Find an equation of the parabola described and state the two points that define the latus rectum.Focus at (0, 3); directrix the line y = -3
A. y2 = 16x; latus rectum: (7, 8) and (-7, 8)
B. x2 = 12y; latus rectum: (3, 6) and (-3, 6)
C. x2 = 16y; latus rectum: (8, 3) and (-8, 3)
D. x2 = 12y; latus rectum: (6, 3) and (-6, 3)
Answer: D
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Find the work done by F over the curve in the direction of increasing t.F = -5xi + 8x2y5j + (-3z + 9y2)k ; the path is where C1 is the straight line from
to
C2 is the straight line from (1, 0, 0) to (1, 1, 0), and C3 is the straight line from (1, 1, 0) to (1, 1, 1)
A. W = -
B. W =
C. W =
D. W = -
9 c? AUse one of the inverse trig functions csc-1 or sec-1 to express angle A in terms of c.
A. A = sec-1
B. A = sec-1
C. A = csc-1
D. A = csc-1
Solve.4(3x + 3) - 12 = 8x + 4
A. 4 B. 16 C. -1 D. 1
Simplify.
A.
B.
C. 4x - 8y2
D.