3-14. Consider the one-link planar robot shown in Fig. P3.14. If I = 5 cm, sketch the position of the tip of the robot and determine the (x, y) coordinates of posi- tion P for (a) 0 = " rad 4 3n (b) 0 = 4 rad (c) 0 = -135° (d) 0 = - - rad P(x, y)

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A: Find the attachment for the Solution.

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A: Given S as a quadric with equation 4x^2 - (y-3)^2 + 4z^2 = 4 Find a generating curve for S (as a…

Q: 5. [10pts] Compute the arclength of the polar curve r = 2° for 0 < 0 < 27. Give both the exact…

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A: It is given that

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Q: 4. Find the length of the curve having a parametric equation of x = a cos 3 0, y = a sin 20 from 8 =…

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Q: 4. (i) Use the parametric equations of an ellipse, x = a cos (t) , y = b sin (t), 0 < t 2m, to find…

A:

Q: See the circular helix with equation D(t)= (-15 cost,15 sin t,8t). 1. Look for the value of t such…

A:

Q: Match the ellipsoids shown in the figure above with t 1) x2 + 4y + 4z? = 16 2) 4x2 + y +4z? = 16 3)…

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Q: 8.432 5) Setup and find the arclength of y=º from 6 15x54 using trapezoidal rule n=6. Give the final…

A: We have to find out the arc length

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Q: 2. By changing to cylindrical coordinates, evaluate 2 2π Stt. [²* * cos p² sin³ o dp do dô 0

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Q: a) Consider the wave equation π² Un with = UII, -∞<<∞, t≥0 u(z, 0) =sin 7 cOST, u(2,0)=0. Find the…

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Q: A curve passes through point leio) and the Sloge dt line of each point (^,y) is egual to xe-BY .In…

A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent…

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Q: 1. Using the data 2 12 8 9 X = 9. 8 10 1) Find the 95% confidence ellipse for µ = [µ1, µ2],…

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Q: For spherical polar coordinate system 1 Z -Zr Zr 3/2 4/2 a exp(-()sin OCoso 2a px a V WmdV = 8 = ?…

A:

Q: Consider a particle traveling clockwise on the elliptical path                              x2/ 100…

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Q: 4.1.25 Show that the largest inscribed rectangular parallelepiped x2 y? z2 1 36 on the ellipsoid is…

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Q: 29. Find parametric equations for the tangent line to the cur ve of intersection of the paraboloid z…

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Q: In spherical coordinates, the integral •√√4-x²-y² IMM x² /4-22 None of these. 2π *π/2 2 S √²* [*¹²*…

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Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…

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Q: Consider the circular helix with equation R(t) = (12t, 5 cos t, -5 sin t). (a) Find the value of t…

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Q: Problem 8: Determine the sphericity of cylindrical (h=5D) and disc (h =d/3) particles.

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Q: A curve has an equation of 9x2 + 25y2 = 225. Compute the second eccentricity of the curve. %3D 1.33…

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Q: 2. Find a set of parametric equations for a particle that oscillates on the line y = 6x – 5 between…

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Q: 1. The line parametrized by x 7, y = 5t, z = 6+t is parallel to the x-axis. 2. The parametric curve…

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Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

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Q: 4. Consider the circular helix given by 7(t) = (3 cos t, 3 sin t,4t). Give an equation for the…

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Q: 1 If the parametric equatioms are: x= sin-t and y= cos,t, 1 %3D - nstSn 2 then the Cartesian…

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Q: 1-For spherical polar coordinate system Zr Zr (2² exp(- 2a 1 Z. -) sin OCosø 42 `a а Jy„V„dV = 8_ =?…

A: For spherical polar co-ordinate system ψpx=142Za32exp-Zr2aZrasinθcosϕTo find:∫ψpxψpxdV=δxx

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