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Question
Determine the constant “a” and “k” that will make f(x) continuous.
....{2, x<(-1)
f(x){ax+k, -1<=x<1
....{8x^3, x>=1
please ignore the dots.
Thanks for your help.
Equating left and right limits at x = -1 , we must have
2 = -a + k
Equating left and right limits at x = 1 , we must have
a + k = 8
Solve these two equations in a and k .
-a + k = 2
a + k = 8
Add the two equations
2k = 10
k = 5
Then substitute k=5 into either equation and get a = 3
The answer is a=3 , k=5
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I can answer questions from the standard four semester Calculus sequence. I am not prepared for questions on Tensor Calculus. Everything else is welcome. Derivatives, partial derivatives, ordinary differential equations, single and multiple integrals, change of variable, vector integration (Green`s Theorem, Stokes, and Gauss) and applications.
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