I was accepted to a math honors program for the summer (I'm currently a sophomore) and need help compiling a succinct-yet-effective list of materials/concepts to review for the placement exam, which...

A plane flying horizontally at an altitude of 3 mi and a speed of 560 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when...

write a piecewise function C that specifies the total cost for x backpacks sold.   how much would 130 backpacks cost? how much would 151 backpacks cost?

if F(x)=∫0x (t-1)/(t2+9)dt, then which of the following statements are true? I. function F has a minimum value at x=1 II. function F has increase on the (1,∞) III. F’’(x) is negative...

(a) Let f(x),g(y) be continuous functions deﬁned for a ≤ x ≤ b, c ≤ y ≤ d, resepctively. Let h(x,y) = f(x)g(y). Let R = {(x,y) : a ≤ x ≤ b,c ≤ y ≤ d}. Show that ∫R h(x,y)dA =(∫ab f(x)dx)(∫cd...

1. Sketch each region and use a double integral to find its area: The region inside both the cardioid r=1-cosθ and the circle r=1 2. Find the following average values The...

Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation. \$ 625p^2 - x^2...

The demand function for a certain make of ink-jet cartridge is the following where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p =...