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1. Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y=6x²- -3; P(2,21) (a) The slope of the curve at P(2,21) is (Type an integer or a decimal.) 2 (b) The equation of the line tangent to y = 6x² -3 at P(2,21) is y= (Simplify your answer. Do not factor.)

1. Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y=6x²- -3; P(2,21) (a) The slope of the curve at P(2,21) is (Type an integer or a decimal.) 2 (b) The equation of the line tangent to y = 6x² -3 at P(2,21) is y= (Simplify your answer. Do not factor.)

Calculus: Early Transcendentals
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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1. Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y = 6x² -3; P(2,21) (a) The slope of the curve at P(2,21) is (Type an integer or a decimal.) 2 (b) The equation of the line tangent to y = 6x² -3 at P(2,21) is y= (Simplify your answer. Do not factor.) 2. For the function g(x) graphed here, find the following limits or state that they do not exist. a. lim g(x) X-5 -8 -6 -4 b. lim g(x) c. lim g(x) d. lim g(x) X→-4 x-0 X-0.4 -2 -2 O O --4- -6 X a. What is lim g(x)? Choose the x--5 if necessary, fill in the answer box O A. B. lim g(x)= x→-5 lim g(x) does not exist X--5 b. What is lim g(x)? Choose X--4 if necessary, fill in the answer OA. B. lim g(x)= x--4 lim g(x) does not e x--4 c. What is lim g(x)? Choose
Transcribed Image Text:1. Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y = 6x² -3; P(2,21) (a) The slope of the curve at P(2,21) is (Type an integer or a decimal.) 2 (b) The equation of the line tangent to y = 6x² -3 at P(2,21) is y= (Simplify your answer. Do not factor.) 2. For the function g(x) graphed here, find the following limits or state that they do not exist. a. lim g(x) X-5 -8 -6 -4 b. lim g(x) c. lim g(x) d. lim g(x) X→-4 x-0 X-0.4 -2 -2 O O --4- -6 X a. What is lim g(x)? Choose the x--5 if necessary, fill in the answer box O A. B. lim g(x)= x→-5 lim g(x) does not exist X--5 b. What is lim g(x)? Choose X--4 if necessary, fill in the answer OA. B. lim g(x)= x--4 lim g(x) does not e x--4 c. What is lim g(x)? Choose
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