Evaluate the derivative of the given function at the given point.y6 + x3 = y2 + 11x; (0, 1)
A. - 
B. 
C. 
D. 
Answer: D
Mathematics
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Vertices at (0, 8) and (0, -8); asymptotes y = 2x and y = - 2x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Mathematics
Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the curve 
and the x-axis.
A. 
B. 
C. 
D. 6
Mathematics
Find the first four nonzero terms in the Maclaurin series for the function.sin x cos x
A. x - 
x3 + 
x5 - 
x7 + . . .
B. x - 
x3 + 
x5 - 
x7+ . . .
C. 1 + x - 
x2 - 
x3 + . . .
D. x + 
x3 - 
x5 + 
x7 + . . .
Mathematics
The function f is one-to-one. Find its inverse.f(x) = x3 - 2
A. f-1(x) = 
B. f-1(x) = 
- 2
C. f-1(x) = 
+ 2
D. f-1(x) = 
Mathematics