Round off the approximate number as indicated.0.9999 3 significant digits
A. 1.00
B. 0.999
C. 1.0
D. 1
Answer: A
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Find all the first order partial derivatives for the following function.f(x ,y, z) = (sin xy)(cos yz2)
A. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (z2 sin xy)(sin yz2) - (x cos xy)(cos yz2); fz(x, y) = 2(yz sin xy)(sin yz2) B. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = -2(yz sin xy)(sin yz2) C. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2); fz(x, y) = -2(yz sin xy)(sin yz2) D. fx(x, y) = (y cos xy)(cos yz2); fy(x, y) = (x cos xy)(cos yz2) - (z2 sin xy)(sin yz2); fz(x, y) = 2(yz sin xy)(sin yz2)
Use the method of undetermined coefficients to solve the differential equation.y'' - 6y' + 13y = 2e-4x
A. y = e3x(C1 cos 2x + C2 sin 2x) + 
e-4x
B. y = C1e3x + C2e2x + 
e-4x
C. y = e3x(C1 cos 2x + C2 sin 2x) + 
e-4x
D. y = C1 cos 3x + C2 sin 2x + 
e-4x
Solve the problem.A heart attack victim is given a blood vessel dilator to increase the radii of the blood vessels. After receiving the dilator, the radii of the affected blood vessels increase at about 2% per minute. According to Poiseulle's law, the volume of blood flowing through a vessel and the radius of the vessel are related by the formula V = kr4 where k is a constant. What will be the percentage rate of increase in the blood flow after the dilator is given?
A. 8%/min B. 10%/min C. 12%/min D. 6%/min
Write the decimal number in words.0.5332
A. five thousand three hundred thirty-two ten-thousandths B. five thousand three hundred thirty-two thousandths C. five thousand three hundred thirty-two hundredths D. five thousand three hundred thirty-two hundred-thousandths