The value of n that will insure an approximation error of less than 0.00001 when approximating sin(æ)da and employing the composite midpoint rule is O a. 717 O b. 718 O C. 716

Q: Find the correct estimation of the value tan-1(2) by using Simpson's Rule with n = 4. A.) 1.1384 B.)…

A: Simpson's 1/3 rule ∫abf(x)dx≈h3(f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x3)+ ⋯ ⋯…

Q: b)Estimate the value of cos 0, at 0 = 5°with the help of the following table 0⁰ 10⁰ 20⁰ 30⁰ 40⁰ 50⁰…

A: The given table is: θ 0 10 20 30 40 50 sinθ 0 0.1736 0.342 0.5 0.6428 0.766 We have to…

Q: The approximate value of fx sin x dx by combination of Simpson's 1/3 rule and Simpson's 3/8 rule (6…

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Q: Determine the percent relative error based on single application of Simpson's 1/3 rule -5 2.5…

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Q: Let P be an approximation of pai accurate to n decimals. Show that P + sin P gives an approximation…

A: Substitute the value of P in |f(x)|.

Q: 29. From the following table, estimate the value of tan 16° using appropriate formula 0° 5⁰ 10⁰ 15⁰…

A: We have: x y=tanx x0=0° y0=0 x1=5° y1=0.0875 x2=10° y2=0.1763 x3=15° y3=0.2679 x4=20°…

Q: 1₁ -1.2 - St 0 √x sin ex dx

A: Given :   I1=∫01.2xsinex3dx

Q: -똥, V5 with s in quadrant Il and let sin(t) 4 8) Let cos(s) = -, with t in quadrant III. Determine…

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Q: Obtain graphically an approximately value of the root of x = sin x + Tt /2

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Q: Compute the following using a calculator: cos(178°). Round your answer to two decimal places.

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Q: cos='A F'A where A =atib

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Q: Using Simpson's rule, the approximation value for the o sin(x)dæ is : Select one: a. 1.024 b. 0.425…

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Q: Consider the function Vx² sin? COS X - X f(x) = Vx-1 sin ++1 Determine f'(0.25) using 3 point…

A: In this question, we need to determine f'(0.25)  using 3 point central difference with h=0.01.…

Q: apply Newton’s Method to f and initial guess x0 to calculate x1, x2, x3. f (x) = cos x − 4x, x0 = 1

A: Given: Calculate-

Q: . Use the trapezium rule to estimate the value of the following correct to four decimal places a)…

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Q: Compute the following using a calculator: cos(). Round your answer to two decimal places.

A: In This question it is just asking the value of cos(2π/9), so, a calculator is required.

Q: The approximation of I = , tanx dx using composite Simpson's rule with n=5 is: None of the choices…

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Q: 1 Estimate the error if P3(x) = x - x³/6 is used to approximate the value of sin x at x = 0.1.

A: We have to find the error.

Q: Consider the function f(xr)=x+sin(x), where the sin function is in radians (Beeler et al. 1972).…

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Q: The approximation of I = , tanx dx using composite Simpson's rule with n=5 is: 0.6158 0.6165 None of…

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Q: The amplitude A and period T of f(x)=5sin(4x) are..................... and ....................

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Q: For what values of z in [0, 27] does the graph of f(x) = x + 2 sin z have a horizontal tangent? List…

A: fx=x+2sinxTo find the values in x in the interval 0, 2π as which f(x) have a horizontal tangent

Q: calculate SN given by Simpson’s Rule for the value of N indicated.

A: Given, ∫01cos(x2)dx  and N = 6 Solution: Simpson's rule: Area = ∫abf(x)…

Q: The value ofn that will insure an approximation error of less than 0.00002 when approximating…

A: The error in the composite midpoint rule is given by the formula εa=b-a6h2f''(μ). Here, h is the…

Q: Compute the following using a calculator: cos(). Round your answer to two decimal place= 10л 9

A: Given,     cos10π9

Q: From the equation, f(θ)=sinθcos2θ-(cot θ / θ) +1, what is/are the critical points?

A: Consider the equation

Q: The approximation of I = , tanx dx using composite Simpson's rule with n-5 is: None of the choices O…

A: f(x) = tanx Each interval h=(b-a)/n =1-0/5=1/5 =0.2 xO=0, x1 =1/5, x2=2/5, x3=3/5,x4=4/5, x5=1…

Q: 14. Find a) esin 2xdxb) J vanyt dx, using the substitution x= 2 tane. 15, Find a) fxe"-dx b) dx…

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Q: Find the length of the curve [x = eª cos(t) y = et sin(t) for 04 (Hint: You can simplify the…

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Q: G:2 Approximate the sel of K= Sin xo upto 4 decimal places by using Nedu'ton methed

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Q: Find the egetion of the tanqent line on the interval (o,5) to co.1, 6.2)

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Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)

Q: The characteristic equation can be defined from [sI — A| = 0, which is :

A: This is the question of the characteristic equation and eigen value.

Q: Which of the following is the estimated roof for f(x) = tan x-13cschx+4 using Newton-Raphson's…

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Q: Find the tangent of 2Q. 39 80 S. 89 Write your answer as an integer or as a decimal rounded to the…

A: tanx= perpendicular / base

Q: See image below....

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Q: 3) by using a

A: sin(12π13)=f(a)+f'(a)*h=cWe need to break it in Taylors series:f(x±h)=f(x)±hf'(x)±h22f''(x)±...

Q: Given f(x) = sin(5x + ) a) Use P3(x) to approximate f () b) Use Lagrange error bound to show S ()-…

A: (a) The Taylor's series of sin(x) is as follows: sin(x)=x-x33!+x55!-x77!+x99!-⋯ So, we get…

Q: Use an appropriate local linear approximation to estimate the value of cos(59°). cos(59°) ~

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Q: Find the root of the equation f(x) = xe* - cos(x) = 0 starting with x, by Fixed Point Method, with…

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Q: Find the tayler seris of f(x)=cos(x+pi/6) centared at a=pi/3

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Q: suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 60…

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Q: The approximation of I = tanx dx using composite Simpson's rule with n-5 is: O 0.6158 0.6165 None of…

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Q: Evaluate the following (1) S sin3x sin2x dx

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

Q: csch(3 tan x) + sin² x cos² x dx

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Q: Compute the following using a calculator: sin(). Round your answer to two decimal places.

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Q: Find a function u(r, 8) that is harmonic outside the unit disk, equals f(0) = 2 sin(30) + 4 cos (50)…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Determine the percent relative error based on trapezoidal rule, with n =4 -5 2.5 sin(1.5 x) + 1.22…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.