Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then O I=-sinh n+ Ti(i-1) Ο -1-cosh π+ π(i-1) O I=-sinh m+ n(1-i) None of these I=0 O I=-1-cosh n+ n(1-i)

Q: - Find the extrema of the function S(x)= 5 sin(2x) – 2x² – 4x - - Using Newton's method initial…

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Q: Do the functions y, = cos4t and y, = sin4t constitute a fundamer %3D The functions constitute a…

A: The given differential equation is y''+4y=0 the auxiliary equation is D2+4=0 D2=-4D=±2i therefore…

Q: 2.3 Find the general solution of p fanx+q tany =lanz

A: Given:   P tanx+q tan y=tanz→           1   is of the form pP+qQ=z:

Q: 2. Without specifically finding its roots, show that f(x) = 0 for some x E [1, 2] where x2 4 f(x) =…

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Q: . Use Regula-Falsi method to find solutions of x = cos x which is accurate to within 10-8 . Take x,…

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Q: 2- Find the positive root of f(x) = xe" - cos(x) with an error tolerance g=0.005% by using %3D a)…

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Q: If e /2i =sin2 then z = /21 - 2 In(sin2) + 4kTt – 2i In(sin2) – 4kt | 2i In(sin2) + 4k T - 2i…

A: We use the identity e^(2πki)=1 and by tanking ln both sides and then calculate.

Q: 2. Determine one real root of 8 (sin x) e-² – 1 = 0 xo = 0.30 using Newton-Raphson | with %3D Method…

A: To solve the following problem, we use the Newton Rephson formula

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Q: A particle moves in the xy-plane in such a way that its path is defined by x = et cos t and y = et…

A: Given that, x=etcost, y=etsin2t. Differentiate x with respect to t, dxdt=etcost-etsint=etcost-sint…

Q: 4) USE THE GAUSS-JORDAN 2 0 -3 0 2 0 -4 1 A= 1 -1 1 - 3 0 2 1 - 4 || REDUCTION METHOD (SINE…

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Q: Let C be the shortest path that connects a to zi and I = f. (sinhz + 1)dz. Then None of these…

A: Second option is correct answer i. e.  I= -1-cosh(π)+π(i-1) . Thankyou !

Q: Let C be the shortest path that connects n to ni and I = S. (sinhz + 1)dz. Then Ι-1-cosh π+ π(-1)…

A: For the first question . Option first is correct answer . Thankyou !

Q: iii) E(-1)"+1 cos²(÷) COS n=1

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Q: 1. Calculate for one real root of tan r 4x with ro 1.2 up to four decimal places using the…

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Q: (5) a) Find the linear and quadratic approximations of sin(0.967) tan(0.26) + (0.96)²(0.26) b)…

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Q: Find the first approximation to the root of the equation xe-cosx-0using Regular-Falsi method correct…

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Q: X-2X-5= 2X-5-0 L2,3] Ans 2,0946 false pes;ti'oh Method

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Q: B- Find the solution to the equation = k satisfying the conditions at ax2 1-- 30 at x 0 for all…

A: A

Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

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Q: 4) USE THE 2 0 2 0 A 1 0 || GAUSS-JORDAN -3 0 -1 2 - 4 1 1 1 -3 -4 REDUCTION METHOD (SINE PROCEDURE)…

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Q: iFind the general solution of the equation sin4x 19. Find the general solution of the equation cos2x…

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Q: b) Show that the ode (x + tan-¹ y) dx + x+y dy = 0 is exact, then find the general solution and 1+y²…

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Q: b) cos 5x = -0.7 %3D a) sin 2x = 0.3 Cosc 57) to.7 Sin (2x) - 03-0 Cos C5x)+0.7 x -a xis at Letu=…

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Q: tion k passes through the points (4.

A: Please refer to the image below

Q: 2)Use Newton-Raphson algorithm to find the approximate roots of the following equation f (x) = = +…

A: The Newton-Raphson method (also known as Newton's method) is a way to quickly find a good…

Q: 2)Use Newton-Raphson algorithm to find the approximate roots of the following equation f (x) ==+…

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Q: Give two examples of the situation with the solution clearly and in order Soperties of Bessel's…

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Q: 10. Does there exist a harmonic function in z| < 1 taking the value 1 everywhere on |2| = 1? Is your…

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Q: 10. Solve for t on the interval [0, 2π) (a) 2 cos² t-cost-1=0 (b) 2 sin²t-3 sint + 1 = 0 taol al (c)…

A: Given

Q: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

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Q: Ti Ti to 8 Integrate cosh(4z) dz, C any path from - 8 Use the first method, if it applies, or use…

A: Using:- sinhx = -isin(ix)               Sin(-x)=-sinx               Sin (pi/2)=1

Q: 2 cos (n²+ 3n – 7) - b, Find lim b, V3n² – 4 -

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Q: 1. Solve the hyperbolic function of the following. i. cosh (-2 + j3) in the form of a + jb ii. sinh…

A: some formula  coshx+jy=coshxcosy+jsinhxsinysinhx+jy=sinhxcosy+jcoshxsiny i.…

Q: Find L {(2 – t) (5 cos 3t – 1)}. 1 g3 10 + s2 +9 - - s2 s(s²+9) O 1 s3 10 + s2 -9 2 - - 8(s2 –9)…

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Q: 2k sin(k/n), 212 lim is A-1 1. cos(1) +5/3. 2. cos(1) + 1/3. 3. cos(1) +2/3 4. cos(1)-1/3.

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Q: 2. Locate the first positive root of f(x) = sinx + cos(1 +x³)- 1 where x is in radians. Use four…

A: (a) We need to find the root between 1 and 3

Q: 11. One leaf of r = cos 30 12. One leaf of r = sin 40 13. Bounded by r = 2 cose %3D 14. Bounded by r…

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Q: 1o₂ = 2 · (² x (+) · cos (nwot) at O 11 2 1 = 2 25+ (1-1) cos (2nrrt) dt = 21- - [² (1-t) d 2 Los (n…

A: Using the integration by parts can be stated that: ∫udv=uv-∫vdu.

Q: A T 3n 4n Sn 6 7n 8A 9n 10n11n 12n Match the graph to the equation. 4 cos -1 O y = 3 sin - n) - 1…

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Q: 1- By using simple Iteration method, find one root of the following equation: b- e* * tan x = e-3n/2…

A: The iteration method uses the formula, xn+1=ϕ(xn) to perform the iteration.

Q: 2. For the continuous time periodic signal x (t) = 2 + cos(# t) + sin( t) determine the fundamental…

A: Given continuous time periodic signal is x(t)=2+cos2π3t+sin5π4t                            (1) The…

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: 16. So the maximum occurs at an angle of 0, but only if the angle is small enough. Explain why that…

A: Given: v=2μgscosθ+μsinθ Here μ is the coefficient of friction, g is the acceleration due to gravity…

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A: We have to find the necessary equation that must be satisfied.

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Q: 2. Use the bisection method to solve the equation x + cos x = 0. Show an appropriate graph. a. b.…

A: In part (a) we plot two graphs one of y=x and another of y=cos(x) and with the help of the graphs we…

Q: 3: Solve ODE Cist Order a. dY

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.