog Creek Trail, Drumheller Channels, Columbia National Wildlife Refuge

Swale Canyon, Klickitat Trail

Swale Canyon, Klickitat Trail

Douglas Creek Canyon, Waterville Washington

Douglas Creek Canyon, Waterville Washington

The River Trail in Snow, Smith Rock State Park

The River Trail in Snow, Smith Rock State Park

Dusty Lake to Ancient Lakes Loop, Quincy Lakes Wildlife Area

Dusty Lake to Ancient Lakes Loop, Quincy Lakes Wildlife Area

Umatilla Rock, Sun Lakes-Dry Falls State Park

Umatilla Rock, Sun Lakes-Dry Falls State Park

Umtanum Creek Trail in Winter, Yakima River Canyon

Umtanum Creek Trail in Winter, Yakima River Canyon

Steamboat Rock, Steamboat Rock State Park

Steamboat Rock, Steamboat Rock State Park

Umtanum Falls, Wenas Wildlife Area

Umtanum Falls, Wenas Wildlife Area

Morse Creek Cabin, Chinook Pass

Morse Creek Cabin, Chinook Pass

Lake Valhalla, Henry M. Jackson Wilderness

Lake Valhalla, Henry M. Jackson Wilderness

Shellrock Lake, William O. Douglas Wilderness

Shellrock Lake, William O. Douglas Wilderness

Lake Ingalls in Late October, Alpine Lakes Wilderness

Lake Ingalls in Late October, Alpine Lakes Wilderness

Snowgrass Flats and Goat Lake Loop, Goat Rocks Wilderness

Snowgrass Flats and Goat Lake Loop, Goat Rocks Wilderness

Shoe Lake, Goat Rocks Wilderness

Shoe Lake, Goat Rocks Wilderness

Five-Lakes Loop, William O. Douglas Wilderness

Five-Lakes Loop, William O. Douglas Wilderness

Sheep Lake and Sourdough Gap, Chinook Pass Overlook Trailhead

Sheep Lake and Sourdough Gap, Chinook Pass Overlook Trailhead

Cougar Lakes, William O. Douglas Wilderness

Cougar Lakes, William O. Douglas Wilderness

Icicle Gorge Trail, Leavenworth, Washington

Icicle Gorge Trail, Leavenworth, Washington

Dumbbell Lake, William O. Douglas Wilderness

Dumbbell Lake, William O. Douglas Wilderness

Bear Creek Mountain, Goat Rocks Wilderness

Bear Creek Mountain, Goat Rocks Wilderness

Shellrock Peak, William O. Douglas Wilderness

Shellrock Peak, William O. Douglas Wilderness

Elowah Falls Trail, Columbia River Gorge

Elowah Falls Trail, Columbia River Gorge

Torrey Pines

Torrey Pines

Twin Sisters Lakes, William O. Douglas Wilderness

Twin Sisters Lakes, William O. Douglas Wilderness

McNeil Peak, William O. Douglas Wilderness

McNeil Peak, William O. Douglas Wilderness

Mount Margaret, Alpine Lakes Wilderness

Mount Margaret, Alpine Lakes Wilderness

Ironstone Mountain, William O. Douglas Wilderness

Ironstone Mountain, William O. Douglas Wilderness

First & Second Burroughs, Mount Rainier National Park

First & Second Burroughs, Mount Rainier National Park

Fremont Lookout, Mount Rainier National Park

