Find the angle between v and w. Round to one decimal place, if necessary.v = 2i + j - 2k and w = i + 3j - 3k
A. 55.6°
B. 57.3°
C. 32.7°
D. 67.3°
Answer: C
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Find the indicated root of the given equation by using Newton's method.2x5 - 3x2 - 7x + 1 = 0 (all real roots)
A. 1.5290785, 0.1350531, -1.2048938 B. 1.5290763, 0.1350528, -1.2048988 C. 1.5290785 D. 1.5290763, -1.2048988
Consider only the discriminant, b2 - 4ac, to determine whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exist.x2 + 3x + 7 = 0
A. Two different real-number solutions B. Two different imaginary-number solutions C. One real solution
Solve the problem.The power P (in W) generated by a particular windmill is given by 
where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is 
A. 17.2 W/mph B. 0.6 W/mph C. 7.7 W/mph D. 67.4 W/mph
Write as the sum and/or difference of logarithms. Express powers as factors.ln 
4/5, x > 9
A. 
ln (x2 + 16x - 63) - 
ln (x - 1)
B. ln (x + 7) + ln (x - 9) + ln 4 - 16ln (x - 1) - ln 5
C. 4ln (x + 7) - 5ln (x - 9) - 
ln (x - 1)
D. 
ln (x + 7) + 
ln (x - 9) - 
ln (x - 1)