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Consider the surface described by the equation z = x3 - zy + 3y2
i. Find the equation of the tangent plane to the surface at the point (3, -1, 15).
ii. Using the differentials (or linear approximation) evaluate the approximate value of z on the surface when x = 3.01 and y = -1.01.
Find the distance.
For the function below, find a) the critical numbers, b) the open intervals where the function is increasing, and c) the open intervals where the function is decreasing.
John is intending to put $10,000 into investment. He picked a fund that grows at 5% per annum. Assuming his profit is compounded annually, how much money would he have from this investment after 5 years and how long would it take for his money to ..
Two sizes of Jam 14 ounces for $1.29 or 32 ounces for $2.99. Which is the better buy? The price of bread increased $1.39 to $1.49. To the nearest tenth of a percent what is the increase?
Compute and plot the total gravity effect of the 5 cylinders by summing their effects at each observation point on the profile. What is the mean value and standard deviation of the total gravity effect. What is the utility of these ..
A triangle with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
Among 459 randomly selected light bulbs tested in a laboratory, 291 lasted more than 500 hours. Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.
Find an equation in point-normal form for the plane described by the equation 2x-3y+z=6
Give all solutions between o degree and 360 degree for sin x=3/2
What would be the value of expressing something like the national debt in scientific notation? What information would be lost in such a usage? Is that important? Explain why or why not.
Suppose you experiment with two different shoes and two different balls to determine the best combination for scoring the highest in bowling.
Write the word form of the numbers whose ones period is 381, hundreds period is 350, thousands period is 109 and millions period is 826.
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