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Question: The mass of a cube in grams is M = x3 + 0.1x4, where x is the length of one side in centimeters. If the length is increasing at a rate of 0.02 cm/hr, at what rate is the mass of the cube increasing when its length is 5 cm?
Find the regression coefficients.
Van Gogh's painting Starry Night measures 92 cm long by 73 cm high. You buy a poster that shows an enlargement of the painting. The poster measures 120 cm long by 100 cm high. Is the poster an accurate representation of the painting?Hint: Is the p..
Evaluate the following integral x sin 3xdx
He pays $2,430 in yearly state taxes. What is the state income tax rate for his state?
When a rocket is 2 kilometers high, it is moving vertically upward at a speed of 300 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the laun..
a) Find the number of permutations of the letters in the word DIPLOMA. b) How many ways are there of arranging the letters of DIPLOMA so that the letters O and I are together?
The median income is approximately linear and is a function of time. Find a formula for the median income, I, as a function of the year t, where t is the number of years since 1900. Source: U.S Census Bureau.
If an object is thrown straight up into the air with an initial velocity of 128 feet per second, then its height above the ground at any time t is given by the formula h = 128t - 16t2.
question a supermarket sells 2 cans of ground coffee for 18.50. the cost of coffee varies directly with the number of
Spread of a flu epidemic initially, 10 students at a junior high school contracted influenza. The flu spread over time, and the total number of students.
Is there a point at which your investment appears to grow more quickly? What can you conclude about the affect of time on your retirement plans?
Show that if n is odd then the set of all n-cycles consists of two conjugacy classes of equal size in An. Let G be a transitive permutation group on the finite set A with |A|>1. Show that there is some g in G such that g(a) is not equal to a for al..
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