parts 1-3 The graph below shows the derivative F'(x) of a function F(x) and the values of some areas.The derivative F'(x) has zeros at x = 1.5 and x = 4.67.Local Minimum:Absolute Maximum:2Absolute Minimum:Area = 25Area = 34T3T4F'(x)561. If F(0) = 14, find F(1.5).2. Find F(4.67).3. Find F(6).4. Sketch a graph of the function F(x). Use an xy-plane where 0 ≤ x ≤ 6 and -20 ≤ y ≤ 20.5. Identify the coordinates, in the form (x, y), of the local and absolute maximum andminimum of f in the interval [0, 6].Local Maximum:Area = 5X▪ You must show ALL of your work in order to receive full credit.▪ A PDF file upload is required for each question.

1. Consider the graph given in the problem, We know that, Fx=F0+area under the F'x curve Since, we…

Answered: The graph below shows the derivative…

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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The graph below shows the derivative F'(x) of a function F(x) and the values of some areas. The derivative F'(x) has zeros at x = 1.5 and x = 4.67. 1. If F(0) = 14, find F(1.5). 2. Find F(4.67). 3. Find F(6). 2 Area = 25 Area = 34 T 3 4 F'(x) 5 6 Area = 5 x