Fremont Lookout, Mount Rainier National Park

Dewey Lakes, William O. Douglas Wilderness

Dewey Lakes, William O. Douglas Wilderness

Crystal Lakes and Sourdough Gap, Mount Rainier National Park

Crystal Lakes and Sourdough Gap, Mount Rainier National Park

Union Creek Falls, Norse Peak Wilderness

Union Creek Falls, Norse Peak Wilderness

Sand Lake, William O. Douglas Wilderness

Sand Lake, William O. Douglas Wilderness

Burnt Mountain, William O. Douglas Wilderness

Burnt Mountain, William O. Douglas Wilderness

Twin Peaks, Goat Rocks Wilderness

Twin Peaks, Goat Rocks Wilderness

Chelan Lakeshore Trail, Lake Chelan

Chelan Lakeshore Trail, Lake Chelan

Chatter Creek Trail, Alpine Lakes Wilderness

Chatter Creek Trail, Alpine Lakes Wilderness

Sage Hills, Wenatchee Washington

Sage Hills, Wenatchee Washington

Horse Lake Reserve, Wenatchee Washington

Horse Lake Reserve, Wenatchee Washington

Columbia Hills Vista Loop, Columbia Hills State Park

Columbia Hills Vista Loop, Columbia Hills State Park

Columbia Hills Vista Loop, Columbia River Gorge

Columbia Hills Vista Loop, Columbia River Gorge

Cowiche Mountain via the William O. Douglas Trail, Yakima WA

Cowiche Mountain via the William O. Douglas Trail, Yakima WA

White Pass Nordic Trails, White Pass Washington

White Pass Nordic Trails, White Pass Washington

Enchantments Thru Hike (Abridged), Alpine Lakes Wilderness

Enchantments Thru Hike (Abridged), Alpine Lakes Wilderness

Chest Pains & Westberg Trail Loop, Wenas Wildlife Area

Chest Pains & Westberg Trail Loop, Wenas Wildlife Area

Bear Canyon & Ridge, Oak Creek Wildlife Area

Bear Canyon & Ridge, Oak Creek Wildlife Area

Sand Dune Ascent, North White Bluffs at Hanford Reach

Sand Dune Ascent, North White Bluffs at Hanford Reach

Yakima Rim Trail, Yakima River Canyon

Yakima Rim Trail, Yakima River Canyon

Baldy Mountain, Yakima River Canyon

Baldy Mountain, Yakima River Canyon

Snowshoeing Deer & Sand Lakes, William O.Douglas Wilderness

Snowshoeing Deer & Sand Lakes, William O.Douglas Wilderness

Snowshoeing Pleasant Valley Trail 999, William O. Douglas Wilderness

Snowshoeing Pleasant Valley Trail 999, William O. Douglas Wilderness

Bumping Lake Snowshoe, Wenatchee National Forest

Bumping Lake Snowshoe, Wenatchee National Forest

Snow Mountain Ranch Loop, Yakima Washington

Snow Mountain Ranch Loop, Yakima Washington

Ancient Lakes via Judith Pool, Quincy Washington

Ancient Lakes via Judith Pool, Quincy Washington

Umtanum Creek Canyon, Yakima River Canyon

Umtanum Creek Canyon, Yakima River Canyon

Saddle Rock, Wenatchee, WA

Saddle Rock, Wenatchee, WA

