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1. Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at x = c.
f(x) =9 / √x, c =1.
2 A solid is generated by revolving the region bounded by the following about the y-axis.
y= x2 / 8
y = 8
3. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. (Round your answer to three decimal places.)
Probability Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities of
Let me tell you a little dirty secret about the mutual dislike between mathematicians and physicists. It can escalate into a full blown war if diplomacy is not attempted properly.
describe how multiplication and division of rational expressions can be done. Provide examples to support your explanation.
Based on a random sample of 16 customer transactions, the mean waiting time is 6.3 minutes and the standard deviation is 2 minutes per customer. What is the value of the test statistic we would use to test Ho?
A 292 foot television cable is to be cut into four pieces. Find the length of each piece if each successive piece is 2 feet longer than the previous one.
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?
Martin just finished working on a job in which he spent 7 hours on Monday doing prep-work and 8.5 hours on Wednesday painting. How much money does John owe him?
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
If the distance from point A to point B is greater than the distance from point B to Miami, then how far is it from point A to point B?
The length of the red line segment is 13, and the length of the blue line segment is 6. How long is the transverse axis?
The marketing research department for a company that manufactures and sells "notebook" computers established the following price-demand and revenue functions.
What is the mean and standard deviation of the number of account errors each month? Approximate the probability of fewer than 350 errors occur in a month.
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