Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = x^7, [0, 7]

GIVEN: The given function is f(x)= on the interval [0,7]

To FIND: Here we need to find the value of c by the help of Mean value theorem.

SOLUTION: The mean value theorem is,

where, f(x) is defined on a closed interval [0,7] and continuous on the closed [0,7] and derivable on (0,7) and a<c<b,

So,

By the mean value theorem we have,

Therefore, the required value of c is 5.077

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743