Find the value of the constant c such that the vector field G(x,y,x) = (6x+2y³+8z)i + (6x³ + 2y + 4z)j + (cz-x)k is the curl of some vector field F.
What will be an ideal response?
–8
Mathematics
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Solve for x using an equivalent exponential expression.A gelatin mold is in the shape of a hemisphere (half-sphere). If its diameter is 2 inches, find the exact volume of gelatin that 
will hold.
A. 24? cu in.
B. 
? cu in.
C. 16? cu in.
D. 32? cu in.
Mathematics
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Mathematics
Provide an appropriate response.When the numerator is the same as the denominator, for example 
, the fraction is called a(n) 
fraction.
A. whole B. proper C. uncommon D. improper
Mathematics
Differentiate.f(x) = (5x3 + 6)(5x7 - 4)
A. 250x9 + 210x6 - 60x B. 250x9 + 210x6 - 60x2 C. 20x9 + 210x6 - 60x D. 20x9 + 210x6 - 60x2
Mathematics