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Value of c in Rolle's theorem for x(x + 3)e^(-x/2) on [-3, 0]

The same question, asked 2 times: 21 Apr 2025 S1, 20 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    21 Apr 2025 S1

    132
    If the function f(x)=x(x+3)e−x2f(x) =x(x+ 3)e^{-\frac{x}{2}} satisfies all the conditions of Rolle's theorem in [−3,0]\lbrack - 3,0\rbrack, then c is

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  2. Question 2

    20 Apr 2026 S2

    77
    The function f(x)=x(x+3)e−(12)xf(x) = x(x + 3)e^{-\left(\frac{1}{2}\right)x} satisfies all the conditions of Rolle's theorem in [−3,0][-3, 0], then c=c =

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