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During an (very) early morning Calculus class you briefly shut your eyes, presumably to concentrate even harder on differential equations. When you open them you find that you have been magically transported to a beautiful tropical beach in 85 degree weather. Someone brings you a cold pina colada (initially at 35 degrees). Since you are not of legal drinking age, you (of course) don't drink it but just let it sit there on the beach and warm up. After 15 minutes it has warmed up to 40 degrees; when will it warm up to 50 degrees?
Quiz 6. Use a double integral to find the area of the region of points that lie inside the circle (x - 1)2 + y2 = 1 and outside the circle x2 + y2 = 1
Find the midpoint and length of the line segment PQ where P=(2,-7) and Q=(5,1). We will also use vectors to find the length of the segment.
What is the cross-sectional area of the pipe? Assume that the concentration of methane in the atmosphere is zero.
Find the missing dimension for each three-dimensional figure to the nearest tenth, given the volume and other dimensions.
Solve the Simplification question
Sketch the level curve through P showing level value, and find a vector normal to this curve at P. Find the direction (i.e. a unit vector) along which f increases most rapidly at the point P.
Use the fourth Taylor polynomial at x = 0 to approximate the area under the graph of f(x) = ln(1 + x2), from x = - 1/2 to x= 1/2
The number of kilograms of water in a person's body varies directly as the person's mass. A person with a mass of 90 kg contains 60 kg of water.
Are the following two events equally likely? Event 1 consists of drawing an ace and a king when you draw two cards from among the thirteen spades in a deck of cards and event 2 consists of drawing an ace and a king when you draw two cards from the..
SHIPPING COSTS Acrosonic manufactures a model-G loudspeaker system in plants I and II. The output at plant I is at most 800/month, and the output at plant II.
Given a cancellation rate of 10%, how many seats should the airline sell in order to minimize their expected losses?
Express the following in the polar coordinate form: u(r, theta) + i v(r,theta)
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