Cowiche Uplands, Yakima WA

Cowiche Uplands, Yakima WA

Naches Peak Loop, Mount Rainier National Park

Naches Peak Loop, Mount Rainier National Park

Skyscraper Mountain, Mount Rainier National Park

Skyscraper Mountain, Mount Rainier National Park

Crystal Peak, Mount Rainier National Park

Crystal Peak, Mount Rainier National Park

Blankenship & Pear Lakes, William O. Douglas Wilderness

Blankenship & Pear Lakes, William O. Douglas Wilderness

Enchantments Thru Hike (Extended Version), Alpine Lakes Wilderness

Enchantments Thru Hike (Extended Version), Alpine Lakes Wilderness

Fremont Lookout, Mount Rainier National Park

Fremont Lookout, Mount Rainier National Park

Jug & Fryingpan Lakes, William O. Douglas Wilderness Area

Jug & Fryingpan Lakes, William O. Douglas Wilderness Area

PCT Section H Episode 2: Mount Adams Wilderness

PCT Section H Episode 2: Mount Adams Wilderness

PCT Section H, Episode 1: Goat Rocks & The Knife’s Edge

PCT Section H, Episode 1: Goat Rocks & The Knife’s Edge

Comet Falls & Van Trump Park, Mount Rainier National Park

Comet Falls & Van Trump Park, Mount Rainier National Park

Camp Muir, Mount Rainier National Park

Camp Muir, Mount Rainier National Park

Pete Lake, Alpine Lakes Wilderness

Pete Lake, Alpine Lakes Wilderness

Colchuck Lake, Enchantments

Colchuck Lake, Enchantments

Yakima Fairgrounds Fireworks Finale, July 4 2022

Yakima Fairgrounds Fireworks Finale, July 4 2022

Painted Hills Unit, John Day Fossil Beds National Monument

Painted Hills Unit, John Day Fossil Beds National Monument

Stuart Lake, Enchantments, Alpine Lakes Wilderness

Stuart Lake, Enchantments, Alpine Lakes Wilderness

Eightmile Lake, Enchantments (Alpine Lakes Wilderness)

Eightmile Lake, Enchantments (Alpine Lakes Wilderness)

Dog Mountain, Columbia River Gorge

Dog Mountain, Columbia River Gorge

Coyote Wall & Labyrinth Trails Loop, Columbia River Gorge, Lyle WA

Coyote Wall & Labyrinth Trails Loop, Columbia River Gorge, Lyle WA

Northrup Canyon Trail, Steamboat Rock State Park

Northrup Canyon Trail, Steamboat Rock State Park

Waterworks Canyon Loop, Oak Creek Wildlife Area, Naches

Waterworks Canyon Loop, Oak Creek Wildlife Area, Naches

Sauer’s Mountain, Peshastin Washington

Sauer’s Mountain, Peshastin Washington

Rattlesnake Dance, Yakima River Canyon

Rattlesnake Dance, Yakima River Canyon

Otter Bench Trail System, Crooked River Oregon

Otter Bench Trail System, Crooked River Oregon

Bruni's Snow Bowl Hut, Mount Tahoma Trails

Bruni's Snow Bowl Hut, Mount Tahoma Trails

Tunnel Falls Via Eagle Creek Trail, Columbia River Gorge.

Tunnel Falls Via Eagle Creek Trail, Columbia River Gorge.

