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Problems 6-10, Consider the function f(x) = a- 16x f(x+h)-f(r) 6. Find and simplify the difference quotient h

Problems 6-10, Consider the function f(x) = a- 16x f(x+h)-f(r) 6. Find and simplify the difference quotient h

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Problems 6-10, Consider the function f(x) = r³ - 16x f(x + h) – f(x) 6. Find and simplify the difference quotient h 7. Use the result of problem 6 to find the slope of the secant line connecting the points on the graph of f(x) with the given x-coordinates. Sketch the graph of each secant line on the given graph of f(x) (a) x = -3 and r = 1 (b) x = -3 and r = 0 (c) a = -3 and r =-1 (d) a = -3 and r = -2 f(r + h)- f(r) 8. Find a formula for the slope of the tangent at any r-value using lim 9. Use the result of problem 8 to find the slope of the tangent line at the point where r = -3. Sketch the graph of this tangent line on the given graph of f(r). 24 16 40 9. CO
Transcribed Image Text:Problems 6-10, Consider the function f(x) = r³ - 16x f(x + h) – f(x) 6. Find and simplify the difference quotient h 7. Use the result of problem 6 to find the slope of the secant line connecting the points on the graph of f(x) with the given x-coordinates. Sketch the graph of each secant line on the given graph of f(x) (a) x = -3 and r = 1 (b) x = -3 and r = 0 (c) a = -3 and r =-1 (d) a = -3 and r = -2 f(r + h)- f(r) 8. Find a formula for the slope of the tangent at any r-value using lim 9. Use the result of problem 8 to find the slope of the tangent line at the point where r = -3. Sketch the graph of this tangent line on the given graph of f(r). 24 16 40 9. CO
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