Select the graph of the equation.
?

?
A. ?
B. ?
C. ?
D. ?
E. ?
Answer: A
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Evaluate the improper integral or state that it is divergent.
A. -19 B. 38 C. Divergent D. 19
Solve the problem.The roof of a building is in the shape of the hyperbola where x and y are in meters. Refer to the figure and determine the height h of the outside walls.
a = b = 4 m
A. 9.1 m B. 83 m C. 63 m D. 67 m
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + 2xy + y2 - 8x + 8y = 0
A. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)
B. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
C. ? = 36.9° +
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
D. ? = 36.9° +
= 1
ellipse
center (0, 0)
major axis is x'-axis
vertices at (±2, 0)
Solve the problem.Find the dimensions of a rectangle whose perimeter is 36 feet and whose area is 80 square feet.
A. 7 feet by 9 feet B. 7 feet by 11 feet C. 9 feet by 9 feet D. 8 feet by 10 feet