Let f(x) = x³+6x²+6x and let c be the number that satisfies the mean value theorem for f on the interval [-6,0].find the mean value theorem.

c = 0 or c = -4

Step-by-step explanation:

According to the Mean Value Theorem

By taking the first derivative of f

Since

We can solve for c

c = 0 or c = -4

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: