Sketch the strophoid shown below. r= sec(0)- 2 cos(8), -<0 < x/2 1.0 1.0 0.5 0.5 -10 -0.5 0.5 1.0 -1.0 -0.5 0.5 1.0 -0.5 -0.5 -1.0 -1.0 /2 7/2 1.0 1.0 0.5 0.5 -1.0 0.5 1.0 -1.0 -0.5 0.5 1.0 -0.5

Q: 27. Inside the circle r = 3a cos 0 and outside the cardioidr = a(1+cos 60), %3D %3D a > 0

A: Find the area of the region inside the circle and outside the cardioid, where the equation of circle…

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Q: 1.5 (3-x Evaluate the integral L* dy dx using polar coordinate

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Q: (7) Find the lengths of the curve r =2/(1 - cos 0), a/2<0<n.

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Q: #21 2D Describe the motion of a particle with position as tvaries in the given interval

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Q: 25. Find x, y, e R from 2coshy - 7sinhx = 3 and coshy – 3 sinh? = 2 %3D %3D

A: Find x and y.

Q: Eliminate the arbitrary constant/s of this equation to obtain the DE. Express the DE in general…

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Q: : Find the length of the cardioid r = 1 + cos 0 0 < 0 <T

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Q: 1. If H(y) = cos y – sin y, Find H (0), H (),H (1T), and also show that %3D + x) = H (T – x) = -H…

A: Given that H(y)=cosy-siny find H(0), Hπ2, Hπ Show that  Hπ2+x=Hπ-x=-H-x

Q: 10 - f sin(82) arctan(sin 4x) da integralinin değeri aşağıdakilerden hangisidir? a) O T-2 b) - 8 8(T…

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Q: Evaluate. d [arctan a – In ¤] dæ 1 1+#? 1 sec2 x sec² ¤ 1-x²

A: As we know that: The sum rule: f±g'=f'±g' The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1…

Q: S-) Find the general soluhon of sin'x y"-(25inx.cos x)y'+ Ccosx+1)y = Sih? x given that y-sihx and…

A: Please check step 2 for solution

Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -;…

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Q: a) u=r³-3ry² + 2xy + x, D) u= x² - y² +5, c) a= sinh rsing, d) u = e(y cos y + x siny), e)…

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Q: 1.5 3-x Q1) Evaluate the integral * dy dx using polar coordinate

A: As per policy, we are solving only Question 1, Please post multiple Questions separately. (1) We…

Q: b)A hanging chain has the b)F Shape y=3C0sh(3x), o 4X sIn2 calkulate the lengnt of the chain.

A: Length of chain is the same as length of curve

Q: 9. Using n= 8 approximate the value of cos(1+Vx )dx using (a) the Midpoint Rule, (b) the Trapezoid…

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Q: x = a(0 – sin 0), y = a(1 – cos 0). %3D %3D urve followed by the particle as a function of 0.

A: The given parametric equations are, x=a(θ-sinθ)...............(1) y=a(1-cosθ) .............(2)

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Q: Find the linear approximation to g(z) = cos(z + 1) at z = 0. Use the linear approximation to…

A: The formula to find the linear approximation Lz of a function fz at the point z=z0 Lz=fz0+f'z0z-z0

Q: (c) The displacement, x, of a particle in simple harmonic motion is given by x = cos(3t) – sin(3t).…

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Q: The equation below is said to be 3 dy (x² – 1) \dx, sin x — х - + ye2x+1 %3D O A. Linear and…

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Q: The acceleration ā of a particle at any time t is given by à = e-2 î + 3t ĵ+cos t k , then the…

A: The acceleration of a particle is given by a→=e-2t i^ + 3t j^ +cost k^  v(t) = ∫a(t) dt = ∫(e-2t i^…

Q: d the area of the surface generated by revolving the curve x =cos (2t), y = 7+ sin ( 2° - xis. .....…

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Q: 9. Find the length of the curve: r = 1+ cos(20),0 < 0 s 2n

A: given equation of curve r=1+cos(2θ)   , 0≤θ≤2π as per our guideline, we are supposed to answer the…

Q: The cart in the figure below weighs 64 pounds and is attached to the wall by a spring with spring…

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Q: 1 sketch The graphs O v= 1 between B=o-360 Ov =1+ Sin8 %3D 2 v 2(1- Cose) 3. 5r=I+ Cose

A: We are only allow to solve first three subpart of questions if you need rest of answere then please…

Q: 29 sin z Find all the singular points and the corresponding residues of 210 Res at z =

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Q: The equation for the sinusoidal graph below is: f(x) = 4sin(2x) 3sion (2) 1 f(x) = 3sin f(x)=2sin…

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Q: .Inside the outer loop of the limason r 1-2 cos e

A: Given that r=1-2cos(theta) We have to find area.

Q: Q1: Find the length of the cardioid r= 1 + cos 0 0 < 0 <T

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1.) Evaluate In 2 e*2arctan e* J (1+ e2x) sec(2arctan e*)' А.) -dx. ežr(1 – e*r)- (arcsin e 2x) cos²…

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

Q: The function z = cos 0, y = sin³ 0 where 0 < 0 < 27. Use the x2 Vy is defined on the astroid x = dz…

A: The chain rule is stated as follows:

Q: Solve the Bernoulli's equation given below: dy -ycot 2x dx 3 CSC 2x ( )」 Sn 2メ= ーメキC a. C-2) Sin 2x…

A: We have to solve the Bernoulli's equation  By convert Bernoulli's equation in First order linear…

Q: Determine an equation for the sinusoidal function shown. 2. 12 21 Oy = 0.5 cos[0.5(x+ x)] + 1.5 Oy,…

A: The general equation of a sin function is given by; y=A cos(Bx+C)+D Where; A→Amplitude of the…

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Q: Family of verial parhols whoe verios lie n te oma ine othe cure y' -1y'+0s (19) = at COS (0.).

A: We are given that x0=0, y0=1. The slope of the normal line at (x,y)=(x0,y0) is the negative…

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Q: Solve the Bernoulli's equation given below: dy 2 dx -y cot2x = y' csc2x O A. [(y )^(- 2)] sin 2x = -…

A: Use Bernoulli theorem to solve

Q: Example B Consider the inhomogeneous equation Yk+1 – 2yk coS Ø + Yk-1 = Rx, sin ø # 0, %3D

A: Given           yk+1-2ykcosϕ+yk-1=Rk  ,  sinϕ ≠0       ... (1) where ϕ is constant and Rk is…

Q: Let 1 = , x² cos(x) dx. The approximation of I using the two-point Gaussian quadrature formula is:

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Q: 1 In AABC, AB = xcm, BC=(4- x)cm, ZBAC=y and ZBCA = 30°. Given that siny show that =D4(v2-1) (5…

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Q: 7. Find the length of the curve: r = 1 + cos 0

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Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30 b. Shared by the circle r=2 and…

A: Given that a) r=cos(3theta) b) r=2 and r= 2 (1 +sin(theta)) c) r=-3cos and r=1-cos( theta) We have…

Q: * sin" (3y) cos" (3y) dy 10 (3y) dy COS 15360 111546435 256 156009

A: Given:   Given:    ∫0π6sin133ycos103y dy

Q: つt E sinx+C c) つtve-us つtとX-tu(u 1- CoS 3> (0 とuse -In Sa-x² tc 1) AEvaluate valvate

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Q: Sväsin(x³/2)dx= 2 들Cos(x3/2) +C A 2 -을cos(x3/2) + C B 2 O -2cos(x³/2+Cc) C D) 을/Xcos(x3/2) + C

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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