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Rewrite the following Riemann sum as a definite integral, where P represents a partition of the interval [0,5]. Sketch a figure whose area is represented by the integral, and use a geometric formula to evaluate the interval.
lim n
||P|| -> 0 SIGMA sqrt(25 - ci2) * delta xi i=1
The mid points of its sides are joined to form anothertriangle whose mid points, in turn, are joined to form another triangle. Find the sum of the (i) perimeters of all the triangles (ii) areas of all the triangles.
two cars leave a city and head the same direction. after 6 hours, the faster car is 48 miles ahead of the slower car. the slower car has traveled 252 miled. find the speeds of the two cars.
The relevant tax rate is 34 percent. All cash flows occur at the end of the year. What is the equivalent annual cost (EAC) of this equipment?
How many satellite radios of each model should be produced each day to maximize Soundex's profit? What is the maximum profit?
Given f(x) = 0.1 for 10 ≤x≤20. The mean of the distribution is 15 and the standard deviation is 2.89. Find the probability that x falls between 12 and 15.
Metric space has infinitely many distinct connected components - Is it possible (X,d) compact ? if yes ,give an example if no provide proof?
Wilson's Auto, Inc., has 37 employees and a weekly payroll of $10,878. If each employee makes the same amount, how much does each make?
After two hours Cody finally caught up. What was Susan's average speed?
Use K-maps to find a minimal expansion as a Boolean sum of Boolean products of Boolean functions that have as input the binary code for each decimal digit and produce as output a 1 if and only if the digit corresponding to the input is
An apartment building has seven elevators. Each elevator stops on at most six floors. You can get to any one flooor from any other floor without changing elevators (if you take the right elevator). What is the largest number of floors that buildin..
Solve the given equation 3x+5y=7 2x-5y=8
Draw some planar graphs with at least three faces and experiment to see if you can find a numerical relationship among v, the number of vertices, e, the number of edges, and f the number of faces. Check your relationship on the graph in Figure 6.3..
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