Parametrize the surface S.S is the portion of the paraboloid z = 2x2 + 2y2 that lies between z = 3 and z = 7

What will be an ideal response?


Answers will vary. One possibility is r = r cos ?i + r sin ?j + 2r2k ,  ? r ? 

Mathematics

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Find  and .f(x, y) = 

A.  = -  = - 
B.  = -  = - 
C.  =  = 
D.  = -  = - 

Mathematics

Simplify.-(y - 3z)

A. -y + 3z B. y - 3z C. -y - 3z  D. y + 3z

Mathematics

Write the equation of the line using the information given about its graph.Slope - , y-intercept 

A. y = - x - 
B. y = - x + 
C. y = x - 
D. y = x + 

Mathematics

Solve the problem.On a gambling trip to Las Vegas, Anthony doubled his bet each time he won. If his first winning bet was $3 and he won six consecutive bets, find how much he won on the sixth bet. Find the total amount he won on these six bets.

A. $96; $189 B. $48; $93 C. $192; $381 D. $192; $189

Mathematics