f FacebookContentMATLAB CODING - OneDrive* Design Problem - MATH156_202 xAnswered: A 4-pound weight stre X+A webassign.net/web/Student/Assignment-Responses/last?dep=28859853An outdoor decorative pond in the shape of a hemispherical tank is to be filled with water pumped into the tank through an inlet in its bottom. Suppose that the radius of the tank is R = 10 ft, that water is pumped in at a rate of a ft/min, and that the tank is initially empty. As the tank fills, it loses water through evaporation. Assume that the rate of evaporation isproportional to the area A of the surface of the water and that the constant of proportionality is k = 0.01.Output: water evaporatesat rate proportionalto area A of surfaceFr-Input: water pumped inat rate 7 ft/min(a) hemispherical tank(b) cross-section of tank갓⒤뀐갓(a) The rate of change of the volume of the water at time t is a net rate. Use this net rate to determine a differential equation for the height h of the water at time t. The volume of the water shown in the figure is V = TRH2 - nh, where R = 10. Express the area of the surface of the water A = in terms of h.dt(b) Solve the differential equation in part (a).h(t) =Graph the solution.hhhh202020-20-15151515101010105510000 O600080010000 O10000 O2000400060008000200040002000400060008000200040006000800010000(c)If there were no evaporation, how long wouldtake the tank to fill? (Round your answer to two decimal places.)min(d) With evaporation, what is the depth of the water at the time found in part (c)? (Round your answer to three decimal places.)ftWill the tank ever be filled? Prove your assertion.5:54 pmO Type here to search32°C Mostly sunnyA 9 4) ENG09/02/2022

We have to find rate of change of volume from two way and then equate it to get required…

Answered: proportional to the area Aof the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Answer it step by step Subject: Thermodynamics and Heat Transfer
1. The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of the area when r = 6 inches and r = 21 inches. (a) r = 6 inches_________in2/min r = 21 inches.___________in2/min 2. A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations C = 15,000 + 1.95x and R = 500x − x2 25 where x is in the number of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 350 toys per week. Find the rate at which the cost, revenue, and profit are changing. a) cost dC dt = dollars/week (b) revenue dR dt = dollars/week (c) profit dP dt = dollars/week 4. The profit P from selling x units of a product is given by P = 560x − 0.2x2. The sales are increasing at a rate of 6 units per day. Find the rate of change of the profit (in dollars per day) when x = 500 units and x = 800…
Appears I got the question in correct in that there are 2 radi in this problem, radius of the sphere and radius of the water! Thus making it a tad more difficult, grateful if you could take a look so I can see where my mistakes where. Thanks
Which of the following correctly states how the velocity of liquid changes with temperature? A Viscosity decreases with the decrease in temperature B Viscosity increases with the increase in temperature C) Viscosity increases with the decrease in temperature D) Viscosity decreases with the increase in temperature
1. A spherical balloon is inflated so that its volume is increasing at the rate of 7 How fast is the diameter of the balloon increasing when min the radius is 3 ft? min NOTE: Enter the exact answer. Rate of change of the diameter = min 2. A conical water tower with vertex down has a radius of 14 ft at the top and is 18 ft high. If water flows into the tank at a rate of 28 ft/min, how fast is the depth of the water increasing when the water is 17 ft deep? Round your answer to two decimal places. The depth of water is increasing at a rate of ft/min. 3. An aircraft is flying horizontally at a constant height of 5000 ft above a fixed observation point (see the figure below). At a certa instant the angle of elevation is 30 and decreasing, and the speed of the aircraft is 240 mi/h. Use 1 mi=5280 ft. a) How fast is decreasing at this instant? Express the result in units of deg/s. Round your answer to one decimal place. 0 is decreasing at a rate of deg/s. b) How fast is the distance between…
A Model for Bacterial Growth Bacteria, must create new cell walls as they grow. Consider a rod-like bacterium, which you may model as a cylinder of radius a and length L. Over time the bacterium grows, that is, Lincreases, but a stays constant. Relate the rate of surface area increase, dS/ dt ,to the rate of volume increase, dVidt. answer

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS