Solve the problem.Prove that if v and u are differentiable functions of t, then 
What will be an ideal response?
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A school board has determined that there should be 3 teachers for every 60 students. How many teachers are needed for an enrollment of 3,180 students?
A. 134 teachers B. 170 teachers C. 159 teachers D. 175 teachers E. 216 teachers
Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 1Density: ? = 
A. Iz = 
?
B. Iz = 
?
C. Iz = 16?
D. Iz = 2?
Divide. Write the answer in lowest terms and as a whole or mixed number where possible.
A. 
B. 
C. 1
D. 
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb 
A. logbx + logby2 + logbz7 B. logbx + 2logby + 7logbz C. logbx + 2logby - 7logbz D. logbx + logby2 - logbz7