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The eccentricity e of an ellipse is defined as the number c/a, where a and c are the numbers in the defining equation. Because a>c ,it follows that c<1. Describe the shape of an ellipse where a) e is close to 0
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
A church steeple casts a shadow 115 ft long, at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple?
The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees. Show that the area of the triangle is given by A = 1/2s^2 sin Z
asna works on a shipping dock at a tire manufacturing plant. she loads a pallet with 4 mudslinger tires and 6
suppose that the points a and b are two vertices of a square. find the two other vertices in all possible cases.
if a ball is thrown vertically upward at 30 m/s, then its approximate height in meters t seconds later is give by (h)t= 30t - 5t^2.
Give a formula for the annual inventory control costs, C, as a function of the maximum storage size, s. (This would only be valid for the first five years.)
A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours.
the area of an equilateral triangle is decreasing at a rate of 4 cm^2/min. Find the rate at which the length of a side is changing when the area of the triangle is 200 cm."
Write an equation that represents the outside edge of the exercise ring. The equation of the outside edge of the racetrack is . Sketch the outside edge of the racetrack on the graph.
Let gamma be a closed rectifiable curve in C (Complex plane) and a is not an element of {gamma}. Show that for n>= 2 integral over gamma of (z-a)^-n dz = 0.
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