If the following function is continuous, what is the value of a + b?
f(x) = {3x^2 - 2x +1, if x < 0
a cos(x) + b, if 0 </= x </= pi/3
4sin^2(x), if x > pi/3

A. 0
B. 1
C. 2
D. 3
E. 4

I know that since the function is continuous, it should be equal to 1 at 0 and 3 at pi/3 (To follow the other two pieces of the function). From here, I am having a great deal of difficulty figuring out what coordinates would make the function work in this way. Any help is appreciated.

But you don't need to solve for a and b if only a+b is required. (see second line).

Answer this Question

First Name:

School Subject:

Answer:

Related Questions

Calculus (Continuity) - If the following function is continuous, what is the ...
Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...
Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...
Calculus - Is this the right explanation for this question 1. Examine the ...
Calculus - #6 - If the following function is continuous, then what is the value ...
Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...
Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...
Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...
Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...
Calculus - consider k(t)=(e^t)/(e^t-7) on[-7,7] Is this function continuous on ...