Find the value of y’(2) and y”(2) from the following table : x 1.5 1.6 1.7 1.8 1.9 2.0 y 0.3328 0.5312 0.7651 1.0384 1.3552 1.7198

We have to find the first and second derivative values from the given data.

Answered: Find the value of y’(2) and y”(2) from…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a) Consider the following data: 0.4 0.6 0.8 1.0 1.2 y 1.63 2.22 3.35 4.79 | 5.05 i. Approximate f'(0.8) using 5-points difference formula. ii. Estimate the f (0.4) by using 3-points forward difference formula. iii. Is the 3-points forward difference formula appropriate to estimatef (1.0). State the reason.
Enter the estimated y-value When analyzing the model y; = Bo + B1 * Xi + & where & E N(H,o) we got I Bo = (3.886, 7.102) and Ie1 = (2.666,4.562). Enter an estimate of y when x = 3 with at least 2 decimal places accuracy
- From the following data find the marks in English. If the marks in Hindi is 50. Hindi (X) English (Y) Мean 40 50 S.D 10 16 r = + 0.5 CS Scanned with CamScanner
I'm very confused on e, can you please do it step by step. I would like to know what formulas to use. For F, I got an interval between 1 and 9 (rounded) but I'm not sure if that is correct.
5.
Give approximate answers to two decimal places
4. (2) Using data from 1950 to 1996 (N = 47 observations) the following equation for explaining wheat yield in the Mullewa Shire of Western Australia was estimated as YIELD, = 0.1717+0.01117t+0.05238Rain, (se) (0.1537) (0.00262) (0.01367) ... Where YIELD, is wheat yield in tonnes per hectare in year t; t =1, 2, . 47 is a trend variable to capture technolo change, and RAIN, is total rainfall in inches from May to October (the growing season) in year t. a) Interpret the coefficient estimates of t and Rain. b) Using a 5% significance level, test the null hypothesis that technological changes increase mean yield by 0.01 tonnes per hectare against the one-tailed alternative H₁ : ₂ >0.01. c) Using a 5% significance level, test the null hypothesis that an extra inch of rainfall increases mean yield by 0.03 tonnes per hectare against the one-tailed alternative H₁ : B3 > 0.03. d) Adding the square of rainfall to the equation yields YIELD, = -0.6759+0.011671t+0.2229 Rain, -0.008155 Rain? (se)…
I need help with part b in the attached question. Please make sure to Round the x1^2-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed. Thanks

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