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1. Use differentiation to approximate the maximum error in using 5 cm as the radius of a sphere to calculate its volume if the measurement is off by at most 8 mm. Find the approximation of both the relative and percentage error for the volume.
2. Suppose that fluid is leaking from an overhead pipe and spreading in the shape of a circle on the ground. If the radius of the circle is increasing at a rate of 0.5 feet per minute, how fast is the area of the circle increasing when the radius is 4 feet?
If the local professional basket ball team, the sneakers, wins today's game, they have a 2/3 chance of winning their next game. If they lose this game, they have 1/2 chance of winning their next game.
1. let tn be the nth chebyshev polynomialtnx cosn cos-1x xisin2 -1 1 n 0 1......show that the polynomials dened
question 1 the area of an isosceles trapezoid in 246 square meter. if the height and the length of one of its congruent
Jim is able to sell a hand carved statue for $670 which was a 35% profit over cost. How much did the statue originally cost him?
Sketching the graph of Cosecant function and identifying its asymptotes
Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05.
the following question is based around the three trigonometric identitiescos2x sinx 1 1 tan2x sec2x 1 cot2x
A baseball diamond is square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
What is the fastest rate that the secret spreads? Show your justification. Determine the Maximum number of people that will hear the rumor according to this model.
The United States Senate Appropriations Committee consists of 29 members, 15 Republicans and 14 Democrats. The Defense Sub COmittee consists of 19 members, 10 republicans, 9 democrats. How many different ways can the members of the defense sub commit..
Suppose p3 represents the proportion of patients who showed improvement after one month of therapy three times a week and p2 represents the proportion of patients who showed improvement after one month of therapy twice a week. A 95% confidence int..
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