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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Rewrite the equation such that each resulting term or combination is in an integrable form.5 sin(5x - 7y) dx - x dy = y dx + 7 sin(5x - 7y) dy
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.
?
Fill in the blank(s) with the appropriate word(s).