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1. Find the vertices, foci, and asymptotes of the hyperbola 2y2 - 3x2 - 4y +12x + 8 = 0; also sketch the graph
2. Find the equation of an ellipse with foci (±1, 2) and major axis 6.
determine the depreciation for each of the first two years (a) by the straight-line method and (b) by the double-declining-balance method.
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
A balloon is rising at a rate of 2 ft/sec. When the balloon is 148 ft above the ground a bike is moving at a rate of 20 ft/sec under it. How fast is the distance between the bike and balloon increasing 6 seconds later?
How many functions are there from a k-element set K to a set N = {y1, y2, . . . yn} so that each yi is the image of ji elements of K?)
Gandalf knows that Sauron's power can be modeled with the equation P(x) = -x2 - 50x + 10,00. Find out the (time) rate of increase in Sauron's power when the Fellowship is 75 miles from Mt. Doom.
question mario is constructing a square dart board. it will consist of a smaller square centered in a larger square.
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-1, 2) and the second going from (-1, 2) to (-2, 0)
The circumference of a sphere was measured to be 74.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area?
The length x and width y of a rectangle are measured as 27 cm and 28 cm, respectively. Estimate the maximum error ΔA in the calculated area A = xy of the rectangle.
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
Consider a particle moving in a circle at a fixed radius R from the origin. Determine the normal and tangential components of the acceleration vector a→ for the two cases below.
The supplier is somewhat unreliable, and Davidson-Harley management likes to use a safety factory of 0.3 or 30%. Given this information, determine the number of kanbans required. Show details of your analysis.
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