18.5 Given these dataX1.622.53.244.5f(x)28141582(a) Calculate f(2.8) using Newton's interpolating polynomials oforder 1 through 3. Choose the sequence of the points for yourestimates to attain the best possible accuracy.(b) Utilize Eq. (18.18) to estimate the error for each prediction.18.6 Given these dataX123578f(x)361999291444Calculate f(4) using Newton's interpolating polynomials of order1 through 4. Choose your base points to attain good accuracy. Whatdo your results indicate regarding the order of the polynomial usedto generate the data in the table?18.7 Repeat Prob. 18.6 using Lagrange polynomials of order1 through 3.

Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Answered: 18.5 Given these data 1.6 X 2 2.5 3.2 4…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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The brightness of a television picture tube can be evaluated by measuring the amount ofcurrent required to achieve a particular brightness level. A sample of 10 tubes results in x̅=317.2 and σx̅ = 15.7. Suppose that the design engineer claims that this tube will require atleast 300 microamps of current to produce the desired brightness level. Formulate and test anappropriate hypothesis to confirm this claim using α = 0.05.
The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years.a. If t represents time in years and y represents tooth size, usethe condition that y = 0.99y0 when t = 1000 to find thevalue of k in the equation y = y0ekt. Then use this value of kto answer the following questions.b. In about how many years will human teeth be 90% of theirpresent size?c. What will be our descendants’ tooth size 20,000 years fromnow (as a percentage of our present tooth size)?
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Q9: Assume that a researcher wants to estimate the proportion of “A” grade scorers in STAT101 course for the population of SEU students in 2020. Assume also that the proportion of “A” grade scorers in 2020 is not known. How many SEU students must be surveyed from STAT101 course in order to be 90% confident and the margin of error should not exceed two percentage points? (Given zα/2 = 1.64). 1- 1821 2- 1781 3- 1618 4- 1681
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