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In an AC power system, suppose that we pass 10,000 Amps of current through a circuit with a voltage drop of 1,000 Volts. How much electric power do we have passing through the circuit?
Suppose that you know that a golfer plays the first hole of a golf course with an infinite number of holes and that if this golfer plays one hole, then the golfer goes on to play the next hole. Prove that this golfer plays every hole on the course..
Using the concept of dependent probabilities, determine the odds that you would draw these hands (card combinations) directly from a deck of cards
A function has an instantaneous rate of change of 0 at x=3. Explain how w=you would determine if it was a local minimum, maximum or neither without creating.
Use the method cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about x-axis
The radius of a circular disk is given as 30 cm with a maximum error in measurement of 04 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
The rocket is tracked through a telescope by an observer located 11 km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off.
The demand D for apples in the US as a function of income r for the period 1927 to 1941 was estimated as D = Ar1.23, where A is a constant.
Joe wishes to repay the loan by amortizing it through monthly payments over 15 years at the same interest rate. Find the size of the monthly payments.
Debate if "failing to reject the null" is the same as "accepting the null." Support your position with examples of acceptance or rejection of the null. Next, give your opinion on whether or not a failed t test "proves" the null hypothesis.
A particle moving along the x-axis has potential energy at the point x given by V (x). The potential energy has a minimum at x = 0.
Let G be a connected graph. Show that if T is a spanning tree of G constructed using depth-first search, then an edge of G not in T must be a back edge.
Find the following: the projectile's velocity, the speed of the projectile, the unit tangent vector to the curve, the unit normal vector to the curve, the binormal vector.
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