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Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
The gross annual earnings of a certain company A(t)= 0.1t^(2)+10t+ 20 thousand dollars t years after its formation in 2004. At which percentage rate were the gross annual earnings growing with respect to time in 2008?
A projectile is launched upward with a velocity of 96 feet per second from the top of a 90 foot stage. What is the max height attained by the projectile?
Assume that the average annual salary for a worker in the United States is $28,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,250. Find the following
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
A small city park is shaped like a right triangle with a height length of 211 feet and a base length of 327 feet. What is the area of the city park?
What is the minimum number of digits the student must obtain from a random number table for each observation if it rained on two-fifths of the days over the past several years
If you have 609 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
f(x)= the square root of x^2+1 and [0,4] . Use the midpoint rule with 4 rectangles to approximate the area bounded by f(x) and the x axis.
Use the Theorem of Pappus to find the volume of the solid obtained by rotating the triangle with vertices (5, 4), (5, 8), and (11, 6) about the x-axis.
What happens to the value obtained for the slope if the coordinates of the two ordered pairs aren't subtracted in the same order?
A sphere of radius 1 is covered in ink and rolled around between concentric spheres of radii 3 and 5. If this process traces a region of area 1 on the larger sphere, what is the area of the region traced on the smaller sphere?
What is the probability that the mean of a random sample of size n = 4 of tire lifetimes will be less than 20,000 miles?
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