Answer to Question #762 in Calculus for vic

Question #762
Determine the values of c∈R so as to make the following function continuous on R.

f(x)= {c(x^2) + 2x, x < 2
{x^3 - cx x ≥ 2
1
Expert's answer
2010-10-12T10:39:04-0400
If the function meets the continuity conditions at some point, it should exist in this point and its limits from both sides should be equal to each other.
lim_(x->2(-)) = C(2^2)+2*2 = 4C+4; x<2
lim (x->2(+)) = 2^3 - C*2 = 8-2C; x ≥ 2
4C+4 = 8-2C;
6C = -4;
C = -2/3;

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS