21. At all times, the length of the long leg of a right triangle is 3 times the length x of the short leg of thetriangle. Find an equation that relates area A to x.#3ED80F3$4RFQF4%5TG9F56MacBook AirYH&7F7U* 008JDIIF8I(9KF9OLF10| 'PF1111 +WE{=[

Answered: Image /qna-images/answer/9ad4bd80-34fb-4666-8816-528bed6327d8.jpg

Answered: 1. At all times, the length of the long…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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5. A city is planning to build a circular water pond for the new park. The depth of the pond will be 2 ft. and because of water resources the maximum volume will be 12 000ft. Find the radius of the pond. Use the equation V = Tr2h where V is the volume, r is the radius and h is the depth.
III. Answer the following questions. 1. A window in the shape of a rectangle surmounted by a right triangle can be seen in the image below. The ratio of the height of the right triangle to the width of the rectangle is 5:12. If the area of the window is 6 square meters, find the dimensions of the window so that the least amount of window frame material can be used.
Q.1: The length of rectangular piece of paper exceeds its breadth by 5cm. If a strip of 0.5cm wide be cut all round the piece of paper, the area of the remaining part would be 500 square cms. Find its original dimensions.
i féet. How far will a car skid at 60 mph? at 100 mph? 3. Carpenters stabilize wall frames with the diagonal brace. The length of the brace is given by L= VH2 +W². If the bottom of the brace is attached 9 meter from the corner and the brace is 12 meter long, how far up the corner post should it be nailed?
Please explain how to solve both, thank you!
Find L(cosht.cost)

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1. At all times, the length of the long leg of a right triangle is 3 times the length x of the short leg of the triangle. Find an equation that relates area A to x.