Solve the equation. Check your solution.
(12n + 4) = 3 + 6n
A.
B.
C.
D.
Answer: C
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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?
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
Evaluate the integral.
A. 9xex - 9ex + C B. 9ex - ex + C C. 9ex - 9xex + C D. xex - 9ex + C
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)