a) Find the values of 'a' and 'b' that makes 4x2+- a. Xく-2 f(x)= 3 X=-2 continuous at x=-2 4. 5-x+ b X>-2 b) Find the equation of the normal to the curve y(x+1)° = x²+2y at x= -1 c) Verify that the function f(x)=V 25-x² defined over the interval [-5, 5] satisfies the conditions of Rolle's theorem.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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a) Find the values of 'a' and 'b' that makes
4x2
a
-2
X<-2
f(x)=
3
X=-2
continuous at x =-2
4
5-x+
X>-2
b) Find the equation of the normal to the curve y(x+1)° =x²+2y
at x = -1
c) Verify that the function f(x)=V 25-x² defined over the
interval [-5, 5] satisfies the conditions of Rolle's theorem.
<p>Write all the answers in A4 size paper. Make sure to write your
name and ID in all the pages. All handwritten answers must be
unleaded as a cinale DDE file at the ond oft
t9
144
Transcribed Image Text:a) Find the values of 'a' and 'b' that makes 4x2 a -2 X<-2 f(x)= 3 X=-2 continuous at x =-2 4 5-x+ X>-2 b) Find the equation of the normal to the curve y(x+1)° =x²+2y at x = -1 c) Verify that the function f(x)=V 25-x² defined over the interval [-5, 5] satisfies the conditions of Rolle's theorem. <p>Write all the answers in A4 size paper. Make sure to write your name and ID in all the pages. All handwritten answers must be unleaded as a cinale DDE file at the ond oft t9 144
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