Calculus Answers

Solve g(y)= 1/y over the interval (1,4)

The finite region bounded by the planes z = x, x + z = 8, z = y, y = 8, and z = 0 sketch the region in R3 write the 6 order of integration. No need to evaluate. clear writing please

A rectangular billboard 6 feet in height stands in a field so that its bottom is 13 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands x

x

 feet from the billboard. Express θ

θ

, the vertical angle subtended by the billboard at her eye, in terms of x

x

. Then find the distance x

x

 the cow must stand from the billboard to maximize θ

θ

.

Find the derivatives of all orders of the functions in Exercises 29 - 32 . 29. y = (x ^ 4)/2 - 3/2 * x ^ 2 - x 30. y = (x ^ 5)/120 30. y = (x - 1)(x + 2) * (x + 3) 32. y = (4x ^ 2 + 3)(2 - x) * x

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A closed cylindrical tank has a capacity of 50.265 m^3.

A. determine the radius of the cylindrical tank that requires minimum amount of material used.

B. compute the height of the tank.

C. if the galon of paint covers an area of 28 m^2, compute the number of gallons needed to paint the tank using two coats of paint.

f(x)= -x^2/(4x+4)

find the first and second derivative, x and y intercept, vertical and horizontal asymptote, x coordinates of the critical points, relative minima and maxima, open intervals where the function is concave up and concave down, when it is increasing and decreasing.

Also sketch the graph of this function

f(x)= 3/(x-1)

find the x and y intercepts, vertical and horizontal asymptotes, x coordinates of the critical points, open intervals where the function is concave up and concave down, relative minima and maxima.

Could you also sketch the graph of the function as well.

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A wire of length 20m is cut into two parys, one of which is bent into a circle and the other into a square. if the sum of the area of the figures is maximum,

a. find the diameter of the circle.

b. find the side of the square.

c. find the sumof the maximum area of the two figures in m^2.