Follow the steps below to answer the following question: For what values a and b is the line 2x + y = b tangent to the curve y = ax² at the point with x = -2? (A) Use the limit process, as we did in class, to find the slope of the tangent line to y = ax? when x = -2. (Your answer will contain an a.) The slope of the tangent line to y = ax? whenx = -2 is (B) What is the slope of the line 2x + y = b? The slope of this line is (C) In order for the line 2x + y = b to be tangent to the curve y = ax? at x = -2, we need for the slope of the tangent line to y = ax? at x = -2 to be the same as the slope of the line 2x + y = b. Thus in comparing (A) and (B), we find that a = (D) Lastly, in order for the line 2x + y = b to be tangent to the curve y = ax² at x = -2, the graphs of 2x + y = b and y = ax? must have the same y- coordinate at x = -2. Comparing the y-coordinates of the two graphs tells us that b =

Follow the steps below to answer the following question: For what values a and b is the line 2x + y = b tangent to the curve y = ax² at the point with x = -2? (A) Use the limit process, as we did in class, to find the slope of the tangent line to y = ax? when x = -2. (Your answer will contain an a.) The slope of the tangent line to y = ax? whenx = -2 is (B) What is the slope of the line 2x + y = b? The slope of this line is (C) In order for the line 2x + y = b to be tangent to the curve y = ax? at x = -2, we need for the slope of the tangent line to y = ax? at x = -2 to be the same as the slope of the line 2x + y = b. Thus in comparing (A) and (B), we find that a = (D) Lastly, in order for the line 2x + y = b to be tangent to the curve y = ax² at x = -2, the graphs of 2x + y = b and y = ax? must have the same y- coordinate at x = -2. Comparing the y-coordinates of the two graphs tells us that b =

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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