Find the equation of the ellipse satisfying the given conditions. The center is at the origin.The sum of distances from (x, y) to (4, 0) and (-4, 0) is 10.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: A

Mathematics

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Find all the first order partial derivatives for the following function.f(x, y) = (6x3y5 - 4)2

A. fx(x, y) = 18x2y5; fy(x, y) = 30x3y4 B. fx(x, y) = 60x3y4(6x3y5 - 4); fy(x, y) = 36x2y5(6x3y5 - 4) C. fx(x, y) = 36x2y5(6x3y5 - 4); fy(x, y) = 60x3y4(6x3y5 - 4) D. fx(x, y) = 2(6x3y5 - 4); fy(x, y) = 2(6x3y5 - 4)

Mathematics

Solve for the specified variable. +  = c for b

A. ac - 
B.  
C.  - a
D.  

Mathematics

Determine whether the sentence is a statement.3 + 4 = 6

A. not a statement B. statement

Mathematics

Provide an appropriate response.If money earns interest at an annual rate of 8% compounded continuously, then the value (in dollars) of $10,000 due at the end of five years is

A. 10,000e0.4
B. 10,000e-0.4
C. 10,000(1.08)-5
D. 10,000(1.08)5
E.

Mathematics