Echo Valley Tubing Hill, Chelan Washington

Echo Valley Tubing Hill, Chelan Washington

Icicle River Nordic Trails, Leavenworth, Washington

Icicle River Nordic Trails, Leavenworth, Washington

Biking Cowiche Uplands, Yakima, Washington

Biking Cowiche Uplands, Yakima, Washington

North White Bluffs Trail, Hanford Reach

North White Bluffs Trail, Hanford Reach

Bumping Lake Loop Cross Country Skiing

Bumping Lake Loop Cross Country Skiing

Lyle Cherry Orchard Trail & Lyle Loop Trail, Columbia River Gorge

Lyle Cherry Orchard Trail & Lyle Loop Trail, Columbia River Gorge

Luminaria Walk, Yakima Arboretum

Luminaria Walk, Yakima Arboretum

Jug Lake, William O. Douglas Wilderness

Jug Lake, William O. Douglas Wilderness

Bear Canyon & Ridge Loop, Oak Creek Wildlife Area

Bear Canyon & Ridge Loop, Oak Creek Wildlife Area

Tieton Nature Trail in Autumn, Oak Creek Wildlife Area

Tieton Nature Trail in Autumn, Oak Creek Wildlife Area

Tumac Mountain, William O. Douglas Wilderness

Tumac Mountain, William O. Douglas Wilderness

Snow & Gem Lakes, Alpine Lakes Wilderness

Snow & Gem Lakes, Alpine Lakes Wilderness

Rachel & Rampart Lakes, Alpine Lakes Wilderness

Rachel & Rampart Lakes, Alpine Lakes Wilderness

Shriner Peak Lookout, Mount Rainier National Park

Shriner Peak Lookout, Mount Rainier National Park

Crystal Lakes, Mount Rainier National Park

Crystal Lakes, Mount Rainier National Park

Burroughs Mountains & the Fremont Lookout, Mount Rainier National Park

Burroughs Mountains & the Fremont Lookout, Mount Rainier National Park

Skyline Loop Trail, Mount Rainier National Park

Skyline Loop Trail, Mount Rainier National Park

Old Snowy Mountain via Snowgrass Trail, Goat Rocks Wilderness

Old Snowy Mountain via Snowgrass Trail, Goat Rocks Wilderness

Bench & Snow Lakes, Mt. Rainier National Park

Bench & Snow Lakes, Mt. Rainier National Park

Rocky Reach and Apple Capital Loop Trails, Wenatchee, Washington

Rocky Reach and Apple Capital Loop Trails, Wenatchee, Washington

Chinook to White Pass Day 3: Bumping River to White Pass

Chinook to White Pass Day 3: Bumping River to White Pass

Chinook to White Pass Day 2: American Lake to Bumping River.

Chinook to White Pass Day 2: American Lake to Bumping River.

Chinook to White Pass Day 1: Chinook Pass to American Lake

Chinook to White Pass Day 1: Chinook Pass to American Lake

Goat Peak Via Hell’s Crossing

Goat Peak Via Hell’s Crossing

Lake Ingalls and Goats, July 21, 2021

Lake Ingalls and Goats, July 21, 2021

Yakima Fairgrounds Full Fireworks Show, July 4, 2021

Yakima Fairgrounds Full Fireworks Show, July 4, 2021

Hell (and Ginnette) Lake, July 1, 2021

Hell (and Ginnette) Lake, July 1, 2021

Hood River to Mosier—Columbia River Hwy Trail

Hood River to Mosier—Columbia River Hwy Trail

Owyhigh Lakes, June 19, 2021

Owyhigh Lakes, June 19, 2021

Bumping Lake Trail 971, June 12, 2021

Bumping Lake Trail 971, June 12, 2021

Packwood Lake, June 5, 2021

Packwood Lake, June 5, 2021

Red Top (Mtn) Lookout

Red Top (Mtn) Lookout

White Pass Sledding, May 9, 2021

White Pass Sledding, May 9, 2021

Average Value of a Function of Two Variables

Average Value of a Function of Two Variables

Volume Between Two Surfaces: Example 2

Volume Between Two Surfaces: Example 2

The Volume Between Two Surface: Example 1

The Volume Between Two Surface: Example 1

Volume Under a Paraboloid Using a Double Integral

Volume Under a Paraboloid Using a Double Integral

Volume Under a Cylinder Using a Double Integral

Volume Under a Cylinder Using a Double Integral

Volume of a Tetrahedron Using a Double Integral

Volume of a Tetrahedron Using a Double Integral

Volume Under a Surface Preliminary Conversation

Volume Under a Surface Preliminary Conversation

Variation of Parameters: Worked Example

Variation of Parameters: Worked Example

Variation of Parameters: Development of the Method

Variation of Parameters: Development of the Method

Recall: Cramer's Rule

Recall: Cramer's Rule

An Area Requiring Two Iterated Integrals

An Area Requiring Two Iterated Integrals

Changing the Order of Integration

Changing the Order of Integration

Using Iterated Integrals to Calculate the Area of a Bounded Region

Using Iterated Integrals to Calculate the Area of a Bounded Region

Using Iterated Integrals to Calculate the Area of a Rectangular Region

Using Iterated Integrals to Calculate the Area of a Rectangular Region

Finding the Area of a Region R in the xy-Plane

Finding the Area of a Region R in the xy-Plane

Evaluating an Iterated Integral

Evaluating an Iterated Integral

Integration with Respect to y

Integration with Respect to y

Integrating with Respect to x

Integrating with Respect to x

Sage Hills Trail, Wenatchee, Apr 25, 2021

Sage Hills Trail, Wenatchee, Apr 25, 2021

Undetermined Coefficients: Driving Function is a Solution of the Homogeneous Differential Equation

