Write the statement in symbolic form.Let p: The outside humidity is high. q: The basement dehumidifier is running. r: The basement is getting moldy.The outside humidity is high and the basement dehumidifier is running, or the basement is getting moldy.
A. p ? q ? r
B. (p ? q) ? ~ r
C. p ? (q ? r)
D. (p ? q) ? r
Answer: D
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Find the maximum and minimum of the function f over the closed and bounded set S.f(x, y) = (x + y)2; S = {(x, y): +
? 1}
A. f(,
) = f(-
, -
) = 6; maximum. f(x, -x) = 0 for -
? x ? -
; minimum.
B. f(,
) = f(-
, -
) = 6; maximum. f(x, -x) = 0 for -
? x ?
; minimum.
C. f(,
) = 6; maximum. f(-
, -
) = 6; minimum.
D. f(,
) = 6; maximum. f(-
, -
) = -6; minimum.
Compute r''(t).r(t) = (8 cos t)i + (7 sin t)j
A. r''(t) = (8 sin t)i + (7 cos t)j B. r''(t) = (-8 cos t)i + (-7 sin t)j C. r''(t) = (-8 sin t)i + (-7 cos t)j D. r''(t) = (8 cos t)i + (7 sin t)j
Solve the equation involving fractions. = 1 +
A. -2, 4 B. No solution C. 6, 10 D. -12
Solve the problem.In a certain location, the highest temperature recorded was 99°F. The lowest temperature recorded was 125 degrees less than the highest. What was the lowest temperature?
A. 26°F B. -26°F C. -138°F D. 0°F