(a) Find the slope of the curve y = x - 4x -5 at the point P(3, - 8) by finding the limit of the secant slopes through point P. (b) Find an equation of the tangent line to the curve at P(3, -8). (a) The slope of the curve at P(3, -8) is (Simplify your answer.)

(a) Find the slope of the curve y = x - 4x -5 at the point P(3, - 8) by finding the limit of the secant slopes through point P. (b) Find an equation of the tangent line to the curve at P(3, -8). (a) The slope of the curve at P(3, -8) is (Simplify your answer.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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(a) Find the slope of the curve y = x - 4x - 5 at the point P(3, - 8) by finding the limit of the secant
slopes through point P.
(b) Find an equation of the tangent line to the curve at P(3, - 8).
--..
(a) The slope of the curve at P(3, - 8) is
(Simplify your answer.)
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