Undetermined Coefficients: Driving Function is a Solution of the Homogeneous Differential Equation

Undetermined Coefficients: Driving Function is a Linear Combination of Multiple Function Families

Undetermined Coefficients: Driving Function is a Linear Combination of Multiple Function Families

Undetermined Coefficients: Polynomial Times an Exponential Base e Driving Function

Undetermined Coefficients: Polynomial Times an Exponential Base e Driving Function

Undetermined Coefficients: Cosine/Sine Driving Functions

Undetermined Coefficients: Cosine/Sine Driving Functions

Undetermined Coefficients: Polynomial Driving Function

Undetermined Coefficients: Polynomial Driving Function

Overview of Undetermined Coefficients

Overview of Undetermined Coefficients

Using the Law of Cosines to Solve a SSS Triangle

Using the Law of Cosines to Solve a SSS Triangle

Using the Law of Cosines to Solve a SAS Triangle

Using the Law of Cosines to Solve a SAS Triangle

Worked Example--Characteristic Polynomial Has Complex Roots

Worked Example--Characteristic Polynomial Has Complex Roots

Worked Example: Characteristic Polynomial has Repeated Roots

Worked Example: Characteristic Polynomial has Repeated Roots

Worked Example When Characteristic Polynomial Has Two Real Roots

Worked Example When Characteristic Polynomial Has Two Real Roots

Solution Process When the Characteristic Polynomial has Complex Roots

Solution Process When the Characteristic Polynomial has Complex Roots

Solution Process When the Characteristic Polynomial Has a Repeated Root

Solution Process When the Characteristic Polynomial Has a Repeated Root

Solution Process: Case 1, Characteristic Polynomial Has Two Real Roots

Solution Process: Case 1, Characteristic Polynomial Has Two Real Roots

The Characteristic Polynomial

The Characteristic Polynomial

Rocky Top Spring Ride With Kids

Rocky Top Spring Ride With Kids

Rocky Top Apr 17, 2021 Without Kids

Rocky Top Apr 17, 2021 Without Kids

Finding a Least Squares Regression Line Using Calculus

Finding a Least Squares Regression Line Using Calculus

Finding Maximum Box Volume

Finding Maximum Box Volume

Reduction of Order Formula

Reduction of Order Formula

Reduction of Order: Example Two

Reduction of Order: Example Two

Reduction of Order: Example 1

Reduction of Order: Example 1

Worked Example: Finding Global Extrema of a Function of Two Variables

Worked Example: Finding Global Extrema of a Function of Two Variables

Extreme Value Theorem for Functions of Two Variables

Extreme Value Theorem for Functions of Two Variables

Second Partials Test for Local Extrema

Second Partials Test for Local Extrema

Finding a Critical Point: Undefined Partial Derivatives

Finding a Critical Point: Undefined Partial Derivatives

Finding and Graphically Analyzing the Critical Points of a Function of Two Variables

Finding and Graphically Analyzing the Critical Points of a Function of Two Variables

Relative Extrema of Functions of Two Variables

Relative Extrema of Functions of Two Variables

The General Solution for a Nonhomogeneous Equation

The General Solution for a Nonhomogeneous Equation

Fundamental Solutions Sets and the General Solution

Fundamental Solutions Sets and the General Solution

The Principle of Superposition (For Second-Order Linear Homogeneous Differential Equations)

The Principle of Superposition (For Second-Order Linear Homogeneous Differential Equations)

The Wronskian of Two Functions

The Wronskian of Two Functions

Linear Independence--Review

Linear Independence--Review

Determining Whether a Two-Parameter Solution Family Satisfies Given Boundary Values

Determining Whether a Two-Parameter Solution Family Satisfies Given Boundary Values

Existence and Uniqueness Theorem for Second-Order Linear Differential Equations

Existence and Uniqueness Theorem for Second-Order Linear Differential Equations