Let g (x) = Vx and f (x) = kx², where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). Round your answer to three decimal places. The slope is i (b) Find the equation of this tangent line. Round your answer for y-intercept to the nearest integer. The equation is y = i x+ i (c) If the graph of ƒ contains the point (4, 2), find k. Enter the exact answer. k = (d) Where does the granh of f intersect the tangent line found in part (bl?
Let g (x) = Vx and f (x) = kx², where k is a constant. (a) Find the slope of the tangent line to the graph of g at the point (4, 2). Round your answer to three decimal places. The slope is i (b) Find the equation of this tangent line. Round your answer for y-intercept to the nearest integer. The equation is y = i x+ i (c) If the graph of ƒ contains the point (4, 2), find k. Enter the exact answer. k = (d) Where does the granh of f intersect the tangent line found in part (bl?
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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