Sketch the graph of the equation in the rectangular coordinate system in three dimensions.x2 + y2 = 1
What will be an ideal response?
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An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm, Olivia, and Paul.In how many ways can the first award be presented to Karen and the last to Lyle?
A. 24 B. 360 C. 120 D. 840
Determine if the vertex of the graph is a maximum point or a minimum point.y = -(x + 2)2 - 4
A. Minimum B. Maximum
Indicate whether the graph of the equation is a circle, an ellipse, a hyperbola, or a parabola. Then graph the conic section.x = (y - 2)2 - 6
A. parabola
B. circle
C. hyperbola
D. ellipse
Find the Taylor series for the given function. Give the interval of convergence.f(x) = ln(1 + 2x)
A. 2x - 
x2 + 
x3 - 
x4 + . . . + 
xn+1 + . . . ; 
, 
B. 2x - 
x2 + 
x3 - 
x4 + . . . + 
xn+1 + . . . ; 
, 
C. 2x - 
x2 + 
x3 - 
x4 + . . . + 
xn+1 + . . . ; (-2, 2)
D. -2x - 
x2 + 
x3 - 
x4 + . . . + 
xn + . . . ; (-2, 2)