Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of x. Find the derivative with respect to x of the given combination at the given value of x.
g(x + f(x)), x = 3
A. 21
B. -35
C. -5
D. -30
Answer: B
Mathematics
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Write the number as the product of prime factors.42
A. 6 ? 7 B. 2 ? 2 ? 7 C. 3 ? 3 ? 2 D. 2 ? 3 ? 7
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Graph.f(x) = 
x
A. 
B. 
C. 
D. 
Mathematics
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10
xy + 21y2 -144 = 0
A. ? = 30°
+ 
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
B. ? = 36.9°
+ 
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
C. ? = 45°
x'2 = -4
y'
parabola
vertex at (0, 0)
focus at (0, -
)
D. ? = 45°
y'2 = -4
x'
parabola
vertex at (0, 0)
focus at (-
, 0)
Mathematics
Use the graph of the rational function shown to complete the statement.
As x?4+, f(x)? ?
A. 0 B. -? C. 4 D. +?
Mathematics