Solve the problem.The barometric pressure p at an altitude of h miles above sea level satisfies the differential equation   If the pressure at sea level is 29.92 inches of mercury, find the barometric pressure at 16,000 ft.

A. 8.16 in.
B. 16.32 in.
C. 1.22 in.
D. 54.85 in.


Answer: B

Mathematics

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Find fx, fy, and fz.f(x ,y, z) = sin (xy) cos (yz2)

A. fx = y cos (xy) cos (yz2); fy = z2 sin (xy) sin (yz2)- x cos (xy) cos (yz2); fz = 2yz sin (xy) sin (yz2) B. fx = y cos (xy) cos (yz2); fy = x cos (xy) cos (yz2) - z2 sin (xy) sin (yz2); fz = -2yz sin (xy) sin (yz2) C. fx = y cos (xy) cos (yz2); fy = x cos (xy) cos (yz2); fz = -2yz sin (xy) sin (yz2) D. fx = y cos (xy) cos (yz2); fy = x cos (xy) cos (yz2) - z2 sin (xy) sin (yz2); fz = 2yz sin (xy) sin (yz2)

Mathematics

Determine how many components the graph has.

A. 6 B. 5 C. 7 D. 2

Mathematics

Indicate whether the statement is a simple or a compound statement. If it is a compound statement, indicate whether it is a negation, conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.It is false that whales are fish and bats are birds.

A. Compound; biconditional; ? B. Compound; negation; ~ C. Compound; disjunction; ? D. Compound; conjunction; ?

Mathematics

Solve the problem.Consider the quadratic model h(t) = -16t2 + 40t + 50 for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

A. maximum height = 50 ft; time to reach ground = 2.5 seconds B. maximum height = 75 ft; time to reach ground = 2.5 seconds C. maximum height = 75 ft; time to reach ground = 1.25 seconds D. maximum height = 50 ft; time to reach ground = 1.25 seconds

Mathematics