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Question: (a) Find k such that Nul A is a subspace of Rk, and (b) find k such that Col A is a subspace of Rk.
The tank is half filled with water. Find the work required to pump the water out of a hole in the top of the tank to a distance of 1m above the tank.
A student graduated from a 4-year college with an outstanding loan of $9650 where the average debt is $8455 with a standard deviation of $1865.
$100,000 is invested in a 6.5% interest-bearing certificate compounded semi-annually. Find the amount of money in the account at 0, 4, 8 and 10 years.
Your company plans to transport 20 horses to a racetrack in Denver. It takes 12 hours to drive from Phoenix to Denver. You have to stop and feed the horses every 2 hours.
State the placement of the horizontal asymptote and y-intercept after the transformation -
The circumference of a sphere was measured to be 89000 cm with a possible error of 050000 cm. Use linear approximation to estimate the maximum error in the calculated surface area.
Set up the double integral in polar coordinates that calculates the volume of the given solid. Do not evaluate the integral. Below the paraboloid z = 8 - 2x2 - 2y2 and above the xy-plane.
Find the net cash flow vector. Using your answers to (a) and (b), compute 1V and 2V. Explain briefly why your answers to (c) are negative.
Problem on correlation coefficient
Suppose Motorola wishes to estimate the mean talk time for its V505 camera phone before the battery must be recharged. In a random sample of 50 phones, the sample mean talk time was 347 minutes.
For John's ordering policy to be correct, what would the carrying cost as a percentage of the unit cost have to be? If the carrying cost were 10% of the cost, what would the optimal order quantity be?
A pollster wants to determine the difference between the proportions of high-income voters and low-income voters who support a decrease in the capital gains tax. If the answer must be known to within 0.2 at the 95% confidence level and the sample ..
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