Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: The outside humidity is high.q: The basement dehumidifier is running.r: The basement is getting moldy.If the outside humidity is high, then the basement dehumidifier is running or the basement is not getting moldy.
A. p ? (q ? ~ r)
B. p ? (q ? ~ r)
C. p ? (q ? r)
D. p ? (q ? ~ r)
Answer: A
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Evaluate the line integral of f(x,y) along the curve C.f(x, y) = y + x, C: x2 + y2 = 1 in the first quadrant from (1, 0) to (0, 1)
A. 4 B. 1 C. 2 D. 0
Solve the initial value problem for x as a function of t.(t2 + 4t)
= 4x + 12, x(1) = 1
A. x = 
- 3
B. x = 20t + ln 
- 3
C. x = 
- 3
D. x = 20 ln
- 3
Evaluate the integral.
A. 
y2 cos 2y - 
y sin 2y - 
cos 2y + C
B. - 
y2 cos 2y + 
y sin 2y + 
cos 2y + C
C. - 
y2 sin 2y + 
y cos 2y + 
sin 2y + C
D. - 
y2 cos 2y + 1y sin 2y + 1 cos 2y + C
Solve the system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to express the solution set.
A. no solution; ? B. {(8, 0)} C. {(-8, -1)} D. {(9, 8)}