RUSH Application of Derivatives- Kindly provide a diagram and show complete solution. ty A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of 10m, anupper base of 17m, and a lower base of 5m. At the instant when the water is 5m deep, find the rate atwhich the water is leaking out if the water level is falling at 0.1m/hr. (Volume of a trapezoidal prism is+bhl, where a and b are bases of the trapezoid, h is the height of the trapezoid, and l is the length ofthe prism.)

Given that the reservoir is 80m long whose cross-section is an isosceles trapezoid with sides of…

Answered: A reservoir is 80m long and its cross…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. Find two positive integers (counting numbers) such that the sum of the first number and four times the second number is 1000 and the product of the numbers is as large as possible. For this question, you must use differentiation; sketch a picture, setup an equation, and follow the processes laid out in class and in the videos to find the optimal solution.
Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest to A and B are 6 km apart. Where should a station be located to minimize the length of the new road from A to S to B? (grade 12 calculus, use derivatives)
Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A closed, right circular cylinder container (think big, sealed soup can) is to have a volume of 5000in³. Find the dimensions that minimize the surface area. Round the answer to one decimal place (the nearest tenth of an inch). The answer is r≈ 9.3 and h≈ 18.4 inches. Now show the work. For this question, you must use differentiation; sketch a picture, setup an equation, and follow the e processes laid out in class and in the videos to find the optimal solution.
Learning Target DA6: I can set up and use derivatives to solve applied optimization problems. A box with an open top has vertical sides, a square bottom, and volume of 108 cubic meters. If the box has the least possible surface area, find its dimensions (give all three dimensions). For this question, you must use differentiation; sketch a picture, setup an equation, and follow the processes laid out in class and in the videos to find the optimal solution.
#5 I’m having issues trying to set up me problem to start working it. Can someone help me? -Thanks
- DISCUSS: Enter Equations Carefully A student wishes to graph the equations y = x/3 and y = x + 4 on the same screen, so he enters the following information into his calculator: Y, = X^1/3 Y2 = X/X+4 %3D The calculator graphs two lines instead of the equations he wanted. What went wrong?
Linear Regression
TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for what is asked. 3. A 150-room hotel in Reno will rent all of its rooms if it charges P4, 000 per room. However, from experience, the manager knows that for each P200 Increase per room, three fewer rooms will be rented per night. What rent per night would maximize the profit if the maintenance per room costs P100 per night? Hint: Profit = Revenue - Cost Revenue = Number of room rented & Rate per room Cost = Number of room rented amaintenace per room
#12 can you show me how to do this right? I’ve attached my work.

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