The following polynomial relates the specific heat to constant pressure of dry air Cp (inKJ/KgK), depending on of the temperature:Cp == 0.99403 +1.671x10-4T +9.7215x10-87²-9.5838x10-117³+1.9529x10-1474Use the Newton-Raphson method to determine the temperature that corresponds tothe specific heat of 1.2 KJ/KgK. Start with an initial value of T=0 and get the root withan error smaller than 1x10-5

Given: Cp=1.2 KJ/KgK. Substitute the value of Cp in…

Answered: The following polynomial relates the…

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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An unknown virus begins to spread in a small community of 10, 000. After t days, the number of people who have become infected by the virus is modeled by the function Į. How many infected people after 9 days? * 10,000 v(t) : %3D 5+1,245-0.97t can't be determined 1,923 11, 250 2, 000
Let y = x3 + x2 + A . Construct a difference table from x= 0,1,2,3, and 4. Calculate y for x=4.5 by using Newton Interpolation Polynomial Formula. Also compare your results. (where ? given in the instructions) A=7
v = (5, 2, 4) w = (8, 2, 3) Find the cosine of the angle between v and w. cos 0 =
Develop a program in a language of your choice to implement Newton or Lagrange interpolation polynomials. Use this program to calculate f(2.5) and f(4) employing the data given in question-2.
An object is thrown down from a height of 208 feet with a velocity of 72 feet per second. The objects distance from the ground, ss , at time tt seconds after being thrown down is given by the function s(t)=−16t2−72t+208 How many seconds after being thrown down will the object hit the ground?
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A large tank contains 140 litres of water in which 20 grams of salt is dissolved. Brine containing 15 grams of salt per litre is pumped into the tank at a rate of 6 litres per minute. The well mixed solution is pumped out of the tank at a rate of 3 litres per minute. (a) Find an expression for the amount of water in the tank after t minutes. (b) Let x(t) be the amount of salt in the tank after t minutes. Which of the following is a differential equation for x(t)? (A) (E) (I) dt 90 || 3 x(t) 140 + 3t 6 (B) d 6 x(t) 140 + 3t 3 x(t) 140 + 6t dt dx dx 3 = 90 − x(1) (F) = 18 - 1*(7) (G) = 18 - dt dt 140 x(t) (C) dx dt = 18 3 x(t) 140 + 6t 6 x(t) 140 + 6t (D) (H) dx = 90 3 140 x(t) 6 x(t) 140 + 3t
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What is Power and Multiple Rules?
The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = - 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-³)T² - (5.481717 x 10-3)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-")T®h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
The following are Rotameter calibration data (flow rate versus Rotameter reading): 100 160 a) Fitting the calibration data to a second order polynomial using curve fitting. Rotameter Reading R 15 30 60 80 Flow rate V(L/min) 20 85.7 119.3 55 b) Calculate the flowrate (V) at rotameter reading R=70.
When an oven is turned off its interior temperature is given by T=70+330(0.8)7, where T is the temperature in (F) in the oven and t is the time in minutes after the oven is turned off. For each of the following, assume room temperature remains constant. What is the oven temperature (in F) after ten minutes?

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