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1. Find the direction angles of the vector: 2i-2j-42√k.
2. Find all numbers x for which the angle between c = 3xi + 3j + 3k and d = 3i + 3xj + 3k is π3.3.Find α given that ?αi+(α-1)j+(α+1)k?=5.
4.Find α given that 5i+6j-2k and αi-24j+8k are parallel.
Obtain (generate) a random sample of 180 numbers between 1 and 60. You may use a calculator, excel, or a table of random numbers to achieve this. Use your sample to answer the following questions.
1. show that y2e5x4x is a solution to the differential equation y-5y4-20x2. determine eventual max min and saddle
What is the approximate probability that the blood test will be positive and so at least one person has the disease? Suppose that the blood test yields a positive result.
A certain university has a computer room with 222 terminals. Each day there is a 4% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
The balance at the end of 20 years is 3 times the balance at the end of 10 years. What is the balance in the account at the end of 20 years?
Find the work W required to pump the oil out of the spout. (Use 9.8 for g and 3.14 for . Round your answer to three significant digit
An airplane covrs a distance of 1600 miles in 4 hours when it flies with the wind and 5 1/3 hours when it flies against the wind. What is the speed of the plane in still air?
State the key features (vertex, focus, directrix, direction of opening, and axis of symmetry) of each parabola, and sketch the graph.
you have given everystudent at the party the same chance to be interviewed: whats that chance? why is your sample not an SRS?
The amount of time (in hours) that Sam studied for an exam on each of the last five days is given below. Find the mean study time.
Write the converse of this statement. Is the converse true. Explain. Write the contrapositive of this statement. Is the converse true. Explain.
A particle passes through the point P = (6, 5, -2) at time t = 4, moving with constant velocity v = i - 3j + 6k. Find parametric equations for the motion of the particle.
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