1000e-100t dt - 1000e –100t Cos 300t dt

Q: x" + 4x' + 5x = 10 cos 3t; x(0) = x'(0) = 0 %3D

A: (11) Consider the differential equation x''+4x'+x=10cos3t and x0=x'0=0 Write the auxiliary equation…

Q: 8 +10x-32+x? cos 2x 4 Find : (a) y = %3D x2

A: Given y we have to find dy/dx as shown below

Q: 3) √ √6x-x² dx a) 12 (x-3) √ 6x-x² + 2 arcain 2/ arcain X=² X-3 te 3 (x+3) Gx-x2+gain x3tc 3 c) —…

A: solution

Q: 6. y" + 3y'-2y e-2* [(4+20.x) cos 3x+ (26-32x) sin 3x]

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Q: х+у+2z %3D0 Solve x — у + z%3D —1 2х + у +z %3D 2 by Gaussian elimination. а. (1,-1,-1) b. (1, 1,…

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Q: x4) - 2x" - 3x= t sin (4t) Let x, = x, x2 = x', x3 =x", and x4 =x). Complete the system below.

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Q: (1) / 25 5 + 7x dx √x T/3 1+(cos0)² de (cos 0)² √3/³ 1 + (3) √x-4\dx

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Q: Ex. 630. Refer to Fig. 630. Let n=84 Assign phase variables: x1=y and x2=Dx1dot. Determine the state…

A: Given: y. .+ny.+y=ud2ydt2+ndydt+y=u

Q: 1 -5e iwt dt + -jwt | 5e -jwt dt -1

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Q: (1) (II) 10 F. 10 +t 10 10 -10 -10 (II) (IV) 10 10 斗t 10 t 10 -10 -10 a) y = 10e-t/2 cos 2nt b) y =…

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Q: Guestion Cos 2 dyelz

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Q: メ- 148 %3D E = 0-91 %3D Level of Con fidence

A: Given : Sample mean (X¯) = 148 Margin of Error (E) = 0.91 Level of confidence = 95%

Q: 2 8. y' + ²y = -x²y² cos x

A:

Q: 2) x- 2y = x°cos4x

A: Given differential equation is -   xdydx-2y=x3 cos 4xDivide throughout by x we get-dydx-2xy=x2 cos…

Q: = 15 - 3e-2t cos 3.464t - 1.732 e-2tsin 3.464t v(e) %3D

A: Find your answer below

Q: fi = sin(6x,)+ cos(4.x, )–1.5x, = 0 f2 = e* +6x, + 4x, = 0 f, = x, – x, +3x, = 0 Use the initial…

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Q: What should the u be for the following?

A: 37) The value of u in the given integral is assigned and the integral is evaluated as follows.

Q: 5. Consider the second order ODE: u" + 0.25u' + 4u = 2 cos(3t) Transform the ODE into a system of…

A: Given below the detailed solution

Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

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Q: ∫ cos 2θ cos 6θ dθ Lattice Method

A: Lattice method is used in numerical multiple.

Q: Solve the 2 × 2 ODE system dr -x³ + Y• dt dy dt

A: Given 2×2 ODE system, dxdt=-x3+ydydt=-y3-x Since both the functions -x3+y and -y3-x are…

Q: Different Equation 1. (cos(x) — 2xy) + (e^y -x²)y' = 0; y(1) = 4 2. y' = 3x² -2; y(1) = 5

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Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

Q: f(0) = -2sin(2(0- 45))+1 Centerline: Max y: Amplitude: Min y: Period: Frequency: Phase Shift:…

A: The general form of a sinusoidal function is y=A sinBx+C+D. Here A is the amplitude, C is the phase…

Q: fcos xdx cos xdx 2 Jcos xdx 2. 4)

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Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

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Q: Fnd general solation:. Cosx x2

A: Given: y'+2xy=cosxx2

Q: &. y = -2 co0(2 -) 7. y = -3 sin 2r + 9. y = 4 sin ( mX 11. y = 3 cos ( TX 2) + 5 12. y = 2 cos (2nx…

A: I have provided solution in step2.

Q: sin –9xdx

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Q: L{3e2tsin4t – 4e2"cos4t} 16(s-2) (s-2)2+16 4(s-2) a. (s-2)²+16 3. b. (s-2)² +16 12 (s-2)2+16 4(s-2)…

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Q: 8. / (V80 – x² 0.3 cos(1.2x + 1.3) + 5) dx -

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Q: 1. L{e³t+cos 6t - e³t cos 6t}

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Q: 7. What is the domain of cosecant function? A. R except kn B. [-1,1] C. [-1,2] D. [-1,3] 8. Which of…

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Q: || cos( 30-1 )d0:3 cos( 30-1 )d0>=S2.cos cos (30 -1) de

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Q: 1. [5an2f elan 28 sec² 2 Båß 3. e +1 2x e2x +2e* dx e* +1 4. |(30shm +ecoshm' 2.

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Q: QIN Evaulate : f v2 + cos4t sin4t dt

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Q: 2. 3. ત્ર 6 -1 cos²2x dx X - dx

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Q: 4s+5 b) Find L[eª“ f' (=cos 2) dt] and L-1 l(s-1)²(s+2)]

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Q: cos (2x direct method Solue cos(2X + 3y) by こ

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Q: 1- ( 5*-1)d xt (2xy-SinyJelya0

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

Q: - 7x +2 g (x) = (x + 1) (x – 5) h(x) = -2 cos x+5 y = 4(x + 1)³ –7 x2 y = 4*+2 f (x) = -3x° + 6x¬² –…

A: To organize the following equations a polynomial or non polynomial.y=15x4-7x+2gx=x+1x-5y=5x2hx=-2…

Q: e -3 E y, Ax2 e-3* cos(4x) + Bx2 e4* sin(-3x) F yp = [Ax³ + Bx2 + Cx]e-3x

A:

Q: 51²e-31 – e121 cos 8t 10 (s+3) 3-12 (১-12)-64 10 s-12 ((-122+64 (s+32 10 (s+32 s-12 (-127-64 10 s-12…

A: lets see the formulas we are going to use here L{ tneat } =n!(s-a)n+1               ⋯⋯⋯(i)L{ e-at }…

Q: 1- [(4 sin(3t)i + 4te j + (2t + 3t² )k )dt

A: See the details solution in below

Q: ylo) >3 y'lo) : -s g"Co) » 1 y" Co) = -23 yu Co) = 47

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Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: 2. [ (1–3x)sin(}x)dx 4w dw 3. [* w°e™ dw w²e* -1

A: This question is taken from the definite integral in which we have to find the integral of the given…

Q: 19-20 Find dx/dt. 19. x = 12 - 1

A: x= t2 -t dx/dt is differential of x w. r. t to time

Q: 1) cos(s*)dtds

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.