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Let f(x,y) = √(x2 + y2 - 9).
a. What is the domain of this function? Sketch the domain as a region in the xy plane.
b. Write parametric equations for the intersection of this function with the function g(x, y) = x + y.
c. Give the equations of the traces of this function [f{x, y), that is] in the xy, xz, and yz planes, and sketch the traces.
d. Find fx(x, y)and fy(x, y).
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There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
Find the slope of the curve at the given x-value. Give a decimal answer rounded to 3 decimal places.
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A grapefruit is tossed straight up with an initial velocity of 27 ft/sec. The grapefruit is 3 feet above the ground when it is released. Its height at time t is given by y=-16(t^2)+27t+3. How high does it go before returning to the ground?
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prove the sine cosine and tangent sum formulas for all real values and derive special applications of the sum formulas
the faculty senate at a large university wanted to know what proportion of the students thought a foreign language
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