pls help with the last one Consider the function below.f(x) = -5x2 + 20x + 1Exercise (a)Find the critical numbers of f.Step 1Differentiate f(x) =-5x2 + 20x + 1 with respect to x.f'(x) =SubmitSkip (you cannot come back)Exercise (b)Find the open intervals on which the function is increasing or decreasing.Step 1Previously we found that f '(x) = -10x + 20 and that the critical number is x = 2.The table below summarizes the testing of the two intervals determined by the critical number.Interval-00 < x < 22 < x < 0Test valueX = 0X = 3Sign of f'(x)f'(0)> 0f'(3)ConclusionIncreasingIncreasingDecreasingDecreasingStep 2Therefore, we conclude that the intervals on which the function is increasing and decreasing are as follows.(Enter your answer using interval notation. If an answer does not exist, enter DNE.)increasingdecreasingSubmitSkip (you cannot come back)

Name: pls help with the last one Consider the function below.f(x) = -5x2 + 2
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Description: pls help with the last one Consider the function below.f(x) = -5x2 + 20x + 1Exercise (a)Find the critical numbers of f.Step 1Differentiate f(x) =-5x2 + 20x + 1 with respect to x.f'(x) =SubmitSkip (you cannot come back)Exercise (b)Find the open interv

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Answered: pls help with the last one

Math

Calculus

pls help with the last one

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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