S. Questions for nest time How do we generalize to n-point Gausian quadrature? Is this going...
(2) (4 pts) We are going to generalize the result from the previous exercise as follows. Fix two positive numbers c and c2 satisfying cI <c. Define number of primes between ciN and c2N number of integers between ciN and cN This is the probability that an integer n in the interval cN,cN s a prime number. Use the Prime Number Theorem to find an easy to compute function F(c,c2; N) such that P(C1,C2; N) lim (3) (3 pts each)...
3. (1 point) This is 2-point Gaussian Quadrature for any f(x) dx. The weights and the nodes do not change when we integrate a new function. So...does it work? Does this actually lead to a method that is good for intergating functions in general? Use 2-point Gaussian quadrature to approximate the following integral: I e-ra da. -1 The exact value of this integral rounded to 2 decimal places is 1.49. Show your work when computing the approximation. Report the answer...
this is numerical analysis. Please do all the questions
3. (a) Consider the quadrature rule path ( * s(a)dx = Af (a – 1) + Bf(a) + Cf(a+h). Find A, B, C which maximize the degree of precision. Hint: First derive the rule for a = 0 and then use a change of variable. (b) State this degree of precision and verify it is not any higher. (c) Suppase g is a function whose 3rd divided differences are all the...
how to do question 3?
"normal equations" for the line's coefficients from the Error Function E. 3. Le (x) = VX + 1 . Use Adaptive Quadrature Simpson's Rule with n = 4 to 2 and n estimate J f Cr)dx and find the Absolute and Estimated Errors. 2 20p 0 in initial value probler
"normal equations" for the line's coefficients from the Error Function E. 3. Le (x) = VX + 1 . Use Adaptive Quadrature Simpson's Rule with...
35) Consider the series . How large do we need to choose n so that the remainder n=0 n/3 a) R, s.001 b) R, S.0001
35) Consider the series . How large do we need to choose n so that the remainder n=0 n/3 a) R, s.001 b) R, S.0001
1. Definitions of time. (a) Define local siderial time. (b) Why do we use Universal Time (UT), and not International Atomic Time (TAl)? (c) Why is it useful to use the Julian Date (JD)? (d) How would you go about measuring the Declination (DEC) and Right Ascension (RA) of a star?
1. Definitions of time. (a) Define local siderial time. (b) Why do we use Universal Time (UT), and not International Atomic Time (TAl)? (c) Why is it useful to...
How
to do part C?
B. Now we are going to further test the hypothesis that natural selection is at work with a different population, favoring the retention of the debilitating sickle cell disease (heterozygote dyantape) in a population (Yoruba tribe) exposed to malaria by determining whether or not the population is in Handy Weinberg (HW) equilibrium. The total Number of individuals surveyed in the Yoruba tribe was 12,387. They had the following genotypic breakdown genotype ΗΔΗ HH 9365 (2...
How much work must we do on an electron to move it from point A, which is at a potential of +50V, to point B, which is at a potential of -50V, along the semicircular path shown in the figure? Assume the system is isolated from outside forces (e = 1.60 times 10^-19C) 1.60 times 10^-17 J -1.60 times 10^-17 J 1.6 J -1.6 J This cannot be determined because we do not know the distance traveled. If an electron...
please help
2. Now we are going to look at problem 1 again, but this time we are going to set the spaceship as the inertial stationary frame, meaning that the Earth is defined as the moving frame and traveling away from you. 1B:.8740 ; P = 2.058yr a. Using your answer from Ib as the speed of the moving frame, V, what is the speed of the Earth with respect to your spaceship? Using a Galilean Transformation equation for...
What is “Process S”? How do we know that it exists and is separate from the circadian system? How can we manipulate Process S?