4x2-За+2 x<3 5 x= 3 a) Find the values of 'a' and 'b' that makes f(x)= continuous at x= 3 8 6+x+ - x>3 b) Find the equation of the normal to the curve 2x2– 3y = (x- 3)²y at x= 3 c) Verify that the function f(x)=/9-x² defined over the interval [-3, 3] satisfies the conditions of Rolle's theorem.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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4x2-За +2
x<3
x= 3
a) Find the values of 'a' and 'b' that makes f(x) =
continuous at x =3
8
6+x+-
b
x> 3
b) Find the equation of the normal to the curve 2x2 - 3y= (x-3)²y at x= 3
c) Verify that the function f(x)=V9-x? defined over the interval [-3, 3] satisfies the conditions of Rolle's theorem.
Transcribed Image Text:4x2-За +2 x<3 x= 3 a) Find the values of 'a' and 'b' that makes f(x) = continuous at x =3 8 6+x+- b x> 3 b) Find the equation of the normal to the curve 2x2 - 3y= (x-3)²y at x= 3 c) Verify that the function f(x)=V9-x? defined over the interval [-3, 3] satisfies the conditions of Rolle's theorem.
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