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Two poles are set a = 10 feet apart, but the point of attachment P for the rope is yet to be determined. If the total walk is to be 65 feet, determine the distance from P to the ground.
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
Find new estimates using ten rectangles in each case.
Given f(x)=x^3 on [0,1] and the partition P={0,1/8,1/3,2/3,1}, find four different Riemann sums R(f,P). Show that Chi_Q is discontinuous at every point where Chi_Q is the characteristic function for Q - Rational numbers.
Calculating the probability that the player wins in a game of craps. The dice game craps is played as follows. The player throws two die, and if the sum is seven or eleven then she wins. If the sum is two, three, or twelve, then she loses
The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester.
From the concepts in the readings from Week Two, provide at least one real-world application of algebraic concepts as it would apply to one of the following areas: business, health and wellness, science, geometry or other math concepts, or sports.
Calculate the average rate of change.
Compare the functions given below by graphing both functions in several viewing rectangles. For what values of x does the graph of g finally surpass the graph of f ? (Give your answer correct to 1 decimal place.)
A studebts tuition was $4180. A loan was obtained for 4/5 of the tuition. How much was the loan?
Sharon wants her savings to last exactly 25 years. How much money can she withdraw each month?
If the current demand is increasing by 1000 units per year and if the price remains fixed at $350 per unit, how much revenue will the manufacturer receive from the sale of the product over the next 5 years?
Vanilla Box Company is going to make open-topped boxes out of 17 × 16-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
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