Parametrize the surface S.S is the cap cut from the paraboloid z =  - 9x2 - 9y2 by the cone z = .

What will be an ideal response?


Answers will vary. One possibility is r = r cos ?i + r sin ?j + k , 0 ? r ? 

Mathematics

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Solve the problem.The following data represents the average percent of possible sunshine for a certain city in Indiana. Draw a scatter diagram of the data for one period. Find the sinusoidal function of the form  that fits the data. Draw the sinusoidal function on the scatter diagram. Use a graphing utility to find the sinusoidal function of best fit. Draw the sinusoidal function of best fit on the scatter diagram.

What will be an ideal response?

Mathematics

Solve and graph the solution set on a number line.|x - 2| - 1 ? 2

A. (-?, -1) ? (5, ?)

B. (-?, -1] ? [5, ?)

C. ?
D. [-1, 5]

Mathematics

Solve the inequality and graph. Express your answer in interval notation.-29 ? -4x - 1 ? -13

A. (-7, -3)

B. [3, 7]

C. [-7, -3]

D. (3, 7)

Mathematics

Solve using a system of two equations in two unknowns.The manager of a bulk foods establishment sells a trail mix for $7 per pound and premium cashews for $15 per pound. The manager wishes to make a 120-pound  mixture that will sell for $9 per pound. How many pounds of each should be used?

A. 60 lb of trail mix, 60 lb of cashews B. 75 lb of trail mix, 45 lb of cashews C. 90 lb of trail mix, 30 lb of cashews D. 30 lb of trail mix, 90 lb of cashews

Mathematics