Graph the ellipse and locate the foci.
+
= 1
A. foci at (, 0) and (-
, 0)
B. foci at (2, 0) and (-2
, 0)
C. foci at (0, ) and (0, -
)
D. foci at (, 0) and (-
, 0)
Answer: A
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Assuming that the equations define x and y implicitly as differentiable functions
find the slope of the curve
at the given value of t.x(t + 1) - 4t
= 9, 2y + 4y3/2 = t3 + t, t = 0
A. 3
B.
C.
D. 6
Determine whether the statement is true or false.The graph of +
= 1 is an ellipse centered at (1, 2).
A. True B. False
Calculate the flux of the field F across the closed plane curve C.F = x2i + y2j; the curve C is the closed counterclockwise path around the triangle with vertices at (0, 0), (1, 0), and (0, 2)
A. 0
B. 6
C. -
D. 2
Evaluate the line integral along the curve C.ds , C is the curve r(t) = 4ti + (8 cos
t)j + (8 sin
t)k , 0 ? t ?
?
A. +
B. ?
C. ?2 +
D. ?2 +