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Prove that the upper sum U(f, P) for a partition of [a, b] and a bounded function f on [a, b] is the least upper bound of the set of all Riemann sums for f and P.
From a base elevation of 8300 feet, a mountain in colorado rise to summit elevation of 14, 869 ft over a horizontal distance of 15,842 ft. Find the grade of the peak.
manufacturer of mp3 players is preparing to set the price on a new model.demand is thought to depend on the price and
Suppose you purchase a set of living room furntiure for $1700. You pay 20% down and sign a contract to repay the balance in 18 equal monthly payments. The finance charge on the balance is 7% simple interest. Estimate the annual percentage rate (AP..
Only two pupils take all the four subjects. Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
the hights in inches of six trees in a nursery were 67,58,60,70,73, and 65. find the standard deviation and round your answer to two decimal places.
Carmela opened her piggy bank and found she had $15.30. If she had only nickels, dimes, quarters, and half-dollars and an equal number of coins of each kind, how many coins in all did she have?
Over the last ?fty years, mortgage rates have ?uctuated from a high of around $18 1/2 % in the early 1980s to a low of around $4 1/2 % last fall. What would the monthly payments be on a thirty-year $100,000 mortgage at each rate? What would the to..
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
Find the point on the graph of y= e^x at which the curvature is the greatest. Write the equation for the surface generated by revolving the curve x^2 - 2y^2 = 1 about the y-axis. Describe the surface
What is the largest possible total area of the three pens? Note: The answer to this problem requires that you enter the correct.
Determine the boundary values of the 95 percent confidence band for the regression line when Xh = 28. Is your-confidence band wider at this point than the confidence interval in part (a)? Should it be?
The base of a rectangle lies on the -axis, while the upper two vertices lie on the parabola . Suppose that the coordinates of the upper right vertex of the rectangle are . Express the area of the rectangle as a function of .
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