Direction: For 1 and 2, find an equation of the tangent line to the graphof the function at the given point (SHOW YOUR COMPLETESOLUTION)1) f(x) =(6x+5)(2x-1)(3x+5)at (0,-1)2. h(x) = (x² + 3) (2x + 1) at (-1,-4)3. Mr. Popoy San Diego wants to know the level of oxygen in his pond tweeks after organic waste is dumped into it. He finds that the oxygen2t³-3t+5level can be modeled by the function f(t) =At what rate is thet²+1oxygen level changing when t = 3 weeks?

Answered: Image /qna-images/answer/bd5b18fe-c97a-463f-8ff2-26ff72cb1c95.jpg

Direction: For 1 and 2, find an equation of the tangent line to the graph of the function at the given point (SHOW YOUR COMPLETE SOLUTION) 1) f(x)= (6x+5)(2x-1) (3x+5) at (0, -1) 2. h(x) = (x²+3)(2x + 1) at (-1,-4)

Direction: For 1 and 2, find an equation of the tangent line to the graph of the function at the given point (SHOW YOUR COMPLETE SOLUTION) 1) f(x)= (6x+5)(2x-1) (3x+5) at (0, -1) 2. h(x) = (x²+3)(2x + 1) at (-1,-4)

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

Chapter6: Rates Of Change

Section6.1: Velocity

Problem 2SBE: Sign of VelocityWhen directed distance is decreasing, is velocity positive or negative? What is the...

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Question

Direction: For 1 and 2, find an equation of the tangent line to the graph
of the function at the given point (SHOW YOUR COMPLETE
SOLUTION)
1) f(x) =
(6x+5)(2x-1)
(3x+5)
at (0,-1)
2. h(x) = (x² + 3) (2x + 1) at (-1,-4)
3. Mr. Popoy San Diego wants to know the level of oxygen in his pond t
weeks after organic waste is dumped into it. He finds that the oxygen
2t³-3t+5
level can be modeled by the function f(t) =
At what rate is the
t²+1
oxygen level changing when t = 3 weeks?

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