Draw the difference table and Approximate (1. by Using Newton's forward difference method 1 1.2 1.4 5.25 1.6 1.8 8.58 2.2 f (x) 2.32 3.66 6.96 9.93 10.86
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A: Thanks for the question :) And your upvote will be really appreciable ;)
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- The 2011 Tōhoku, Japan earthquake is the newest deadliest earthquake. The power was equal as about 600.000.000 Hiroshima bomb. After the 9.0 magnitude earthquake, 900 aftershocks emerged and around 13,705 casualties had to lose their lives during the course. Because the earthquake so powerful, it has shifted our earth axis by 25 cm. 5. Based on this information, arrive to the conclusion on how much stronger was this earthquake in comparison with 2017 Mexico earthquake. Show work.The velocity of a car was read from its speedometer at 10-second intervals and recorded in the table. Use the Midpoint Rule to estimate the distance traveled by the car.t (s) v (mi/h)0 010 3820 5230 5840 5550 5160 5670 5380 5090 47100 45Find the average value of the function: fx) = mx + n at the interval [a, b]. At what point in the range [a, b] does the function get this mean value?
- Using the Newton's backward interpolation formula, estimate temperature at 9 min time.The following data is given for the stopping distance of a car on a wet road versus the speed at which it begins braking. v (mi/h) 12.5 25 37.5 50 62.5 75 d (ft) 20 59 118 197 299 420 Calculate the rate of change of the stopping distance at a speed of 62.5 mph using (i) the two-point backward difference formula, and (ii) the three-point backward difference formula.The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO2 in the atmosphere from 1958 through 2016 is approximated by A(t) = 0.012414t2 + 0.7485t + 313.9 (1 ≤ t ≤ 59) where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average amount of CO2 in the atmosphere from 1958 through 2016. (Round your answer to two decimal places.) ______ ppmv/yr
- Give the average rate of change over the interval 0 is less than or equal to x less that or equal to 5! Number 5!During the first 45 seconds of a rocket flight, the rocket ispropelled straight up so that in t seconds it reaches a height (in feet) of: h(t)= (t^3)/(√10) What is the average velocity of the rocket during the first 135 feetof its flightFind the average value of g(x)= x+e^x on the interval [2,7]. Express your answer as a decimal rounded to the nearest hundredth.
- The volume V, in liters, of air in the lungs during a five-second respiratory cycle is approximated by the model V = 0.1729t + 0.1522t2 − 0.0374t3 , where t is the time in seconds. Approximate the average volume of air in the lungs during one cycle.Write a differential formula that estimates the change in cross-sectional area A=pie*r2 of a tree if the radius increases from r0 to r0 +dr.The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using data obtained by Charles David Keeling, professor at Scripps Institution of Oceanography, the average amount of CO2 in the atmosphere from 1958 through 2010 is approximated by A(t) = 0.012313t2 + 0.7545t + 313.9 (1 ≤ t ≤ 53) where A(t) is measured in parts per million volume (ppmv) and t in years, with t = 1 corresponding to 1958.† Find the average amount of CO2 in the atmosphere from 1958 through 2010. (Round your answer to two decimal places.) ppmv