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Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produced by your calculator.
y = In(2 + x3), 0 ≤ x ≤ 5.
Find the arc length function for the curve y=2x3/2 with starting point p0(9, 54).
Determine the form of a particular solution for the differential equation. ( Do not evaluate coefficients).
If a line y=3x+6 is tangent to the circle x^2+y^2=9 at point (k,k+1) then find value of k?
powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?
The length l and width w .... are increasing at a rate of 4 ft/min while its height h is decreasing a rate of 8 ft/min. find the rate at which the surface area of the box is increasing when l=6, w=h=3 feet
Determine the best decision, using the following decision criteria.
Find the area, in square units, of the region determined by the intersections of y = x^1/2 and y = x^2/8.
A motorboat can maintain a constant speed of 43 miles per hour relatuve to the water. The boat makes a trip upstream to a certain point in 52 minures; the return trip takes 34 minutes. What is the speed of the current?
Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
1. The data summary used to calculate the p-value in order to decide between the null hypothesis and the alternative hypothesis is called a
find the domain of the function and express the answer in interval notation. explain in words or show the
Lauren plans to deposit $3000 into a bank account at the beginning of next month and $250/month into the same account at the end of that month and at the end of each subsequent month for the next 7 yr.
How fast is the area of the rectangle increasing when its dimensions are 12 cm by 8 cm?
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