Calculus Answers

A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole?

what is the length of the conjugate axis? (y-2)^2/16-(x+1)^2/144=1

Sketch the region below the curve y=2x−x^2 and above the x-axis and find its area.

Find the largest rectangle that can be inscribed in a given circle with radius of 12 ft.

Aguitar with trapezoidal cross section is to be made from a long sheet of stainless steel that is 30 cm wide by turning up one fourth of the width in each side. What width across the top will give the max cross-section area?

my assignment in calculus

C average =2q^2-42q+210/q
P that maximize profit

Trace the curve xy^2=a^2(a-x),a>0

Find the radius of the sphere which passes through the points (0,0,0),(1,0,0),(0,1,0),(0,0,1)

Integrate x(lnx)^2dx

Experiments in an electrical engineering laboratory appear to be related by the following hyperbolic and trognometric relationship.

3sinh x + 2cosh x = Tan(81.87°)

a) Using your knowledge of exponential represntation of hyperbolic function, find all values of a which satisfy the equation.

b) Verify your solutions using the standard hyperbolic and trigonometric functions.

Prove that lim x-->oo ((11x+7)/(8-5x)) = -11/5 using the delta - epsilon definition of limits?