Answered: determine the dimensions of a…

determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 316.5 square centimeters

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

Section9.3: Cylinders And Cones

Problem 25E

See similar textbooks

Related questions

Q: ∞ k=1 2e-4k

A: The given series is .We have to determine whether the series is converge or diverge.

Q: Problem #10: Suppose that the position vector of a particle is given by r(t) = 5ti + (4t² + 8)j + 3…

Q: Given y = f(u) and u = g(x), find dy dx y = cos u, u = 4x + 5 = f'(g(x))g'(x) : = dy = f'(g(x))g'(x)…

Q: Estimate the instantaneous rate of change of h(t) = 2t² + 6 at the point: t = 3 In other words,…

Q: Solve the given initial value problem. y" - 6y' +9y = 0; 23 y(0) = -3, y'(0) = 3

Q: Use the Limit Comparison Test to determine if the following series converges or diverges. 00 1 Hint:…

Q: 1. S 3x² Arctanx dx (Integration by Parts) (Ans: x³ Arctanx //ln|x² + 1| + C)

Q: Find the area of the shaded region. -4 x = y² -3 -2 y 2 -2 -3 y = 1 X = e) 2 y = -1

Q: Use Newton's method to find the real roots of f(x) = x³ - x - 7.

Q: The graph of a function is shown. Find each value. Enter DNE for any values which are undefined. 4 2…

Q: (a) (c) 0 0 X (b) (d) Ill y 0 Which graph below is the derivative of the function in (a)? [Select] J…

A: The graphs of the functions are given as

Q: 5. Use a multivariable chain rule to find a formula for the given derivative or partial derivative.…

Q: its wrong and the solution looks way to complicated. try it again please

Q: Find the complex zeros of the polynomial function f(x) = 3x¹ +5x³ +25x² +45x−18. Write fin factored…

Q: 1. Find the critical number for the function on its stated domain. 3x (1+x)³ ³ f(x) = = x > 0

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

Q: The plane x + y + 2z = 30 intersects the paraboloid z = x2 + y2 in an ellipse. Find the points on…

A: The plane x + y +2z= 30 intersects the paraboloid z = x2 + y2 in an ellipse. Find the points…

Q: Express in summation (sigma) notation (do NOT find the sums): (a) R=√10 +√√11+√√12+...+√999 (b)…

A: express in summation notation

Q: 5. A ball is thrown vertically upward and it's height (in meters) above the ground is modeled by the…

A: (5.) A ball is thrown vertically upward and it's height (in meters) above the ground is modeled by…

Q: Problems: 1. Find the derivative of each function. Show your work by splitting the function into…

Q: A computer Simulator of the flight of a baseball provided the data displayed in the accompanying…

A: A computer Simulator of the flight of a baseball provided the data displayed in the…

Q: Evaluate lim x 0 cos(x+2) sin x Show all work.

Q: Part. (a) lim x →∞ (A) 1 (D) ¹ X x+1 X (B) 0 (C) e (E) None of the above.

Q: ALTHOUGH PARTIAL FRACTION EXPANSION IS THE MAIN FOCUS IN QUESTIONS #4- # 11, DO NOT FORGET ABOUT…

A: The integration given is,

Q: Find the general solution of the given second-order differential equation. + 36y = 0 y(x) = y"

Q: Step 1: Find the distance function s(t) if s(0) = 0. Step 2: How far will the vehicle…

A: we have given velocity function

Q: Find the length of the curve. r(t) = (7t, 3 cos t, 3 sin t), -2 ≤ t ≤ 2

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 3 sin(t). The initial…

Q: Use the graph of f(x) = 0 < x -1 < 8. 8 ² below to find a number & such that ² - 1 < 0.5 whenever =…

A: To use the given graph of f(x) to find a number δ such that

Q: (2x Find the radius and interval of convergence of the power series : 3√√n²+1 n=0

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: Find the exact area of the region between y = 3x² + 12and y = 4x + 4 over [- 3, 3]. Show all work.

Q: plume of the solid obtained by rotating the region bounded by the curve x²+(y-1)²=1 about the…

Q: An open-top rectangular box is being constructed to hold a volume of 300 in ³. The base of the box…

A: Let z-in, y-in and z-in be the front width, depth and height of box respectively.Since volume of the…

Q: 3. Find the directional derivative of the given function f at the given point P in the direction of…

A: The given function is

Q: Find a polynomial function of degree 5 with -1 as a zero of multiplicity 3, 4 as a zero of…

A: If x=a is a zero of a polynomial then (x-a) is a factor of the polynomial.(Factor theorem)

Q: 1. Find the critical number for the function on its stated domain. In x f (x) = = X x > 0

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 6x; R(x) = 9x -…

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(9r – s, s² – 3r). Use the table…

Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. B= 1 6 - 6 4…

A: The solution is shown in step-2

Q: 4. A 15-foot long ladder rests along a vertical wall. Its top slides down the wall while its bottom…

Q: Level curves (isothermals) are shown for the typical water temperature (in °C) in Long Lake…

Q: The average price of a two-bedroom apartment in the uptown area of a prominent American city during…

Q: 23. A ship is on a heading of 040° at 20 knots and a 2 knot current is flowing from 010°. Determine…

Q: 4 Solution: -3 -2 g(x) y 2 0 -2 X 2 3 f(x) We can simplify the limit, and then evaluate both…

A: Given: To Find: To evaluate the following limit.

Q: again

A: Solving the problem

Q: Suppose you have a tank with water and at t = 0 (t is measured in minutes) the volume of the water…

A: The water flows into the tank at a rate of

Q: 2- Find the following limits: x2023 x-1 x2000-x a) lim

Q: (5) Find the equation of the tangent plane to the surface at the point (1,1,1). xe Z = x²²y-2x

Q: Given f(x, y) = -2x³ – 5xy² + y^, find the following numerical values: fx(2,3)= fy(2, 3) =

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x³…

Question

determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 316.5 square centimeters

find height length and width in cm

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 information

Step 2: calculation

Step 3: calculation

Step 4: calculation

Solution

Step by step

Solved in 5 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?
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?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gal of gasoline, what is the total storage capacity of the tank measured in gallons?