Find dy/dx by implicit differentiation.x3 + y3 = 5

A.
B. - 
C.
D. - 


Answer: B

Mathematics

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Find the volume under the surface of the specified figure. z = x2 + y2; R = {(x, y): 0 ? x ? 4, -3 ? y ? 1}

A.  
B.  
C.
D.  

Mathematics

Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.

A.

{1,2,3,4,...,n,...}

B.
{1,2,3,4,...,n,...}

C.
{1,2,3,4,...,n,...}

D.
{1,2,3,4,...,n,...}

Mathematics

Match the system of inequalities with the appropriate graph.2x + y ? 4 y - 1 ? 0

A.

B.

C.

D.

Mathematics

Expand the expression using the Binomial Theorem.(x2 + 4y)4

A. x8 + 12x6y + 96x4y2 + 192x2y3 + 256y4 B. x8 + 16x6y + 96x4y2 + 256x2y3 + 256y4 C. x6 + 16x5y +24x4y2 + 16x2y3 + 4y4 D. x6 + 12x5y + 96x4y2 + 192x2y3 + 256y4

Mathematics