Consider the following data: UTM 0.4 0.6 0.8 y 1.63 2.22 3.35 4.79 5.05 1.0 i. Approximate f"(0.8) using 5-points difference formula. A UTM ii. Estimate the f'(0.4) by using 3-points forward difference formula. AUTM TM iii. Is the 3-points forward difference formula appropriate to estimate f'(1.0). State the reason. UTM AUTM U

Q: Find the average value of the function f(x) = from r = 1 to r = 7. Express %3D your answer as a…

A:

Q: Given the following graph, determine: a) The average rate of change between - 5< x<-3 b) The…

A: Determine the values of y at the given x values. Now use the formula to determine the average rate…

Q: Consider the following data: -0.4 -0.2 0.2 0.4 0.6 f(3+x) 1.8762 1.4471 1.3478 2.0113 2.0416 2.7886…

A: Given- Consider the following data: x -0.4 -0.2 0 0.2 0.4 0.6 f3 + x 1.8762 1.4471 1.3478…

Q: Dr. Mary Hugh reported the following in an article pertaining to obesity levels “F (2,50) = 1.113, p…

A: Dr. Mary Hugh reported the following in an article pertaining to obesity levels “F (2,50) = 1.113, p…

Q: b. 1 1.5 2.5 3 h(q) 110 366 1215 4034 13394 Estimate h'(2) using the table above. h'(2)

A: It is required to estimate the derivative from the given table.

Q: 8. What is the rate of decay, r (expressed as a decimal), for data best modeled by the exponentia…

A: Exponential growth curve equation is given by, Y= abx ............(1) Where a= starting value  And…

Q: Use the five-point endpoint formula to approximate f'(0.78) for the table data points. You must show…

A: The five-point endpoint formula to approximate f'(x0)…

Q: 2. Draw a distance (m) vs. time (s) graph below with the following criteria. Explain your reasoning.…

A: We have to draw the distance (m) vs. time (s) graph using the given information. Let the distance at…

Q: 5. Given the following data: 0.0 0.2 0.4 0.6 0.8 -6.12500 -5.89173 -5.64215 -4.91321 -4.28757 (x)f…

A: The solution is given by using Newton's forward and backward difference interpolation formula as…

Q: b) Find the equation of the normal line to the curve y = 1 – x³ at x = -1. Sketch the graph.

A: given:  y=1-x3           1 Differentiating (1) wrt x dydx=-3x2 At x=-1, dydx=-3 Also, At x=-1, from…

Q: Q1/ From the following table of values, find the approximate value of f'(1.5): X 1.2 1.7 1.5 0.4055…

A: Given:- To find: f'(1.5)

Q: Q2: To find the average rate of change over an interval, use all but which of the following? slope…

A: Solution : Ans - (c) is true Change in y / change in x

Q: Let the relative error of x be l1%, compute the relative error of x".

A: We will find out the required value.

Q: Given the following set of discrete data in Table 2. Table 2 0.2 0.3 0.4 0.5 0.6 0.7 f(x) 1.0832…

A: Given: Set of discrete data, To find: f'(0.4) using backward difference.

Q: Find the equation of the normal line to the curve y=1-x³ at x=-1. sketch the graph.

A:

Q: Consider the graph of f shown below. y 8. 7. 6- 4. 3- 24 1. 3 4. 7. 8. Estimate the average rate of…

A: The average rate of change is the rate at which the output (y-values) changes compared to its input…

Q: 2.0 2.6 3.2 3.8 4.4 2. Consider the data in the table. h(x) 2.646 3.082 3.464 3.808 4.123 a. Find…

A: a. Average Rate of Change=f(b)-f(a)b-aso the average rate of change of h(x) on the interval…

Q: A study was carried out to investigate the relationship between the hardness of molded plastic (y,…

A:

Q: Given the following data: x 0.6 0.7 0.8 0.9 1.0 f(x) 5.2293 3.6155 2.7531 2.2717 2 Find the second…

A: Consider the given table. x0.60.70.80.91.0fx5.22933.61552.75312.27172 We have to find the second…

Q: 1. Given the following graph, determine: a) The average rate of change between -5sxs-3 b) The…

A: The average rate of change formula is y2-y1x2-x1

Q: Compute a 4-decimal place value of Log(11.7) from Log(11)=1.041, Log(12)=1.079 using linear Lagrange…

A: Please see the attachment  Log (11.7) = 1.0682 (actual value)  And approximate value = 1.0676  %…