Parametrize the surface S.S is the cap cut from the paraboloid z =  - 3x2 - 3y2 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.Find the APR of a bond that doubles its value in 10 years. Round your answer to the nearest hundredth of a percent.

A. 5% B. 10% C. 7.5% D. 15% E. 12.5%

Mathematics

Answer the question.For the equation  = - , would any potential solutions have to be rejected? Explain.

What will be an ideal response?

Mathematics

Perform the specified translation.The graph on the left is a sketch of the step function. Note that an open circle indicates that the point is not included in the graph.  Sketch a new graph of the step function by performing a horizontal shift of the graph 2 units to the right.

A.

B.

C.

D.

Mathematics

Find the second-order partial derivative.Find fyx when f(x, y) = ln.

A.
B.  
C.  
D.  

Mathematics