Determine the vertex, focus, and directrix of the parabola and sketch its graph.(y + 4)2 = 12(x - 2)
A. vertex: (-2, 4)
focus: (1, 4)
directrix: x = -5
B. vertex: (-4, 2)
focus: (-1, 2)
directrix: x = -7
C. vertex: (2, -4)
focus: (-1, -4)
directrix: x = 5
D. vertex: (2, -4)
focus: (5, -4)
directrix: x = -1
Answer: D
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A. [5 sin(5x - 7y) dx - 7 sin(5x - 7y) dy] + (y dx - x dy) = 0 B. [5 sin(5x - 7y) dx - x dy]- [7 sin(5x - 7y) dy + y dx] = 0 C. [5 sin(5x - 7y) dx + 7 sin(5x - 7y) dy] - (x dy + y dx) = 0 D. [5 sin(5x - 7y) dx - 7 sin(5x - 7y) dy] - (x dy + y dx) = 0
Sketch the logarithmic function.f(x) = -ln (x)
A.
B.
C.
D.
Use dimensional analysis to answer the question. Which length is longer? 2.9 meters or 104.4 inches
A. They are the same length. B. 104.4 inches C. 2.9 meters
Find the area of the region under the given curve over the indicated interval.
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Fill in the blank(s) with the appropriate word(s).