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For What Value of a Is the Function f(t)={ta,10<t3t2+10t,3<t<10f ( t ) = \left\{ \begin{array} { c } t - a , \quad - 10 < t \leq 3 \\t ^ { 2 } + 10 t , \quad 3 < t < 10\end{array} \right.

Question 81

Multiple Choice

For what value of a is the function f(t) ={ta,10<t3t2+10t,3<t<10f ( t ) = \left\{ \begin{array} { c } t - a , \quad - 10 < t \leq 3 \\t ^ { 2 } + 10 t , \quad 3 < t < 10\end{array} \right. continuous?


A) 10
B) -36
C) 30
D) -18

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