* What is the limit as x approaches infinity of (1 + (k/x))to the x?
* The height (in feet) of a bullet fired vertically upward is given by h=1280t-16(t squared). What is the maximum height the bullet will reach (neglecting air resistance)?
* A man wishes to fence a rectangular plot lying next to a river. No fencing is required along the river bank. If he has 1,200 ft of fence, and wishes to enclose the maximum area possible, what should be the dimensions of the desired plot?
* A rectangular area of 24,300 square ft is to be encolsed on 3 sides with a fence that costs {$6} per ft and in front by a fence that costs {$10} per ft. What dimensions will be most economical?
* The side of a cube due to heating is increasing at a rate of 0.1 cm per minute. How fast is the volume of the cube increasing when a side measures 12 cm?
* A spherical balloon is being inflated at a rate of 3 cubic meters per second. How fast is the radius increasing when the radius is 10 meters? Volume=(4 over 3) pi (radius cubed) ?
* Which of the following can be thought of as a special case of the Mean Value Theorem?
* How many REAL roots does the polynomial x to the fifth +12x-7 have?
* What is the integral from 0 to Pi over 2 of (Sine of x divided by the sum of Sine of x and Cosine of x)?
* How many roots (real or complex and counting multiple roots the number of times they occur) will a polynomial of degree n have?
* Suppose a function satisfies f(0)=1 and f(2)=-1. What can we say about the roots of the function between 0 and 2?
* Are the following statements true or false: A. If a function is differentiable at 0, it is continuous there. B. If a function is differentiable at 0, its derivative is continuous there?
* What is the derivative of 'y = 3x squared'?
* What is the derivative of 'f(y) = 2y to the the power of one third'?
* What is the derivative of 'y = 2x squared - 3x + 4'?
* What is the derivative of 'y = (2x + 3)squared'?
* What is the derivative of 'f(x) = x(x + 1)'?
* Find f'(x) (the derivative of f(x)) if f(x) = 7x^3 - 2x^2 + 4x - 5.
* Find dy/dx if y = e^a.
* If f(x) = x (ln x), find f'(x).