Evaluate the integral by making the given substitution.


Mathematics

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Simplify the following expression. ? ?

A. (x + y)2?
B. (x + y)
C. (x + y)
D. (x + y)3
E. (x + y)2

Mathematics

Write the set by listing its elements.{x|x is a natural number less than 12}

A. {0, 1, . . . , 9, 10, 11} B. {1, . . . , 7, 9, 11} C. {1, . . . , 9, 10, 11} D. {1, . . . , 9, 10, 11, 12}

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.xy +16 = 0

A. ? = 45°
y'2 = -32x'
parabola
vertex at (0, 0)
focus at (-8, 0)
B. ? = 36.9°
 +  = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
C. ? = 45°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is y'-axis
vertices at (0, ±4)
D. ? = 45°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)

Mathematics

Solve the system of equations.

A. (-4, 0), (4, 0) B. (-5, 0), (5, 0) C. (0, 5), (0, -5) D. No solution

Mathematics