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Use strong mathematical induction to prove the existence part of the unique factorization of integers (Theorem 4.3.5): Every integer greater than 1 is either a prime number or a product of prime numbers.
How many times does the graph of a quadratic equation (a parabola) cross the x-axis? I know that the graph of a quadratic equation should cross the x-axis 2 times, because the polynomial equation of second degree should have two roots, however if ..
what common trait do the othe numbers share?
A rancher has 400 feet of fencing and wants to build a corral that's divided into three equal rectangles. What length and width will maximize the area?
Create an indicator variable for identical twin.
Let f and g be the functions given by f(x) = 1 + sin(2x) and g(x) = e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g.
rent-a-car inc. provides daily auto rental services to individuals while their own cars are being repaired. annual
For each linear model, discuss the meaning of the slope and y intercept. Using your most preferred linear model, predict sales for the next four weeks. Provide backup computation.
Statistics - Probability, A professional chef's work responsibilities include creating new dishes, shopping for ingredients and cooking the meals. On Friday, Justin, a professional chef, spent 2 hours shopping for ingredients
cursion boat is proportional to the cube of its speed and is $40 per hour when the speed is 10 mph. Expenses are $270 per hour. Find the most economical speed at which to make a trip of any specified distance.
A patio is to be built in the shape of a rectangle. The length is to be 5 feet shorter than 3 times the width. The perimeter of the patio is 190 feet. What will be the dimensions of the patio?
Consider an annuity-immediate with monthly payments for twenty years. The payments are level in the course of each year, then increase by 2% for the next year. Find the present value of this annuity if the initial payment is $1, 000 and i = 4%.
a printing press has a roller 22 inches in diameter. A point on the roller's surface moves at a speed of 109 feet per second. What is the roller's angular speed?
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