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find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r < 0. Then plot the point.
(a) (3, π/2)(r, θ) = ( ) (r > 0)(r, θ) = ( ) (r < 0)(b) (2, -2π/3)(r, θ) = ( )(r > 0)(r, θ) = ( )(r < 0)(c) (-2, π/3)(r, θ) = ( )(r > 0) (r, θ) = ( )(r < 0)
Scores on the GRE (graduate record examination) are normally distributed with a mean of 510 and a standard deviation of 148
Implement the following boolean function with a 4x1 multiplexer and external gates. Connect inputs A and B to the selection lines. The input requirements for the four data lines will be a function of variables C and D.
That is, if they are both used, one at a time, to solve a problem with exactly the same constraints, will the optimal values of X1 and X2 be the same in both cases?
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
How many times does the athlete's heart beat during the first 20 minutes of the workout? Give your answer to the nearest complete heartbeat.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
Find the values of x and y that solve the following system of equations
The group of even permutations of n symbols is denoted by A_n and is called the alternating group of degree n. Show that A_8 contains an element of order 15.
Suppose that a license plate must contain a sequence of two-letters followed by four-digits, or three-letters followed by three-digits.
Probability Based on Random Selection, One box is chosen at random and a drawer is opened from that box. If it contains a gold coin, find the probability that it is in Box I.
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