about the line x = -2 ソ=2× ソ=2° 1 2

Q: The arc length of the curve r= cos 30 with 0<0<nis попе J V-9(sin 30)² + (cos 30)² d0 I (sin 30)² +…

A: In this question we have to find the arc length of the curve.

Q: Show that the volume of solid formed by revolving one loop of the curve r2 = a? cos20 about the line…

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Q: A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth…

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Q: Find the area of the region inside the circle r = 2 sin (θ + π/4)and above the line r = sec (θ −…

A: Given : Circle   r=2sinθ+π4 and Line  r=secθ-π4   We have to find the Area of the region inside the…

Q: A cantilever beam of length L is embedded at its left end. Find the deflection of the beam when w(x)…

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Q: Find the length of arc of the given curve. 5. R= (sin 2t , cos 2t , 2t³/2), 0 sts1.

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Q: Evaluate the 2 intergrals attached as images with the question.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: An engineer takes a large number of independent measurements of the length of a component and…

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Q: Sketch the solid described by the given inequalities: 0&lt;=r&lt;=2, -pi/2&lt;=theta&lt;=pi/2,…

A: First draw the first two inequality 0&lt;= r &lt;=2 and –pi/2&lt;= theta &lt;= pi/2 in the…

Q: Find the area of the region that lies inside r = 2 + cos 2θ but outside the curve r = 2 + sin θ

A: Given:

Q: How many points are there on the surface 2 dx+y such that the tangent plane to the surface is…

A: We have given the a=6,b=9,c=9 d=max(a,b,c)=max(6,9,9)=9 The given surface is f(x,y,z)=9x2+y2-z We…

Q: Sketch the regions enclosed by the given curves. y=6 cos(4x), y= 6 sin(8x), x - 0, x = T/B y…

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Q: Sketch the curve of r = 3 cos 0 and find the area that it encloses. Show your complete %3D solution.

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Q: The value of cosh(3z+1)dz, where C is the line segment from z=1 C to z= 2i. O a. (-sinh(6i+1)+sinh…

A: We have to find the value of integral,  I = ∮Ccosh(3z+1)dz  ;  where C is the line segment from z=1…

Q: . A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth…

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Q: Find the area of the region that lies inside the curve r = 2+ cos 20, but outside the curve r = 2+…

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Q: 3. Find the area of the surface generated by revolving the curve y = 2/x ,1Sx<2, about the x-axis(as…

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Q: 5Tt in standard position. 6. Sketch 0 %3D

A: Given: Angleθ=5π6, To sketch: The given angle in standard position.

Q: Sketch the region enclosed by the given curves. y = 2 cos(6x),    y = 2 − 2 cos(6x),    0 ≤ x ≤ π/6

A: Find the intersection points:

Q: A projectile is fired from the origin over horizontal ground at an initial speed of 500 m/sec and a…

A: formula used: r=v0cosαti+v0sinαt-12gt2j   it is given that, v0=500α=60°g=9.8t=10

Q: Compute sin (z) dz over the counterclockwise circle (traversed once) with radius 7 centered at Zo =…

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Q: Express the circular function cos+sin as a single cosine with a phase displacement T Rcos (+a) where…

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Q: Find the length of the curve x=1+2sin at, y=3–2 cos at, 0<t<l

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Q: Sketch the regions enclosed by the given curves. y = 2 cos(5x), y 2 sin(10x), x = 0, x = 1/10 2.0…

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Q: Sketch the motion of a particle with position as: x = 5 sint y = ²/-nstsn - St≤n as tvaries in the…

A: We need to plot the motion of the particle, whose position is defined as: x=5sint, y=t2 in the…

Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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Q: find the mside the r= 2a cos curve of region area the outside the r=Q arcle .

A: From given,we have to find the area of the region inside r=2a cos(theta) and outside r=a

Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the…

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Q: Find the length of arc of the given curve. 5. R= (sin 2t, cos 2t , 2t³/2), 0 sts1.

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Q: Find the motion of the mass-spring system in Fig. 72 with mass 0.125 kg, damping 0, spring constant…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: I am going to solve the given problem by finding the arc length of the given parametric curve to get…

Q: ..... The area of the surface generated by revolving the curve x = 1 cos (2t), y = 7+ -sin (2t) on…

A: Follow 2nd and 3rd step.

Q: 6) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1,л,0).…

A: Given :x=sin3ty=2tz=cos3tpoint -1, π, 0

Q: Find the area of the region inside the circle r= 32 cos 0 and to the right of the vertical line r= 8…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: Given : x = cos2ty = cos t0 ≤ t ≤ 4π

Q: x = sin´t, y = cosʻt, 0<t<3™

A: Given x=sin2t, y=cos2t, 0≤t≤3π

Q: Sketch the regions enclosed by the given curves y-4 cos(7x), y- 4 sin(14x), x -D, x-/14 0.05 0.10…

A: The solution of above question is written below.

Q: Determine the speed (in meters per second) of a particle with a trajectory (2 sin (3t), 9 cos (3t)),…

A: Consider the given parametric equation of the trajectory of the particle, 2sin3t,9cos3t so we can…

Q: Find the distance traveled by a particle with position (x, y) as tvaries in the given time interval.…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: In the figure to the​ right, the equation of the solid curve is y equals StartFraction secant…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: The objective of the problem is to find the distance traveled by the particle whose position is…

Q: b) Sketch the graph and find the points on the cardioid r=a(1+cos) at which tangent lines are…

A: Consider the equation of the cardioid, r=a1+cosθ The graph will be,

Q: 10. Find the surface area of the solid generated by revolving the line segment y = vx + 1 , 1 < x <…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

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Q: Find the length of the curve. r(t) = cos(2t) i + sin(2t) j + 2 In(cos(t)) k, osts n/4

A: Given:

Q: 3 dz where C, is the top half of circle with radius (b) Compute the upper bound of 2,

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