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 Oy= 4 cos 40 1 4 sin 40 1

Q: 2. 00 4/7 Step 1 Given: S" 4(5 – 3 cos t) sin tdt - Step 2 We have, 1 = 4(5 - 3 cos t) sin tdt %3D…

A: Given: ∫0π45-3cost13sintdt

Q: 2) find the radius and coordinate center for the equation 2x42y+10y-12х-20-0 3) prove that sin 2x…

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Q: y" +3y' – 2y = e-2*[(20x + 4) cos 3.x + (-32.x + 26) sin 3.x] |

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Q: Instantaneous velocity For the following position functions

A: We know that for any given position functionsst, velocity functionvt is given by vt=ddtst…

Q: 9. The period for the function y=sin(2x-3) is (a) A (b) 4л (c) 2 (d) 37 4 10. For the equation sin…

A: Given  9) y=13sin(2x-3π4)10) sinx=-12 where 0<x<π

Q: 6. Setting æ = cos 0 show that T.(e) = [(- + ivI- =')" + (* - ivī- =')"] n where i = V=1.

A: This immediately follows as a consequence of De Moivres formula which states that e^(it)=cos t + i…

Q: 2T 1 -13 e"/40 cos² e „² dr sin@d0 ¢ do 32na = X 0 Jo Jo

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Q: t2, 0 2

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Q: The equation C = | 0.40 cos 1.20d0 and S= -0.40 sin1.20d0 are involved in the %3D %3D e study of…

A: Use the following formula: ∫θ1θ2eaθcosbθdθ=1a2+b2eaθ(acosbθ+bsinbθ)θ1θ2   Consider the equation for…

Q: Zk 0 + 360°k COS +i sin 0 + 360°k %3D

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Q: 1. The graphs of f(x)= sin(x) and f(x)=tan(x) have the same А. Amplitude and Period В. Zeros С.…

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Q: a) z=cos² (3 xy) onde x=p+eº ey=p²-2e³8 b) z=4x³y onde x=3p²+0² e y=p²-40²

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Q: 1. Eliminate the Arbitrary Constant(s) of the following: 1. by xy'-1; b is constant, 2 y=+de; e and…

A: We have to eliminate the constant in the given equation. Here I am solving first two parts…

Q: A periodic signal is given by r(t) = 3 cos(t) + cos (5t 2n - 2 sin (8t + 3

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Q: The turning moment T on the crankshaft of an engine is given by T= 6+2.5 sin 20– 3.8 cos 20 Find the…

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Q: 7) Suppose cos(x – y) = xy. Find at the following points 7.1) (0, 5) 7.2) (0,– 5)

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Q: Match the graph to the equation. I T 37 47 5n 67 7n 8n 9n 10n11n 12n -1 -2 -3 -4 -5 O y = 4 cos - 1…

A: At  θ = 7π y = 4 cos (θ/4) - 1  y = 4 cos (7π/4) - 1 y = 1.82 which satisfy the graph value of y

Q: Which of the following is a particular solution Yp to y" + 2y' + 2y = cos /2t

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Q: Find the general solution of y" – 4y' + 5y : sin (1)

A: The given differential equation is  y" - 4y' + 5y = e2xsinx

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: e 2*(1 – e *x)- J (arcsin e 2x) cos2 (In arcsin e2x)

A: Given,           ∫e2x1-e4x-12arcsine2xcos2lnarcsine2xdx

Q: 3.1 A particle has a velocity of =cos ( 21)i +sin( 21)j. 3.1.1 Show that the objects' moves with a…

A: Given the velocity of the particle

Q: Q7: Í sin(3z)cos(4z) dz = a)cos z- cos(72) + C b) -tcus x -os(Ix) + C %3D Qe S sin'x cas d = 2).

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Q: 13. Which of the following is the solution of [2x+ycos(xy) dx +xcos(xy)dy = 0 x² +cos(xy) = c b. x?…

A: By see this solution in below

Q: V. Find the general solution of the following Bernoulli's Equation. 1. cosysin2xdx + (cos²y –…

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Q: 1) 土七 COS ant5 Sinant3 an: 2then fird the m lim 3) D. Ehmit does not exist

A: Given query is to find the limit of the expression.

Q: 1. (6 points) Find the general solution to the following equation y" (0) + 3y'(8) + 2y(0) = sin 0 –…

A: The given differential equation is…

Q: a(t) = -7 cos 2t – 8 sin 2t t Find its velocity and position functions at any time t if it is…

A: Given, The acceleration of a body, at=-7cos2t-8sin2t,  t≥0 At t=0 sec, Velocity,v=4 msec  and…

Q: .1 Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

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Q: 2. A particle moves along the x-axis so that at any time t > 0, its acceldration is a(t) t = 0, the…

A: Given,           at=32cos2t

Q: 2л 4) Find | cos 0 d0 using Beta function.

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Q: Which of the following is a particular solution Yp to y" + 6y' + 2y = cos t where Aj are constants…

A: given equation :

Q: A particle moves along the x-axis with velocity given by v(t) = 8 cos (4t) for time t > 0. If the…

A: Given, A particle moves along x-axis with velocity v(t)=8cos(4t), t≥0. Particle at position x=-6 at…

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: What is the equation of the graph below? 2 10 15 -1 -2 -3 O y = 3 sin(x) O y = 3 cos(2x) Oy = 3…

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Q: 9 Jlguull 2(s-1) (s-1)²+9 2et sin3t a O 3e -t cos2t b O e-t cos3tc O .C 2et cos3t d O 3.

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Q: 21 +2.T.0 () +2-т-0 3 • k = 0: V512 ( cos 2 (cos (-) (–)) = 2 cos () – 2i sin () + i sin 3 COS 9. +…

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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: The solution of the following Bernoulli's equation xy' + 2y = x¹(cos x) y² is

A: The correct answer is not given in options.The solution with the correct answer is given as

Q: The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, ±3i.…

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Q: 8. Find a particular solution y,(x) to the equation y" +y – 2y = 5 sin r - in the form yp(x) = c1…

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Q: g. L[cos(3t – 4)] h. L[t³sin(2t)cos(2t)] i. [[te-atsin(at)]

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 :…

A: We will use the definition of derivative to find r'(1) as shown below

Q: 9 3 12 6 cos (x) SSS dx dy dz =| 0 0 4y (Type an exact answer.)

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Q: 7. 3cos (@t – a), where o and a are constants 8. Show that L(cos 23t – sin 2 3t) = s²+36

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Q: e work of a particle moving counter-clockwise around the vertices (2,0), (-2,0) and -3) 3e* F…

A: Greens theorem is used

Q: 4. (a) 5e-2' cos 3t (b) 4e-5t sin t

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Q: -1 (x³+y³ ,3. then xdw dw +y dy If w = tan x-y sin(w) sin(2w) cos(2w) None of these

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Q: Enei Jan-19snk[(2n – 1)8] = %3D Select one: CO a. súnh(sink8) 4 Obsink(sink8) 4 3. o d. sinh(4sink8)

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