One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$ .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.Which of the following is a good estimate of the elevation after 7.5 horizontal miles.(You do not know the shape of the path explicitly after 7 miles!)
A)381 feet
B)394.5 feet
C)408 feet
D)421.5 feet

Question

Quizplus · Accepted Answer

The Answer of One fine day you take a hike up a mountain path.Using your trusty map you have determined that the path is approximately in the shape of the curve $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$ .Here y is the elevation in feet above sea level and x is the horizontal distance in miles you have traveled, but your map only shows the path for 7 miles, horizontal distance.Which of the following is a good estimate of the elevation after 7.5 horizontal miles.(You do not know the shape of the path explicitly after 7 miles!)
A)381 feet
B)394.5 feet
C)408 feet
D)421.5 feet

One Fine Day You Take a Hike Up a Mountain y=3(x3−12x2+48x+36)y=3\left(x^{3}-12 x^{2}+48 x+36\right)y=3(x3−12x2+48x+36)

One Fine Day You Take a Hike Up a Mountain $y=3\left(x^{3}-12 x^{2}+48 x+36\right)$