08/11/22

Real Analysis - Open Ball
Show that U = {(x, y) ∈ Rn : x2 + 4y2 < 4} is open by explicitly finding a ball around each point which is contained in U.
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02/07/19

Perform the operation and simplify such that:

Find a,b,c
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02/06/19

Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3. He rewrote the expression as 16 + (–9) + (–12) + 22.
Juan can use the associative and commutative properties to rewrite the expression again. Explain why he had to use the additive inverse before he could use these properties.
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09/02/15

How do determine the differential equation that governs this situation, and solve it?
a) On January 1 2000, the park estimated that they had 500 deer on their land. Two years later, they estimated that there were 550 deer on the land. Assume that the number of deer was changing... more
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08/22/15

A cylindrical water tower 10 ft in diameter and 40 ft in height has its center 100 ft above the ground.
 A pump on the ground fills the tank with water whose density is 62.4 lb/ft3.   How much work is done in filling the tank half way? a. 35.2 million ft-lb b. 15.7 million ft-lb c. 8.8 million... more
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08/05/15

. Prove that the total integral of curvature with respect to arclength is the same for every such curve: integral 0 to L (?dl) = 2p.
Consider a simple, smooth (so that it has a well-defined tangent vectorat every point), closed planar curve of total length L. Prove that the total integralof curvature with respect to arclength is... more
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