Calculus Fill in the blanks! Suppose f(x) is a piecewise function:f(x) = x + 3, if x ≤ 2 and f(x) = x 2 , if x > 2. Then f(2)= ——— = ——.And limx→2− f(x)= —————————– = —————————- = =. Similarly, limx→2+ f(x)= —————————– = ————————- = ———————- =—————-. Therefore, limx→2 f(x) —- f(2).

Tori examined the pattern of exponents in the table. based on the pattern, which statements are true? check all that apply.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)

What is the ratio of the change in y-values to the change in x-values for this function? a) 1: 13 b) 2: 5 c) 5: 2 d) 13: 1