A rectangular box is to have a volume of 7200 cm3. The length of the box is three times the width. Determine the height of the box with the smallest total surface area. A rectangular box is to have a volume of 7200 cm³. The length of the boxis three times the width. Determine the height of the box with thesmallest total surface area.

Answered: Image /qna-images/answer/85e6ad5a-0911-4a8f-adcf-467905874da6.jpg

Answered: A rectangular box is to have a volume…

A rectangular box is to have a volume of 7200 cm³. The length of the box is three times the width. Determine the height of the box with the smallest total surface area.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter2: Linear Equations

Section2.1: Writing Equations

Problem 14CYU

See similar textbooks

Related questions

Q: c'(x) = e(x) e'(x) = t(x) t'(x) = h(x) h'(x) = c(x) 0 1 2 1 0 4 3 3 4 1 2 لا e(x) c(x) 3 t(x) 4 1 3…

Q: -8 Provide your answer below: -6 -4 10 MAT 8 6 2 -6 -8- 10 X Given the graph of f(x) in the figure,…

A: Step: 1Given that the graph of f(x)From the graph we have two local maximaLocal maxima occur atx…

Q: Use spherical coordinates. Evaluate y² dv, where E is the solid hemisphere x² + y² + z² ≤ 4, y ≥ 0.…

Q: Consider the following. u=i+j+k v = 2i + j - k Find u x v. Determine if u x v is orthogonal to both…

Q: -9-8-7-6-5 to 00 8- 7 6 5- th 3+ 2- 1 m y -5- -6+ 7+ 16 I I y = f(x) 3 4 5 6 7 8 9

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

Q: Graph the following inequality: > √x Use the pap

Q: Find d when = y = log(a) log(x) - 1

Q: Use the given transformation to evaluate the given integral, where R is the triangular region with…

Q: A gasoline-driven lawnmower has a blade that extends out 1.5 ft from its center. The tip of the…

A: The length of the blade, The speed of the tip of the blade, To determine: The angular velocity of…

Q: Change from rectangular to spherical coordinates. (a) (2,2,0) (p, 0, 4) = (b) (9, -3√3, 6) (p, 0, 4)…

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

Q: Consider a home mortgage of $150,000 at a fixed APR of 3% for 20 years. Complete parts (a)…

A: Given :

Q: (g) K(x): = 1+e-2x x+tan (12x)

Q: True or False 1. If f(x, y) > g(x, y) for all (x, y), then ff f(x, y)dA> ff g(x, y)d A.... ) R 2.…

Q: Find f¹(x) and identify the domain and range of f¹. As a check, show that f(f 1¹(x)) = f¯˜¹ (f(x)) =…

Q: Evaluate the triple integral. JI 7 sin(y) dV, where E lies below the plane z = x and above the…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Using differentiation, we can find slope of tangent and thus its equation.

Q: ow 50. a) Assume that w = f(s³ + t²) and f'(x) = e*. Find and dw at მs` af af b) Assume that w =…

A: a) and To find: and b) , , and To find: and

Q: Find the Jacobian of the transformation. x = u² + uv, y = 6uv²

Q: Find the general solution of the given higher-order differential equation. d³u d²u dt³ dt² u(t)= +…

Q: Write an equivalent double integral with the order of integration reversed. 3 X ƒ³ ƒ³ dy dx ľ 00

A: The given double integral is:

Q: Test the function z = z(x, y) for local maxima and minima and saddle points. Find the values of…

Q: 365 287

Q: Find d²y/dx² implicitly in terms of x and y. x²y 7x = 9 d²y dx² Need Help? X Read It 4

Q: The area of an ellipse with axes of length 2a and 2b is A = tab. Approximate the percent change in…

Q: Fi. Proof ( 1. Show that the local extrema of f(x, y) = x³+y³-6xy is-8.

A: Given function

Q: Evaluate the given integral by changing to polar coordinates. 16 x dA, where D is the region in the…

A: Polar to Cartesian coordinates

Q: Find the general solution of the given second-order differential equation. 2y" - 5y' + 6y=0 y(x) =

Q: Find the volume of the region bounded above by the paraboloid z = 3x² + 2y² and below by the square…

Q: Reverse the order of integration in the following integral. 1 6ex SS 06 f(x,y) dy dx

Q: The following picture is of the graph of f(0) = cose where ≤ 0≤T. 270 -1.5m -T -0.5T 0.5 0 -0.5-…

Q: f(x) = x²e² a) Determine the intervals on which f is concave up and concave down. f is concave up…

Q: Solve the following system of equations (1) 4x+y-2z= -29 (2) y- 5z = -8 (3) Z = -1

A: Substitute into the equation:

Q: =h² (3r-h), for 0shsr. Complete parts (a)-(d). The volume of the cap of a sphere of radius r and…

Q: Evaluate the given integral by making an appropriate change of variables. x - 5y 5. dA, where R is…

Q: Find the volume of the solid generated by revolving the region bounded by y = 3x², y = 0, and x = 3…

Q: Find the equation of each horizontal asymptote, if any, of the function f(x) = 4x - 1 2√√²-1 of your…

A: The given function .We have to find the equation of the horizontal asymptote.

Q: 2. Use the graphs of f(x)and g(x) to construct the graph of h(x)=(f-g)(x) on the grid provided. AK)…

A: By using the graphs of and to construct the graph of .

Q: Find the general solution of the given higher-order differential equation. au du ** - *** - 20 dt³…

Q: f(x) = 3 e4x-1 1+4x

Q: Use spherical coordinates. Evaluate y²z² dv, where E lies above the cone 4 = 77/3 and below the…

A: The given solid (E) lies above the cone and below the sphere . Now, using the spherical…

Q: MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Archaeologists used pieces of burned wood, or charcoal,…

Q: Let g(x) be the inverse of f(x) = x³ + 4x + 2. Calculate g(7), without finding a formula for g(x),…

Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

Q: f(x) = (2x - 1)º(5x² + 3)²

Q: K Find the area of a cone (not including the base) with base radius r and height h using a…

Q: Find the equivalent interest rates to the given nominal interest rates. a. Nominal interest rate…

A: To find the equivalent nominal interest rate, we have to use the following formula ;…

Q: 8 Use the Pythagorean Theorem to find the third side of the right triangle above. Then find the…

Q: Find the nth Taylor polynomial for the function, centered at c. 1 === =27/2/² n = 4, c = 2 P4(x) =…

Question

A rectangular box is to have a volume of 7200 cm³. The length of the box is three times the width. Determine the height of the box with the smallest total surface area.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Finding height of the box

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

can you make a diagram and show the second derivative rules?

Solution

by Bartleby Expert

SEE SOLUTION

Similar questions

A cylindrical container has a volume of 84 cubic inches and a radius of 3 inches. Find the height of the container.
Find the base and height of a triangle whose base is four inches more than six times height and hasan area of 456 square inches.
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
The total amount of stock milled off an aluminum casting in two cuts is 8.58 millimeters.The roughing cut is 6.35 millimeters greater than the finish cut. What is the depth of the finish cut?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?