(a) Find the slope of the curve y =x- 2x -3 at the point P(3,0) by finding the limit of the secant slopes through point P. (b) Find an equation of the tangent line to the curve at P(3,0). (a) The slope of the curve at P(3,0) is (Simplify your answer.)

(a) Find the slope of the curve y =x- 2x -3 at the point P(3,0) by finding the limit of the secant slopes through point P. (b) Find an equation of the tangent line to the curve at P(3,0). (a) The slope of the curve at P(3,0) 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- 2x -3 at the point P(3,0) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(3,0).
(a) The slope of the curve at P(3,0) is
(Simplify your answer.)

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