1.If a function f(x)f(x)f(x) defined byf(x)={aebx,−1≤x≤1cx2,1≤x≤3ax2+2cx,3<x<4f(x) = \begin{cases} a e^{bx}, & -1 \le x \le 1 \\ c x^2, & 1 \le x \le 3 \\ a x^2 + 2c x, & 3 < x < 4 \end{cases}f(x)=⎩⎨⎧aebx,cx2,ax2+2cx,−1≤x≤11≤x≤33<x<4is continuous for some a,b,c∈Ra, b, c \in \mathbb{R}a,b,c∈R and f′(0)+f′(2)=ef'(0) + f'(2) = ef′(0)+f′(2)=e, then the value of aaa is:Login to continueOnly logged in users canattempt or see the solution.
