A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Material for the base costs $20 per square meter. Material for the sides costs $12 per square meter. Find the cost of materials for the cheapest such container. (Round your answer to the nearest cent.)

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

A: Click to see the answer

Q: (x1) Solve the IVP: y/ , y (0) = 1 y2 O y22y( 1)3 9 O 3y2 6y 2 (x + 1)3 7 O y22y

A: It is given that,

Q: step by step on how to see if these functions are inverses to each other

A: Rewrite as follows.

Q: Find all the x-values at which the critical points occur of the function f(x)- 5x3 19x + 10x on the ...

A: Consider the given function.

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 16.

Q: Find h(-2)         h(t)=t^2-4t+2

A: The given function, h is,

Q: The function f has a continuous second derivative, and it satisfies f(7)=5, f′(7)=4 and f″(7)=−2. We...

A: f"(7)=-2 Since f " (7) < 0 so at x=7 f(x) is concave down.

Q: Find the volume of the solid created by rotating the region bounded by y = sinh x, y = cosh x, x = 0...

A: Sketch of the region:

Q: 0 and f" (x) < 0 for all x 50. Suppose f(3) = 2, f'(3) and f'(x) 2 a. Sketch a possible graph for f ...

A: We can conclude from f(3) = 2 that the value of f(x) at x = 3 is 2.So we got one point on the curve ...

Q: T/F (with justification) The graph of the semicircle on [−1, 1] below fits the hypotheses of the Mea...

A: Mean value theorem purposed that at least one place in between (a, b) where the tangent line there i...

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

Q: dx Evaluate 256 289x2 dx 256-289x (Use C as an arbitrary constant.)

A: Substitute for x as follows.

Q: Find positive numbers x and y satisfying the equation xy=15 such that the sum 3x+y is as small as po...

A: Click to see the answer

Q: Find the maximum and minimum values of the function y = 4 cos(0) 7 sin(e) on the interval [0, 2x] by...

A: Compute the critical points as follows.

Q: The question says: "A pair of parametric equations is given. a.) Sketch the curve represented by the...

A: Given:

Q: 10 5 0 -1 -10 Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and it...

A: A(blue) is the graph of the functionB(red) is the graph of the function's first derivativeC(green) i...

Q: Let N=f(H) give the number of days it takes a certain kind of insect to develop as a function of the...

A: definition of domain.

Q: I think this question (included in the image) is looking for a derivative of sorts

A: Please see the white board for the formulation.

Q: A. Find K given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.  B. Write do...

A: Given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.

Q: Find the area of the region bounded by x = y^2 - 2, y = ln x, y = -1, and y = 1. Sketch the region.

A: We graph the functions first. We need to find the area of the shaded region.y=lnx =&gt; x= e^y

Q: An investment grows at 24% compounded monthly. How many years will it take to do the following? (Rou...

A: Consider the given information:

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is positive...

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) -)= x 5x1- x lim (b...

A: Evaluate the following limit,

Q: what´s the derivate of x/3*x^2

A: To Find the derivative.Taking the constant term outside, and cancel the common term x,

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464 ft...

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 – 32...

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a subinterval. 

Q: 4. Find the area that lies inside the curve r = 4 cos and outside the curve r = 2.

A: Given, curves are

Q: step by step , i think these two problems is using the compound interest formula

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: I need to find the answer using integration with polar coordinates.

A: Given:

Q: Find the area of the region enclosed by one loop of the curve. 18. r^2 = 4cos2(theta)

A: Refer to the question we need to find the area of the region enclosed by one loop of the curve.

Q: please answer question 19

A: Consider a function f(x)=2x+cosxWhen 2x+cosx=0 then f(x)=0f(x)=0 occurs at x intercept. 

Q: 3.75 divided by ( 1- 1.00375) -36  negative exponent -36

A: Given,

Q: Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a spher...

A: Let r be the radius of the cylinder and h be the height of the cylinderR is the radius of the sphere...

Q: Differentiate. f(x) = x2 sin(x)

A: To determine the derivative of the function.

Q: Problem 2 Parts 1,  2 , and 3 please

A: Given,

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. f(x) 4x2-5x+5

A: First find f(x+h).Replace x by x+h in f(x)=4x^2-5x+5

Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter you...

A: Given:Determine the equation of the tangent line to the given path at the specified value of t.

Q: Can you help with this problem step by step?

A: Given function is

Q: check my answer 5x+3y=-6 x=3 2x-3y=27 y=-7

A: Given system of equations are