0. The value 31 The function f(x) of t is = x sin x satisfies the following equation: f"(x) + (x) + t cosx =

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Q: 1) Find the value of m that makes m a) f(x) =- continous at x=0 tan x- sin x x>0 b) Show that the…

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Q: If cos-x y, then sin(2y) Is equal to 2r O 2/1- x2 2r VI - x? 2r1 - x? O dt atr = 0 has a The…

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Q: 2. f(x) = x²cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) = 5. f(x) = 2cos (2 + x³) 6. f(x) = x²ln x…

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Q: 3 f(x) = x° – cos(x) Solve this question by the Newton-Raphson method on the topic of solution of…

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Q: 4.2 Given g(x) = ) = cos z + sin for 0 <<, find the value of f(x + 1)dg(x). END

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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: f1(x) = sin(x1) cos(x2), T f2(x, y) = xy, f3(x) = xx¹, € R² x = x, yern XER"

A: Given the following functions                  f1(x)=sin(x1)cos(x2),   x∈ℝ2f2(x, y)=xTy,   x, y∈ℝn…

Q: Asymptotes Use analytical methods and/or a graphing utilityto identify the vertical asymptotes (if…

A: Question 46 - Given function - f(x) = x2-3x+2x10-x9Horizontal Assymptote - Concept - If,f(x) =…

Q: 1+2 e-kt cos kx = k=1 sinh t - cosht cos x

A: To prove / disprove: 1+2∑k=1∞e-ktcoskx=sinhtcosht-cosx

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A: Newton Raphson Method:- Hence by Newton Raphson Method Root of the equation is 0.61447 (correct…

Q: 4. Solve for ſ e* sin x dx in the equation S e* sin x dx = e* sin x + e* cos x - Se* sin x dx + c.

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Q: 2 Find the x-intercepts of y = 2 sin x + sin x – 1 on the interval [0, 27). %3D

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Q: 3. 4. 5. π X dx sin() co₂ (:) ª 2x - 1 4x1 dx 8. 9. (x-1) √x dx _2_2x dx 10. S√₁-2² a x dx

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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: 2. Find d using implicit differentiation. Enclose final answers. dx (a) √x=y=√√√x + y = 5 (b) xsin y…

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Q: 1. L 16x dx 2. o &. + 2 +1 3. (sec x- tan x dx dx 4. cos x tan x 1/4

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Q: 2. Solve for y in the equation y = e* sin x + e* cos x – y +c 3. Solve for f e* sin x dx in the…

A: Given, (2) y = exsinx +excosx -y +c  We have to solve for y (3) ∫ex sinx dx = ex sinx + ex cosx -…

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Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

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Q: This problem deals with functions defined by f(x) =x + b sin x, where b is a positive constant and…

A: Given,   f(x)=x+b sin x  y=x+b :-Tangent to f(x)

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Q: 3. A 2 cm long metal wire with thermal diffusivity ² = 4cm² s¹ is used to conduct heat in a machine…

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Q: f(x) X-Cos(X) ✓ Tol = 0.0005 ||X₁ = 1 1 + x 2 By using newton rafson find the solve...

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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: 50. Find a real root of f(x) =x sin.x+ cos x = 0 by Newton Raphson method.

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Q: 2 sin x Verify whether the function g(x) =1- is the solution of the integral equation [1 – (7/2)]…

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Q: 6) Find the linear approximation to h(y) = Sin(y + 1) at y =0 Use the linear approximation to…

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Q: (31) Use Newton's Method to make the second approximation x2 to the solution of 2e" = ex. Take x1 =…

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Q: 7. The concentration C(t) of a certain drug in the bloodstream, t hours after injection is: C(t) =…

A: The concentration C(t) is given by C(t)=sint+cost-1   , on the interval 0,π2             .....(1)…

Q: e) f(x)=tan(cos¹.x) () COS X [+sil x h) y = 2

A: Given

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Q: 2 S tan x sec x dx e-0.3x =27 Q5) (A) Evaluate (B) Solve for x: |3D

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Q: Q1: Find an expression of for the function y dt 2t %3D + 3x*. 3x Q2: Find an expression of for the…

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Q: 9. If f is an always positive, differentiable function and y = In (f (sin x)), what is- dy when x =…

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Q: The displacement x(t) cms at time t seconds, of a spring moving along a line is given by the…

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Q: به)ک ن ان -)f Ssin*(x)cos°(x)dx du )کی + 207 - )J No appropriate Match au)قی - 207 - ه-)J du )کی +…

A: Find the integral match of the integral sin5xcos5x.

Q: 2. By using Simpson's rule with N = 4,8, and 16 Integrate the following functions SOLVE PART B eX…

A: We need to use Simpson's rule to evaluate the integral. So, we need to find ∫0π4Tan X dX If we need…

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