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1. A baseball manager has decided who his 5 starting hitters are to be, but not the order in which they will bat. How many possibilities are there?
2. Susan has a fondness for chocolate desserts, in particular, pudding, pie, ice cream, éclairs, and cookies. Her preference is for ice cream over pie and cookies, éclairs over ice cream and cookies, cookies over pudding and pie, and pudding over éclairs, with no other preferences. Draw a directed graph to represent this situation.
3. Individual membership fees at the Evengreen Tennis Club were $50 in 1970 and have increased by $3 per year since then. Write a recurrence relation and initial conditions for Mn, the membership fee n years after 1970.
Let I be an ideal of R and let S be a subring of R. prove that I(intersection)S is an ideal of S. ALSO, show by some example that not every ideal of a subring S of a ring R
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
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.
Find the slope of the line that passes through the points (3, -5) and (-4, -6). Find the equation in slope-intercept form, of the line that passes through the points (3, 6) and (-7, -3); write equation in slope-intercept form.
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Trigonometric function to estimate the exact value.
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum.
Upstream, downstream: Junior's boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9 miles upstream, then what is the speed of the current?
Find the surface integral (double integral over S) E dot dS, where S is the cylinder, x^2 + y^2 = 4, z is greater than or equal to 2 and less than or equal to 5, and the vector field F is F(x, y, z) = (0, 0, z^2)
Dividing a complex number with another number.
Determine the least squares regression line
An observer to a rocket launch was 1800 feet from takeoff position. The observer found the angle of elevation of the rocket as a function of time to be theta=3t/(2t+5).
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