Question

(a) The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the
triangle is increasing at a rate of 2 square centimeters/minute. At what rate is the base of the
triangle changing when the altitude is 7 centimeters and the area is 88 square centimeters?

(b) f(x)=x√x^2+1

defined on the interval −5≤x≤6

f(x) is concave down on the interval x = ___ to x =___

f(x) is concave up on the interval x = ___ to x =___

The inflection point for this function is at x = ___

The minimum for this function occurs at x = ___

The maximum for this function occurs at x = ___

(c) f(x)=12x^5+75x^4−120x^3+3

f(x) has inflection points at (reading from left to right) x = D, E, and F   

where D is ____ and E is ____ and F is ____

Answer 1