Solve the equation. Check your solution.(12n + 4) = 3 + 6n

A.
B.
C.
D.


Answer: C

Mathematics

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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the .y = x2, y = 25, x = 0

A. 625?
B. ?
C. 3750?
D. 2500?

Mathematics

A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number  such that for all x, 0 <  < ? ?  < ?.f(x) = 10x + 1, L = 11, x0 = 1, and ? = 0.01

A. 0.002 B. 0.01 C. 0.001 D. 0.005

Mathematics

Evaluate the integral.

A. 9xex - 9ex + C B. 9ex - ex + C C. 9ex - 9xex + C D. xex - 9ex + C

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10xy + 21y2 -144 = 0

A. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
B. ? = 36.9°
 +  = 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
C. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)
D. ? = 30°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)

Mathematics