Parametrize the surface S.S is the cap cut from the paraboloid z =  - 6x2 - 6y2 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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Find the payment necessary to amortize the loan using the amortization table. Round to the nearest cent.Marge and Tom Martin bought a new car for $30,000. They agreed to pay 25% down and make monthly payments for 4 years at 10% (compounded monthly) to pay off the rest.

A. $2,273.43 B. $726.01 C. $760.80 D. $570.60

Mathematics

Solve the equation.4(2x - 3) = 7(x + 2)

A. 26 B. 6 C. 2 D. -2

Mathematics

Provide an appropriate response.f(x) = axThe graph of an exponential function with base a is given. Sketch the graph of g(x) = -ax. Give the domain and range of g.

What will be an ideal response?

Mathematics

Factor completely.x3 - 343

A. (x - 7)(x2 + 49) B. (x - 7)(x2 + 7x + 49) C. (x + 7)(x2 - 7x + 49) D. (x + 343)(x2 - 1)

Mathematics