Given f(3)=0,g(3)=5,f'(3)=−7,g'(3)=−19 Answer the questions below:a) k(x)=4f(x)−3g(x)k'(3)= b) k(x)=f(x)g(x)k'(3)= c) k(x)=f(x)/g(x)k'(3)= Given f(3) = 0, g(3) = 5, f'(3)- 7, g'(3)- 19. Answer the questions below:a) k(x) = 4f(x) – 3g(x)k'(3) =b) k(x) = f(x)g(x)k'(3)f(x)c) k(x) =g(x)k'(3) =

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Answered: Given f(3)=0,g(3)=5,f'(3)=−7,g'(3)=−19…

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Given f(3)=0,g(3)=5,f'(3)=−7,g'(3)=−19 Answer the questions below: a) k(x)=4f(x)−3g(x) k'(3)= b) k(x)=f(x)g(x) k'(3)=

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Given f(3)=0,g(3)=5,f'(3)=−7,g'(3)=−19 Answer the questions below:

a) k(x)=4f(x)−3g(x)
k'(3)=

b) k(x)=f(x)g(x)
k'(3)=

c) k(x)=f(x)/g(x)
k'(3)=

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