T2.1, #17: For the graph of g given, arrange the following numbers in increasing order and explain yourreasoning:0g'(-2)g'(0)g'(2)g'(4)y2A122x-pl4X2.1, #20: Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = -3 andg'(5) = 4:m = 4, x= 5, y = -3y-y₁ = m(x-x₁)4(x - 5)y-(-3) =Y+ 3 = 4x-20

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Answered: 2.1, #17: For the graph of g given,…

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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During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
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2.1, #17: For the graph of g given, arrange the following numbers in increasing order and explain your reasoning: 0 g'(-2) g'(0) g'(2) g'(4) 2 X.