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represents an estimate of the average cost of gas for year x starting in 1997 ("Consumer price index," 2006). The year 1997 would be represented by x = 1, for example, because it is the first year in the study. Similarly, 2005 would be year 9, or x = 9.
a. What year would be represented by x = 4?
b. What x-value represents the year 2018?
c. What is the slope, or rate of change, of this equation?
a parabolic satellite dish is formed by rotating the curve y=ax^2 about the y-axis. if the dish has a 10 foot diameter and a maximum depth of 2 feet, find a and then find the surface area of the dish.
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
aml distribution, 2.25% of the area lies to the left of 42 and 2.25% of the area lies to the right of 48. Find the mean and standard deviation.
The bucket is filled with 36 lb of water and is pulled up at a rate of 4 ft/sec, but water leaks out of the bucket at a rate of 0.6 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
estimate the area under the graph of f(x) = cosx from x=0 to x = bi/2 using four approximating rectangles and right end point. Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate?
the length of a pool is 22 ft. the width is 40 ft. if the volume of the pool is 2,000 ft3, which equation below could be used to find the depth of the pool?
A rectangular garden is going to be fenced in as shown below to enclose 112ft squared. if the outside fence costs $3 per foot and the interior costs $1 per foot, what are the dimensions that minimize cost.
How many permutations are there of 12 objects taken five at a time? How is this answer related to answers in 1 and 2?
What is the maximum height attained by the projectile? Show some work
carolyn and kim are selling lemonade this summer. it cost .10 to make each cup of lemonade.they are going to sell each cup of lemonade for .25. what is the least number of cups of lemonade they need to collect $10 more than they spent?
Multiple choice questions based on regression
A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle. There are 650 feet of fencing available to complete the job. What is the largest possible total area of the five ..
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