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1) Consider the curve
x = t4 - 2t, y = t + t4.
(a) Graph the curve using a computational software package.
(b) Use your graph to estimate the coordinates of the lowest point and the leftmost point on the curve.
(c) Find the exact coordinates of your points from (b).
A researcher wishes to estimate the mean number of miles on 3-year-old Chevy Cavaliers.
angle of elevation to the top of the tree to be 53°. What is the height of the tree? Round your answer to the nearest foot.
A fence is to be built to enclose a rectangular area of 250 square feet. The fence along three sides is to be made of material that costs 5$ per foot, and the material for the fourth side costs 14 dollars per foot.
a vehicle of mass 2000kg accelerates up an incline of 1 in 12 sine increasing its speed from 15kmh to 55kmh whilst
What kind of graph will not let you calculate range? Is it a bar graph, circle graph, line graph, or pictograph?
A 9kg mass on a slope which is at an angle of 15 degrees is attached via a an inextensible string over a fixed, frictionless pulley to a 5kg mass.
A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction 85 degree. Because of bad weather, it returns to another airport 230 km due north of its home base.
The surface area of this pyramid is 189cm squared.The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Find the total amount of interest that Eric and Pamela will pay over the 30 years of the mortgage.
A roof rises 7.25 ft over a horizontal distance of 16.62 ft. What is the slope of the roof to the nearest hundredth?
A poll of 60 students found that 37% were in favor of raising tution to build a new math building. The standard deviation of this poll is 5%. What would be the standard deviation if the sample size were increased from 60 to 253?
A survey of 50 students found that on average they drink 2.3 beers a night with a standard deviation of 0.7. Calculate a 99% confidence interval for the population mean.
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