Question what is the area of the largest rectangle with lower base on the x axis and upper vertices on the curve y

4 square units will be the area of the largest rectangle. Given, First, let’s build a rectangle ABCD, where A is the point at the bottom right corner and B,C, and D are the points designated in accordance with A. Now, Let A = (p, 0) B = (-p, 0) C = (-p, 3 – p²) D = (p, 3 – p²) Then the area of rectangle is given as: BA×AD = 2p × 3 – p² A = 6p – 2p³ Taking the derivative with respect to p, we have A’ = 6 – 6p² Now, A’ =0 ⇒ 6 – 6p² = 0 ⇒ 6p² = 6 ⇒ p² = 1 Since, we have to find the greater area, therefore we will take p = 1. Now, substituting the value of p in (A), we have Greater area = A= 6 – 2 x 1 = 4 square units Therefore, The area of the largest rectangle should be 4 square units. Learn more about area of largest rectangle here; https://brainly.com/question/11877528 #SPJ4 Question is incomplete. Completed question is given below; What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 3 − x2? Log in to Reply

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