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Suppose that a drop of mist is a perfect sphere and that, through condensation, the drop picks up moisture at a rate proportional to its surface area. Show that under these circumstances the drop's radius increases at a constant rate.
Write down the equation of the plane tangent to the surface z = f(x, y) = y3x1/2 above a general point (a, b). Find the differential of the function f(x, y) = e-x^2+1 at, the point (1, 4).
Classic Furniture Concepts has determined that when x hundred wooden chairs are built, the average cost per chair is given by C(x) = 0.1x2 0.7x + 1.625, where C(x) is in hundreds of dollars. How many chairs should be built in order to minimize the..
justin had $33 dollars before spending n dollars on jeans. How much money remains?
Find whether the given expression is a function or not - Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions.
A researcher wants to predict graduate-school grade point average (GPA) from GRE verbal scores (which is what the pesky GRE is supposed to do, anyway!). She gathers data on fifty graduate students. Below are the data "high points":
Compute the expected return and standard deviation for a portfolio formed between M and your choice in part (b). Then compute the weighted-average standard deviation of this portfolio and explain why the portfolio’s actual standard deviation is less ..
Problem 1: Given that f (x) = 5x - 7 and g (x) = 5 - x2, calculate
Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one.
Selena left a 15% tip for a meal. The tip was $8.40. What was the cost of the meal before the tip?
an open box with no lid has a square base and four sides of equal height. the height is 2 greater than the length and
A coin tossed 40 time. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 26 tosses. What is the probability of being correct 28 or more times by guessing?
It is estimated that y , the number of items of a particular commodity (in millions)sold in the united States in year x represents the number of years since 1990 , is given the formula y=1.38x+3.49.
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