Differential And Integral Calculus By Feliciano And Uy Chapter 4

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Differential And Integral Calculus By Feliciano And Uy Chapter 4

Rectangular field with 600m fencing, one side against river (no fence). Max area.
Let (x) = side parallel to river, (y) = other side. (x + 2y = 600) → (A = xy = y(600-2y)) → derivative → (y=150), (x=300).

While specific editions vary slightly, a standard copy of Differential and Integral Calculus by Feliciano and Uy contains the following vital sections in Chapter 4:

Find two numbers whose sum is 20 and product is maximum.
Solution: (x + y = 20), (P = xy = x(20-x) = 20x - x^2)
(P' = 20 - 2x = 0) → (x=10, y=10), max (P=100)

Differential And Integral Calculus By Feliciano And Uy Chapter 4

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Rectangular field with 600m fencing, one side against river (no fence). Max area.
Let (x) = side parallel to river, (y) = other side. (x + 2y = 600) → (A = xy = y(600-2y)) → derivative → (y=150), (x=300).

While specific editions vary slightly, a standard copy of Differential and Integral Calculus by Feliciano and Uy contains the following vital sections in Chapter 4:

Find two numbers whose sum is 20 and product is maximum.
Solution: (x + y = 20), (P = xy = x(20-x) = 20x - x^2)
(P' = 20 - 2x = 0) → (x=10, y=10), max (P=100)