Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the comparison property to find the lower and upper bounds for i = \displaystyle \int_{-2}^{2} f(x) \, dxi = ∫ − 2 2 f ( x ) d x.

has critical points where the derivative is 0:

The second derivative is

and , which indicates a local minimum at with a value of .

At the endpoints of [-2, 2], we have and , so that has an absolute minimum of and an absolute maximum of on [-2, 2].

So we have

the answer is 16ft

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation: