(a) Find the slope m of the tangent to the curve y = 9 + 4x² - 2x³ at the point where x = a. m= (b) Find equations of the tangent lines at the points (1, 11) and (2, 9). y(x) = (at the point (1, 11)) y(x) = (c) Graph the curve and both tangents on a common screen. y -10 O -10 (at the point (2, 9)) -5 15- 10 -10F 20 15 5 5) 10 5 10 5 15 10 X X -10 -5 -10 y 15 10/ -5 5 -5 -10 20 15 10/ 5 -5 5 -10 10 5 15 10 X X

(a) Find the slope m of the tangent to the curve y = 9 + 4x² - 2x³ at the point where x = a. m= (b) Find equations of the tangent lines at the points (1, 11) and (2, 9). y(x) = (at the point (1, 11)) y(x) = (c) Graph the curve and both tangents on a common screen. y -10 O -10 (at the point (2, 9)) -5 15- 10 -10F 20 15 5 5) 10 5 10 5 15 10 X X -10 -5 -10 y 15 10/ -5 5 -5 -10 20 15 10/ 5 -5 5 -10 10 5 15 10 X X

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 1E

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