For the differential equation, find the particular solution if  when .

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A.
B. ?
C. ?
D. ?
E. ?


Answer: B

Mathematics

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Solve.Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 40 mph with a surface area of 37 ft2 experiences a drag of 192.4 N (Newtons), how fast must a car with 40 ft2 of surface area travel in order to experience a drag force of 291.2 N?

A. 61 mph B. 56 mph C. 58 mph D. 53 mph

Mathematics

Find the curve y = f(x) in the xy-plane that has the given properties. = 24x and the graph of y passes through the point (0, 9) and has a horizontal tangent there.

A. y = 4x3 - 9 B. y = 4x3 + 9 C. y = 12x3 + 9 D. y = 12x2 + 9

Mathematics

The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.What is the magnitude of an earthquake whose seismographic reading is 7.6 millimeters at a distance of 100 kilometers from its epicenter?Round the answer to four decimal places.

A. 0.20281 B. 0.38808 C. 2.0281 D. 3.8808

Mathematics

Simplify.

A. 2
B. 12
C. 8
D. 6

Mathematics