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4. (i) Show that r >0 6 mar 「1+e-)-dz by using the series of part (i) and (ii) Find an approximation for giving your answer correct to 4dp 6 mar (iil) Find an approximation for J+eFd by using Simpson's rule with eight equal intervals and working to 4dp 8 man
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|(a) Differentiate the following functions with respect to and simplify your answer 1. possible far as as -5 1 mark (ii) esin (2r [4 marks 11 y = In(a) [5 marks (b) Determine the following da : sin (i) 6 marks dx 11 - 1)(x +3)
|(a) Differentiate the following functions with respect to and simplify your...
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Consider the following periodic function f(x) with period 2. 9. a) f(x)= x. f(x)= f(x + 2) Sketch this periodic function in the interval -3sxs3 Find the Fourier series expansion of this function b) c) State the value f(0) and use it to show that (2m+1) By differentiating the series for f(x), find the Fourier series expansion of d) period...
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Consider the following periodic function f(x) with period 2. 9. a) f(x)= x. f(x)= f(x + 2) Sketch this periodic function in the interval -3sxs3 Find the Fourier series expansion of this function b) c) State the value f(0) and use it to show that (2m+1) By differentiating the series for f(x), find the Fourier series expansion of d) period...
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I have received wrong solutions many times.
1. Find the approximate value of I= = 1 da 1+2 by using (i) Trapezoidal rule and (ii) Simpson's rule. Obtain a bound for the errors. The exact value of I = ln2 = 0.693147 correct to six decimal places.
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Question 5 Estimate the integral by Simpson's rule using n=6. a) 0.7000 b) O0.500 c) O 0.3500 d) 0.2500 e) 0.8000 Review Late! Question 6 Estimate the integral = x3 + 4 dx by Simpson's rule using n= 8. a) O 0.9361 b) O 1.0212 c) O 0.7659 d) 0.851 e) 0.6808 Review Later
PLEASE ANSWER USING BASIC CALCULUS 2 PRINCIPLES!!!!
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PLEASE ANSWER USING BASIC CALCULUS 2 PRINCIPLES!!!!
THANK YOU
(i) Find the linear approximation and quadratic approximation of f(x) = e3x at x=0. Use both 3 approximations to evaluate e4 (ii) Use the geometric series to express the following functions as a power series and find x the interval of convergence. 1+x?
Could you help me understand these please? I am struggling to
answer these.
Which of the following set of reagents would be the best choice to complete the following Suzuki-Miyaura reaction? Вона 2 cul Pd(OAC)2 но" 1. Tsci 2. PBI 1. Mg 2. CH,OH Pd(PPhala NaOE Oc Od O e ob Оа What is the most likely (major) product for the following reaction given a 1:1 ratio of reagents? HOJ - - BI - - O Tonly O III Only...
Will you please provide a detailed thought process to coming
to the answer. Thank you!
In-Class #6 Below is the picture of 1 of 30 identical firms in a perfectly competitive market. Which of the following are true? I. At a price of $44, the firm is making positive economic profit II.A point (Q, P) on the market supply curve is (120, 12) III. If this profit maximizing firm is producing 41 units of output in the short run, then...
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28. An order of 4000 parts is received. Let random variable X be a number of defective parts. X follows a binomial distribution with n 4000, p .005. Using the central limit theorem, [normal approximation) a) find the probabilities : P(18 <X <21), P (X > 21) b) find the probability that average number of defective parts in 36 randomly chosen parts exceeds 21. c) Why is it possible to apply...