To get a good estimate of the value of  we should use a very short interval to calculate the  average rate of change for .

Answer the following statement true (T) or false (F)


True

Mathematics

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Solve the problem.A cylindrical water tank has height 7 m and radius 2 m (see figure). If the tank is full of water, how much work is required to pump the water to the level of the top of the tank and out of the tank? Express the answer in terms of ?. 

A. 240,100 J B. 6,722,800? J C. 960,400? J D. 392,000? J

Mathematics

Find the solution or solutions, if any exist, to the system.

A. infinitely many solutions of the form x = 3z - 2, y = -4z + 4, z = z, w = 0 B. x = -2, y = 4, z = 0, w = 0 C. infinitely many solutions of the form x = - 3z - 2, y = 4z + 4, z = 0, w = w D. inconsistent system, no solution

Mathematics

Provide an appropriate response.Explain why P(n, a) >  , with n and a being positive integers such that n > a.

What will be an ideal response?

Mathematics

Solve.11x - 18 ? 2x + 36

A. x ? 6 B. x ? -6 C. x ? -4 D. x ? 4

Mathematics