Evaluate the definite integral integration limit 0 to π/2 of the function cos²x . Study help 640 подписчиков Скачать
Integrate the function √(x²-8x+7) is equal to (A)1/2(x-4)√(x²-8x+7) + 9log|x-4+√(x²-8x+7)| + c Скачать
Integrate the function e^x.secx(1+tanx) equals (A)e^x.cosx+c(B)e^x.secx+c(C)e^x.sinx+c(D)e^x.tanx+c Скачать
Integrate the function x²e^x³ equals (A)1/3.e^x³ + c (B)1/3.e^x² + c (C)1/2.e^x³ + c (D)1/2.e^x² + c Скачать
Choose the correct answer integrate the rational function 1/x(x²+1) equals (A) log|x|-1/2log(x²+1)+C Скачать
Choose the correct answer integrate the rational function x/(x-1)(x-2) equals (A)log|(x-1)²/x-2|+C Скачать
Integrate the rational function 1/x(xⁿ+1).[Hint:multiply numerator& denominator by x^(n-1)&put xⁿ=t] Скачать
Integrate the function 1/√(9x-4x²) equals (A)1/9.sin^-1((9x-8)/8)+c (B)1/2.sin^-1((8x-9)/9)+c Скачать
Integrate the function 1/(x²+2x+2) equals (A)xtan^-1(x+1)+c (B)tan^-1(x+1)+c (C)(x+1)tan^-1(x)+c Скачать
Integrate the function e^x(1+x)/cos²((e^x)x) equals (A)-cot(ex^x)+c (B)tan(xe^x)+c (C) tan(e^x)+c Скачать
Integrate the function (sin²x-cos²x)/sin²xcos²x is equal to (A) tanx+cotx+c (B) tanx+cosecx+c Скачать
Integrate the function 1/sin²xcos²x equals (A) tanx + cotx +c (B) tanx - cotx + c (C) tanxcotx + c Скачать
Integrate the function 10x^9 + 10log10/(x^10 + 10^x) equals (A) 10^x - x^10 + c (B) 10^x + x^10 + c Скачать
If d/dx(f(x)) = 4x³-3/x⁴ such that f(2)=0. f(x) is(A)x⁴+1/x³-129/8 (B)x³+1/x⁴+129/8 (C)x⁴+1/x³+129/8 Скачать
The anti derivative of (√x +1/√x) equals (A)1/3x^1/3 +2x^1/2 + c (B)2/3x^2/3+1/2x²+c (C)2/3x^3/2 Скачать
The maximum value of [x(x-1)+1]^(1/3), x is greater than or equal to 0 and less than or equal to 1 Скачать
The point on the curve x² = 2y which is nearest to the point (0,5) is (A)(2√2,4) (B)(2√2,0) (C)(0,0) Скачать
Show that semi-vertical angle of right circular cone of given surface area and maximum volume is Скачать
Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is Скачать
Show that the right circular cone of least curved surface and given volume has an altitude equal to Скачать
Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is 8/27 of Скачать
A wire of length 28m is to be cut into two pieces. One of the pieces is to be made into a square and Скачать
Of all the closed cylindrical cans (right circular), of a given volume of 100 cubic centimetres, Скачать
Show that the right circular cylinder of given surface and maximum volume is such that its height Скачать
Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area. Скачать
A rectangular sheet of tin 45cm by 24cm is to be made into a box without top, by cutting off square Скачать
A square piece of tin of side 18cm is to be made into a box without top, by cutting a square from Скачать
Find two positive numbers x and y such that their sum is 35 and the product x²y^5 is a maximum. Скачать
It is given that at x = 1, the function x⁴ - 62x² + ax + 9 attains its maximum value on the interval Скачать
Find the maximum value of 2x³ - 24x + 107 in the interval [1,3]. Find the maximum value of the same Скачать
Find the maximum profit that a company can make, if the profit function is given by p(x)=41-72x-18x² Скачать
Find the absolute maximum value and absolute minimum value of the following functions in the (4) Скачать
Find the absolute maximum value and absolute minimum value of the following functions in the (3) Скачать
Find the absolute maximum value and the absolute minimum value of the following functions in the (2) Скачать
Find the absolute maximum value and the absolute minimum value of the following functions in the (1) Скачать
Prove that the functions do not have Maxima or minima:(1)f(x) = e^x (2)g(x) = logx (3)h(x)=x³+x²+x+1 Скачать
Find the local Maxima and local Minima, if any, of the following functions. Find also the local (8) Скачать
Find the local Maxima and local minima, if any, of the following functions. Find also the local (7) Скачать
Find the local Maxima and local minima, if any, of the following functions. Find also the local Скачать
Find the local Maxima and local minima, if any, of the following functions. Find also the local Скачать
Find the local Maxima and local minima, if any, of the following functions. Find also the local Скачать
Find the local Maxima and local minima, if any, of the following functions. Find also the local Скачать
Find the local Maxima and local minima, if any, of following functions. Find also the local maximum Скачать
Find the local Maxima and local minima,if any, of the following functions. Find also the local Скачать
Find the maximum and minimum values, if any, of the following functions given by h(x) = x+1,x€(-1,1) Скачать
Find the maximum and minimum values, if any, of the following functions given by f(x) = |sin4x + 3|. Скачать
Find the maximum and minimum values, if any, of the following functions given by h(x) = sin(2x) + 5. Скачать
Find the maximum and minimum values, if any, of the following functions given by g(x) = -|x + 1| + 3 Скачать
Find the maximum and minimum values, if any, of the following functions given by f(x) = |x +2| - 1. Скачать
Find the maximum and minimum values, if any, of the following functions given by g(x) = x³ + 1. Скачать
Find the maximum and minimum values, if any, of the following functions given by f(x) = -(x-1)² + 10 Скачать
Find the maximum and minimum values, if any of the following functions given by f(x)=9x²+12x+2. Скачать
Find the maximum and minimum values, if any of the following functions given by f(x) = (2x-1)² + 3. Скачать
The approximate change in the volume of a cube of side x meters caused by increasing the side by 3% Скачать
If f(x) = 3x² + 15x + 5,then the approximate value of f(3.02) is (A)47.66 (B)57.66 (C)67.66 (D)77.66 Скачать
If the radius of a sphere is measured as 9m with an error of 0.03m, then find the approximate error Скачать
If the radius of a sphere is measured as 7 m with an error of 0.02 m , then find the approximate Скачать
Find the approximate change in the surface area of a cube of side x meters caused by decreasing the Скачать
Find the approximate change in the volume V of a cube of side x meters caused by increasing the side Скачать