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A plane flying with a constant speed of 240 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate is the distance from the plane to the radar station increasing a minute later?
Water is pumped out of a holding tank at a rate of 6 - 6e-0.14t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
Find the equation of the line normal to the curve of y= 2 cos (1/2)x, where x=pi. Write the expression using x as a variable. Write the exact answer in terms of pi.
Allen Young has always been proud of his personal investment strategies and has done very well over the past several years. He invests primarily in the stock market.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
Prepare the necessary correcting entries, assuming that Longfellow uses a calendar-year basis - Year-end wages payable of $3,400 were not recorded because the bookkeeper thought that "they were immaterial."
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
What is the correct classification of the system of equations below?
what is the volume in cubic centimeters of a tablet weighing 330mg that has density of 1.40cm ?
Suppose that the reorder costs are now R + Sx, where R is the cost of reording exclusive of shipping cost, and S is the shipping charge per item The cost function is now: C(x)= Hx/2 + D(R+Sx)/x Find the lot size, in terms of D, H, R and S, that wi..
What is the standard error of the sample mean, x? Enter your answer to 2 decimal places.
Compute the p-value for the following hypothesis test for the difference between two means with unknown population variances.
A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end. Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end.
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