Q/3 x2 -9 Let f(x) = + т, х+3 x-3 тx + 3k, x = 3 Is cont. at x = 3, find the value m&k if f(-1) 8.

Q: f'uo) -22:2294 W = 0.4748 2nd Stetzation flui) = fla4748) = 31e flui)= 0.0044 f'ni)= flouT48) = -31e…

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Q: 10 X =1.2 is to be sol he initial approxima

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Q: Let f(x) = x³ – 2x – 6. Tell why f has a solution in [1, 3], and use the Newton-Raphson method with…

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Q: Q2: Use the Newton-Raphson method to find a solution cos(x+ v2) + x+ vz) = 0, for-2sxs-1 accurate to…

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Q: 3.13 Function f(x) = 3x² +6x – 5 is given. 1. Calculate the value of df/dx at x=1 using the…

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Q: 10 Show that the equation 2x+e" - 2 =0 has a root between x 0 and x= 1. Using the Newton- Raphson…

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Q: 3. Let f(x) = x³ + 2x2 – 5 and the initial approximation point is po - = 1 to exact solution p. Use…

A: Given function is, fx=x3+2x2-5.

Q: 29 - For what values of a and b is | S x+3a-b axt 26 3x-5 Continuows at every X?

A: g(x)=ax+2bx≤0x2+3a-b0<x≤23x-5x>2

Q: Q.3 а. Using first principle develop a formula of finding AY AX when Y- {(X)+g(X) Z(X)

A: y = (f(x) + g(x)) ÷ z(x)     Hence,  => ΔYΔx  =  dydx  =  ddx(fx+gxzx) By quotient rule of…

Q: Q3. Let g(x) = 1-0.5 cos x, x = [0, 1]. a. Show that g has a unique fixed point. b. Find the number…

A: It is given that,  g(x) = 1-0.5 cos x,  x∈0, 1 (a) Show that g has a unique fixed point. (b) Find…

Q: sinh(3z+1) z2 - 5z+6 Evaluate dz, where C : |z– 2i|= 1, counterclockwise.

A: We have to evaluate ∮Csinh3z+1z2−5z+6dz, where C:z−2i=1, counterclockwise. Cauchy Goursat theorem:-…

Q: Q3)Use (Newton Raphson Method) to fmd the root of fcx) = x²_x* +2x -1 =0 on Lo,1], Where E =0

A: Formula: The iteration formula to find the root of a function by Newton-Raphson method is given…

Q: H.W. (1): Use simple fixed-point iteration to locate the root of x- sin(x) = 0.25 Starting with an…

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Q: Q1: - Use N.R.S. Method to solve the equation f(x) = e-* - cos x start %3D with x0 = 1 and use four…

A: It is given that

Q: 3.Eliminate the arbitrary constant on the given equation: xsiny – x²y-3 = C

A: In this question we have to eliminate the arbitrary constant on the given equation.

Q: Q1 Find root of equation f(x) = In (x')-5, using N-R method in [5,6] with e S0.0001, take E=|x1-x,…

A: Note: It is assumed that the N-R method is the Newton-Raphson method. The root of the equation…

Q: Find the root of f Ca) = as +bx°+ dsinx between Xe2 and x =4 with the use of 4- Bise ction method a=…

A: Suppose the root of the function fx lies in the interval xn-1,xn. Use the following formulae, to…

Q: two iterat x' = -2x+t, using successive approximation. x(0) = 1.

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Q: 6. f(x) cos (4x- 16), when x = 4 (0 in the given function is in degree measure)

A: Given- fx=cos4x-16 To Find- The value of the above expression when x=4 and θ in the degree measure.

