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- A study is made for particular allergy medication in order to determine the length of relief it provides, y (in hours), in relation to the dosage of medication, x (in mg).For this reason, ten patients were given different doses of the medication and wereasked to report back when the medication seemed to wear off.Use the linear approximation to estimate (3.02)2(3.03)2=? compare with the value given by a calculator and compute percentage error. Error = ?%Verify the given linear approximation at a=0 . Thendetermine the values of x for which the linear approximation isaccurate to within 0.1.
- The owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independentvariable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.37 and the slope is 0.04. If the actual number of labor hours for moving 407 cubic feet is 33.47. What is the error of prediction? Hint: Provide answer accurate to 2 decimal places.The volume VV of a right‑circular cylinder is computed using the values d=3.6 m for the diameter and h=6.7 m for the height. Use the Linear Approximation to estimate the maximum error R in V if each of these values has a possible error of at most 5%.5%. Recall that V=πr^2*h.Given the linear approximation at a=0, determine the smallest value x of such that the linear approximation is accurate to within 0.1.
- where is the graphical estimation method (by hand)Estimate the maximum possible error in the computed value of T. The magnitude of the estimated maximum possible error isfind the value of c guaranteed by the intermediate value theroem (expain why is it guaranteed) original equation is ona separate attachment
- Use a linear approximation to estimate 1/4.002The sides of a base and the hight of a triangular prism are measured and measurementsare known to have errors of at most 0.4 cm. If the sides of the base and the hight are takento be 5 cm, 3 cm and 6 cm, respectively, find the bound for the propagated error in Volumeof the triangular prism.Determine the best (according to sum-of-squares-measure) curve y = Axb, through the dataabove.Transformed equation ln(y) = ln(A) + b ln(x)orY = a + bX.