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The radius of a right circular cylinder is increasing at a rate of 9 inches per minute, and the height is decreasing at a rate of 7 inches per minute. What is the rate of change of the volume when the radius is 13 inches and the height is 36 inches?  

A cargo container (in the shape of a rectangular solid) must have a volume of 520 cubic feet. The bottom will cost $7 per square foot to construct and the sides and the top will cost $3 per square foot to construct. Use Lagrange multipliers to find the dimensions of the container of this volume that has minimum cost.  

Find the minimum distance from the point to the surface .  

​Find the partial derivativefor the function. ​

Suppose a pharmaceutical corporation has two plants that produce the same over-the-counter medicine. If and are the numbers of  units produced at plant 1 and plant 2, respectively, then the total revenue for the product is given by . When and find the marginal revenue for plant 1. ​

Suppose electrical power P is given by , where E is voltage and R is resistance. Approximate the maximum percent error in calculating the power if 120 volts are applied to a 5000-ohm resistor and the possible percent errors in measuring E and R are 8% and 2%, respectively. ​

Use the gradient to find the directional derivative of the function at P in the direction of Q.    

The parametric equations for the paths of two projectiles are given below. At what rate is the distance between the two objects changing at ? Round your answer to two decimal places.  

A _____ generates an ethical program that creates order by requiring that employees identify with and commit to specific required conduct using legal terms and statutes.

What type of fraud involves intentional deception on the part of an individual or group in order to derive an unfair economic advantage over an organization?