Refer to the circle graph to solve the problem.Time Required to Install Carpeting in a House (Work Shift = 8 hours) 
What fraction of the work shift was spent laying the padding and installing new carpet?
A. 
B. 
C. 
D. 
Answer: D
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Compute the gradient of the function at the given point.
A. ?f = - 
i - 
j
B. ?f = - 
i + 
j
C. ?f = - 
i + 
j
D. ?f = - 
i - 
j
Find the gradient field of the function.f(x, y, z) = z sin (x + y + z)
A. ?f = -cos xi - cos yj + (sin z - z cos z)k B. ?f = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k C. ?f = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k D. ?f = cos xi + cos yj + (sin z + z cos z)k
Solve the differential equation.x
= 
- 6y, x > 0
A. y = x6(sin x + C), x > 0 B. y = x6(cos x + C), x > 0 C. y = x-6(sin x + C), x > 0 D. y = x-6(cos x + C), x > 0
Solve the problem.An experienced bank auditor can check a bank's deposits twice as fast as a new auditor. Working together it takes the auditors 4 hours to do the job. How long would it take the experienced auditor working alone?
A. 12 hr B. 8 hr C. 4 hr D. 6 hr