Consider the function y a) Find the slope of the place.) m = b) Find the value(s) for rounded answer from pa

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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7 7
[
Consider the function y
tan
on the interval
4'
4
a) Find the slope of the secant line on this interval. (Round your answer to the nearest thousandth
place.)
m =
b) Find the value(s) for c that satisfy the Mean Value Theorem on the given interval. (Use your
rounded answer from part a, and round the answer(s) to the nearest thousandth.)
c =
Transcribed Image Text:7 7 [ Consider the function y tan on the interval 4' 4 a) Find the slope of the secant line on this interval. (Round your answer to the nearest thousandth place.) m = b) Find the value(s) for c that satisfy the Mean Value Theorem on the given interval. (Use your rounded answer from part a, and round the answer(s) to the nearest thousandth.) c =
Expert Solution
Step 1

The function is given y=tanπ4x on the interval -74,74 .

a The slope of the secant line on the interval -74,74 .

At x1=-74 ,

y1=tanπ4×-74=tan-7π16=-5.027

 

Step 2

At x2=74 ,

y2=tanπ4×74=tan7π16=5.027

The slope of the secant line m ,is 

m=y2-y1x2-x1m=5.027--5.0271.75--1.75m=10.0543.5m=2.87

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