Find f( 2020/9π+2021kπ), where  is an integer number, if         f(x)= 4sin2 3x/2  4cos2 3x/2

Q: Find one real root of g (x) = In(x*) = 0.70 between 1 and 2. How many number of iterations were…

A: Given function is gx = lnx4 = 0.70 when   lnx4 = 0.70⇒lnx4 - 0.70=0⇒ hx = lnx4 - 0.70 initial…

Q: 1. Solve the approximate root of f(x) = x^5 - 3 using at least 5 iterations on Bisection Method with…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Calculate the real root of f(x)=x^3-2x^2-2x-3.4 with the first iteration of Regula Falsi (False…

A: 2.52 is the correct answer.

Q: If you apply two steps of the Secant Method to x3 = 2x + 2 initial guesses x0 = 1 and x1 = 2, Then…

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Q: Let f(x) = x2 + bx + c, b is negative odd integer, f(x) = 0 has two distinct prime number as roots,…

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Q: The approximate Riemann sum of f(x) = x³ - 9x on [0, 8] using n rectangles with right endpoints x;…

A: We have to find the value of f(8i/n)

Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: Let f(x) = In(10æ® + 7x + 47) 60x + 7 1026 + 7x + 47 f'(x) = Solve f'(x) = 0 %3D No decimal entries…

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Q: In Problems 99–106, analyze each polynomial function f

A: f(x)=x3+0.2x2-1.5876x-0.31752

Q: a. Prove that ex>= 1 + x if x>= 0. b. Use the result in part (a) to show that ex>= 1 + x +…

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Q: Use the Gauss-Seidel iterative technique to find approximate solutions to 10x1 – x2 + 2x3 = 6, -x1 +…

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Q: Let xn ≥ 0 for all n ∈ N. (a) If (xn) → 0, show that (√xn) → 0. (b) If (xn) → x, show that (√xn)…

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Q: Consider the problem maxx [-(x - 4)]² subject to x21. Use Thus the Kuhn-Tucker conditions to find a…

A: We are given the following problem.       maxx -(x-4)2       Subject to x≥1 Let us simplify the…

Q: 9. For |x|<1, prove that 8x 16x 24x 1-x1+x 1-x 2 8x 8x = 1+ (1 – x)? (1+x2 (1-x)? ...

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Q: 29. For |x|<1, prove that 24x 1-x 16x 8x 1 + 1-x1+x ....... 8x &r = 1+ (1- x) (1 +x)2 ' (1-x)2 ...

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Q: Consider the IVP: x" + 4tx = 0, x(0) : - 1, x'(0) - 3 Using the Euler method with a time step of At…

A: Given, x''+4tx=0, x0=-1, x'0=-3, ∆t=0.5 Now, by Euler's method xn+1=xn+hpn=xn+∆tpnAnd,…

Q: x2n+1 El-1)"; 2n +1 n=0

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Q: If f(x) has odd degree and negative leading coefficient, as x goes to -∞, then f(x) would go to

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Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

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Q: Show that when x increases from 1 to 1.25 and when it increases from 2.75 to 3, the value k of grows…

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Q: x2-2 x+1 x2 --x-In Ix+11 + C C. + x- In Ix+ 11+C x2 -x + In Ix + 11 + C 2 +x + In Ix+ 11 + C O B

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Q: Suppose that K, L, M, and N are four approximations of the unknown root r of function f such that…

A: Given: Suppose K,L,M,N are four approximations of the unknown root r of function f. since r is the…

Q: Apply the secant method to solve ƒ(x) = e*² In x² – x = 0. Discuss the procedure for dealing with…

A: We are given the following function. f(x)=ex2lnx2-x=0 We have to solve by the secant method. Note…

Q: 3. Determine the lowest positive root of f(x) = x³ – 6x2 + 11x – 6.1 by using the Newton- Raphson…

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Q: 1. Solve the approximate root of f(x) = x^5 -3 using at least 5 iterations on Bisection Method with…

A: Given function is f(x)=x5-3 With a=0, b=10 Here f(0)=-3&lt;0f(10)=9997&gt;0 Since f(0)f(10)&lt;0…

Q: I) Find solutions to the following function f(x) = 3x + In(x) using five iterations of the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find 2-th and 3-th iteration of the secant method for Ax) = x - x3 + x - 5 Xo = 2, x, = 1 20 15 10…

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Q: b-a Use the theorem (≤ ɛ) to find a bound for the number of iterations needed to achieve 27 an…

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Q: a) Prove If he Given DE Is exact or non-exact Find its General solution

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Q: The critical number(s) of f(x) 2/3 is (are)

A: The critical points of a function are the points where the derivative of the function is not defined…

Q: For f(x) = x³ - x +4, compute the formula for n+1 in Newton's method. - In +4 - 3h - In 3a급-1 | In +…

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Q: 1d. Show that the given equation x- In xX= 0, has a root in the interval [4, 5].

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Q: Show that the generating function for compositions into an even number of parts, each of which is…

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Q: 1, when x is a rational number. f(x)= 0, when x is not a rational number. Determine if the function…

A: Given:  fx=1, when x is a rational0,  when x is not a rational To determine the function  f is…

Q: 2) Find the root of the polynomail f(x)= x' – 3 x² +2 by using the Newton's Method. You must do at…

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Q: A culture of bacteria has an initial population of 9700 bacteria and doubles every 2 hours. Using…

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Q: a) Verify Rolle's Theorem for ƒ(x)= 2.x' – 8.x + 4 over the interval [0,2].

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Q: olve for t such that Tmix(t) = 100 degree F Tmix(t) = 72 + 65.8e^-0.125(t-tmilk) tmilk = 1.826

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Sove for X: 3+ In(x+2)=2 .do not round any intermediate Computeltions; and round your answer. to the…

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Q: 10. Find all of the discontinuities that exist for g(x) = 2*+3x-4 Show any work required to %3D x+1…

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Q: The Newton-Raphson method fails if Of" (x₂) = 0 Of (1₂) = 0 O f' (1₂) = 0 0 = (º¹),f O

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Q: Find the critical numbers of the function f(1) = 2x – 3x² = 36z. Answer (separate by commas).…

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Q: 4) To find the root of the equation x2- 6 = 0 by using the fixed point method in [1,2] one of the…

A: Fixed point iteration method

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with False position method. Use initial…

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Q: We conclude that: for every additional distress input, the brain activity increases by 0.061 units…

A: Answer:----.               Date:----6/10/2021 since slope is change in dependent variable with 1…

Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: 5. Determine the Wronskian of the functions (x)=x2 and g(x)=3x2. For what values of x is the…

A: Please refer to the image below

Q: For the IVP y' = 999e-t-1000y with y(0) = 1 would Forward or Backward Euler be a better choice for…

A: We are given the following IVP y'=999e-t-1000y with y(0)=1. Now, we need to identify whether Forward…

Q: 29. For |x|<1, prove that 16x 24x 8x 1 + 1-x1+x 1-x ..... .. 8x 8x = 1+ (1- x)? (1+x)²' (1-x)?

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