Construct a truth table for the statement.(~p ? ~q) ? ~(q ? p)
A. 
| T | T | T |
| T | F | T |
| F | T | T |
| F | F | F |
B.
| T | T | T |
| T | F | T |
| F | T | T |
| F | F | T |
C.
| T | T | F |
| T | F | F |
| F | T | F |
| F | F | F |
D.
| T | T | T |
| T | F | F |
| F | T | F |
| F | F | T |
Answer: B
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 0 for r(t) = t2i + (8t3 - 3)j + 
k
A. a(0) = 2i + 
k
B. a(0) = 2i - 
k
C. a(0) = 2i - 
k
D. a(0) = 2i - 
k
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation.r = 6 sin ?
A. 
(x - 3)2 + y2 = 9; circle, radius 3,
center at (3, 0) in rectangular coordinates
B. 
x2 + (y + 3)2 = 9; circle, radius 3,
center at (0, -3) in rectangular coordinates
C. 
x2 + (y - 3)2 = 9; circle, radius 3,
center at (0, 3) in rectangular coordinates
D. 
(x + 3)2 + y2 = 9; circle, radius 3,
center at (-3, 0) in rectangular coordinates
Determine the domain and the range of the function.f(x) = x2 + 12x
A. domain: {x|x ? -6} range: {y|y ? -36} B. domain: all real numbers range: {y|y ? 36} C. domain: {x|x ? 6} range: {y|y ? 36} D. domain: all real numbers range: {y|y ? -36}
Simplify the complex fraction.
A. 
B. 
C. - 
D. 