You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 686cm3. Determine the minimum surface area necessary to construct a box of this volume. Enter an exact answer.

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 686cm3. Determine the minimum surface area necessary to construct a box of this volume. Enter an exact answer.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 20CR: If the radius length of one sphere is three times as long as the radius length of another sphere,...

See similar textbooks

Related questions

Q: he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x)…

A: R(x) = 51500x4.14 + 1.09 x = 0.08 dx = Δx = 0.006 R(x) =R(0.08)=2.6

Q: the equation of the tangent line to the graph of the function f(x) = √√4x³ + 5 at V

A: Topic:- application of derivatives Slope of tangent line is first derivatives of curve at…

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

A: Basic differential equation is used

Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: Given equation:- x5-x-5=0 , x1=1

Q: 1. Condense 3 log, x + -log(x-1) - 4 log(x + 2) into one logarithmic expression. 2. Solve 7³t = 100.…

Q: The masses m, are located at the points P. Find the center of mass of the system. = 2, m3 4, m2 6.…

Q: Evaluate the following definite integral. Express your answer in terms of logarithms. In 9 S In 7 In…

Q: SW n=1 3n+2 2n+3 h

A: Given :∑n=1∞3n+22n+3n

Q: Determine whether the series 2-√√n +∞o Σ √√n n=1 converges or diverges using the Integral Test.

Q: Example 8 -[ If K= = A 12 9 12 15 3 0 2 } what is the value of k₁3 +k₁₁? B 9 C 3 D 5 E 18

Q: Find the (a) derivative y'= dy dx y = (n² + 5 secx) ㅠ of following Question tog 3 x

A: Note: Due to guidelines i can solve only your first question. Solution: a) y=πe+5sec xlog3x…

Q: ขน lim (x,y) → (0,0) x² +10y²

Q: Question 2 a. I b. | function f(x, y) = y² − x² + — a 1 Find the critical points of the function…

Q: Q4 (a) Calculate the surface integral: [] (² + (y² + 2yz) dS where o is the first octant of the…

A: To evaluate the surface integral Given plane 2x+y+2z=6

Q: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

Q: f(x( = (x( sinx

Q: 1. Answer the questions below and then sketch the graph of the exponential function f(x) = (-)* + 1.…

Q: Let v = (2, -1, 5) and u = (5, -7,3). Find 37 - 5u

A: We have to find 3v - 5u

Q: A periodic function f(x) is defined as 3, f(x) = {x, f(x+2) -1≤x<0, 0≤x<1. Based on the above…

Q: - lim x²ln x x->0+

A: Solution of given question is written in below steps.

Q: Integral Calculus (Please write the complete solutions. UPVOTE WILL BE GIVEN! NO LONG EXPLANATION…

A: Volume of solid using shell method

Q: Let f(x) be defined by Find f'(1). f(x) = (2x - 1).

Q: Use polar coordinates to set up and evaluate the double integral f(x-

Q: 3. What is the arc length of y=e* from x= 1 to x=5? Draw the curve

Q: Consider the function g(x) =−4 log (−1/3 (x + 2)) + 1. a) Describe, in order and with detail, the…

A: We will use concepts of translation , dilation and reflection.

Q: b\ Fill the blanks 2/3 (1) Suppose you have a matrix x = [33], 13 4/5/61 2) Suppose you have a…

A: To fill in the blanks.a Suppose you hava a matrix x=12343456, then x...=35.b Suppose you hava a…

Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find the slope of the tangent line to the curve y = f(x)…

Q: Suppose that the position of a particle is given by s(t) = 6t³ + 2t +9. (a) Find the velocity at…

A: See the details solution in below

Q: Evaluate the limit. 1-x² lim *+1 sin(27x) a) lim b) x+2x² C) lim - - 2x *→(π/2)- (2-) tan r Show all…

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 114 ft/sec Not…

Q: Use this to find the equation of the tangent line to the parabola y = 3x² - 2x + 7 at the point (-2,…

Q: Find the derivative of f (y) 30% In(y) Enclose arguments of functions, numerators, and denominators…

A: To find the derivative of the given function.

Q: Let X 1 f(x) = √²/² 0 e²x² 842 dt. t4 +5 ex none of the choices e2x Find the derivative f'(x).

Q: etermine the Laplace Transfor f(t) = 3te-5t cos(2t) stands ca

Q: solve the differential equation dy/dx=2x^4sqrt of y, y.0

A: Solution of given question is written in below steps.

Q: The tank shown is full of water. 3 m E. 8m 3 m (a) Find the work required to pump the water out of…

Q: Use the geometric series formula x5 1 + x = ∞ n=0 1 1 - Y = ∞ Σy" to express the function as a…

Q: Let f and g be functions satisfying that f(1) = 3, g(1) = 4, f'(1) = 1, g'(1) = 5. For the following…

Q: 2π tane 13-12cose de

A: We will find thw integral.

Q: (a) cos(8): = √2 2

A: answer is in next step. please give a like .

Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 - 3t, where 0 ≤ t ≤ 0.5…

A: Topic:- trigonometry ratios application

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 7 sin(t). The initial…

A: Given: a(t)=7 sin(T) ,Initial velocity v(0)=-6m/s

Q: Find an equation of the line that passes through the point and has the indicated slope. Slope 8 3…

A: To find out the equation of line.

Q: Find the centroid of the region bounded 1 y = 6 sin(x), y ==x, and x = The centroid is at (x, y)…

A: The solution is given below

Q: 2 0 The Integral ²₁ g(x, y) dydx can be 1-x written as: Select one: 2 O S-²₁ ₁²₁, g(x, y) dxdy 1-y 0…

Q: Suppose an object is moving along a verticals line. It’s vertical position is L(t)= -t^2 -4t+12.…

Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

Q: Consider the following function: f (x) = x^4 − 8x^2 − 8 Determine f′(x) and f′′(x). Determine where…

Question

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A storage shed is in the shape of a trapezoidal prism. Each trapezoid represents one of its bases. With dimensions as shown, what is the storage capacity volume of its interior?
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?
Given that a regular polyhedron of n faces is inscribed in a sphere of radius length 6 in., find the maximum largest possible volume for the polyhedron.
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?