Q: a) Solve (6x²e* ,x0 ii. [3 cos 2xsin 7xdx 2x+1 1 10x +5 b) Show that (x² +1)(2–x) Hence, find | 2-x…

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Q: (x²-cos(2x). c. T(x) = x d. T(x) x2. find Q at x = t/4. = 100e-3x + In(4x), k=470, A= 0.01r and x=…

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Q: (x-2) (g-9) 2- 3X+uX- %3D 29-u | Sind general Salantion

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Q: Find the linearization of y = eV1x at x = 36. (Use symbolic notation and fractions where needed.)…

A: We have to find linearisation

Q: f(x) = e2x- 3x Q2/ Use Newton-Raphson method to estimate the root of near x= -0.5 to four digits…

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Q: b. (1+y²)y" + xy' - 3y = cos x solve and show that this equation is non- linear and non-homogeneous.…

A: As per the question we have to use the solution of the given second order differential equation to…

Q: 1 Eliminabe the arbitrary constants C,e"cos 2x - 3X SIn 2x + - ZX Y C,e

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Q: (2 (1=x)² F flxa ax² tbx?, determine a and OF b co that the grape of f will have a point of…

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Q: 1 8. When we say that (Inx) = , we really mean to con- dx 1 on the restricted domain (0, 0). sider…

A: Given the function ln(x) Now for the derivative : ddx(ln x)=1x Here we take the function 1x on the…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If an answer does not…

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Q: i) Given that f(x)=3cos5x+sin5x. (a) Express f(x) in the form Rcos(5x-a) where R>0 and 0° < a <90°.…

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Q: 5(t - )cos3t) 3 252 + 18

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Q: Q\ use Euler's method to the differen fial equa tion Solve y=XVXY When y co) =\ cnd

A: For the solution follow the next step.

Q: I Example 8.24. Using three point Gaussian quadrature formula, evaluate * dx q85 Jo 1+ x

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Q: 1. Consider the function f(x) = 7x3 – 8x + 4. Find the solution of the equation f(x) = 0, within…

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Q: 9x²– e2x 2 Given by a function of x is equal to v1 – cos²x + where f(x) 3x+ e* = 0. find the roots…

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Q: 112 4. Solve the equation satisfying the conditions: %3D nsianos (i) T= 0 when x = 0 and 1 for all t…

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Q: 20. The action of a spring can be modeled by the function y = 4 cos x – cos x sin x after x seconds…

A: Given y=4cosx-cosxsinx (0&lt;x&lt;8)

Q: Q1. Given the nonlinear equation x = Cos ¹(x²), find the: a. First root by bisection method

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Q: Q3) Find the root of the equation F(x)=x² - 3(sinx)² by using Newton Raphson method with initial…

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Q: Q2: A) Use Newton's method to find solutions accurate to within 10-4 for x3 - 3x2 - 5 = 0, on [1,4].…

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Q: a3z cos(x – 4y) show that a3z 6. For z = дудхду

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Q: Newton-Raphson method is applied to solv (x) = x³ + 2x –1 = 0. If the initial guess xo = 1.2 th fter…

A: Introduction: The formula of the Newton-Raphson method is given by, xn+1=xn-f(xn)f'(xn) Where f(x)…

Q: The equation implicitly defines z as a function of t. Find dz dt +² 22 - sin (5 z) = -8

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Q: Suppose * = f(). (a) Given y(xo) = Yo, when does this equation have a unique solution? = z(x, y) to…

A: Given- Suppose dydx = fymx To find-  Given yx0 = y0, when does this equation have a unique…

Q: 13 a. Show that x' = 3x² -1 has a solution on the interval (1,2) . b. Use Newton-Raphson's method…

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Q: 36 - With p0=0.5 and p1=pi/4 starting point f(x)=cosx-x, find its root when n=0 using Secant Method.…

A: Given: To find the root of the following equation using secant method, f(x)=cos(x)-x Initial points:…

Q: ¹{.(²-1)} = Q4. C-1 (a) cosht - 1 (b) (c) 1 2 (d) 1 - cosh t [cos 2t - 1] [sin 2t - 1]

A: Here, to find the inverse Laplace transform of the function: 1s(s2-1)=1s(s-1)(s+1) Now, using…

Q: 23// Use Newton-Raphson Method to solve f = -x²+x+0.75 for 5 iteration (choose 4-decimal places).…

A: The objective is to solve the given function using Newton Raphson method. The iteration scheme is…