Math

CalculusQ&A LibraryA 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top flush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to the product xy.a. If the total cost is c = 5(x2 + 4xy) + 10xy, what values of x and y will minimize it?b. Give a possible scenario for the cost function in part (a).Question

Asked Jan 17, 2020

20 views

A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top flush with the ground to catch runoff water. The costs associated with the tank involve not only the material from which the tank is made but also an excavation charge proportional to the product xy.

a. If the total cost is c = 5(x2 + 4xy) + 10xy, what values of x and y will minimize it?

b. Give a possible scenario for the cost function in part (a).

Step 1

Given A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top flush with the ground to catch runoff water.

Step 2

Given A 1125 ft3 open-top rectangular tank with a square base x ft on a side and y ft deep is to be built with its top flush with the ground to catch runoff water.

Step 3

But given the...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Find the two functions f and g such that:

A: Click to see the answer

Q: Are there any points on the curve y = (x/2) + 1/(2x - 4) where the slope is -3/2? If so, find them.

A: Find dy/dx

Q: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

Q: Exercise 4: Find the area bounded by the given set of curves. Note graphing the region may be helpfu...

A: Part (a) - We have been given two functions and we need to find the bounded area between the two fun...

Q: find derivative 1. y = ln (3ue^-u) 2. y = ln (2e-^t sin t) 3. y = e^sin t (ln t2 + 1)

A: find derivative

Q: Va dx using upper and lower sums. Guess a (rational) number for the value of the Exercise 2: Estimat...

A: Let n be an integer. In this question let n=4 Now first find the upper sum of the integral:

Q: Suppose that the radius r and area A = pai r2 of a circle are differentiable functions of t. Write a...

A: Given, Radius = r Area = A= pi*r^2

Q: If y = x2 and dx/dt = 3, then what is dy/dt when x = -1?

A: Differentiate both sides with respect to t.

Q: How are the domains, ranges, and graphs of functions and their inverses related? Give an example.

A: Click to see the answer