Зл The parametric curve x = 7 sin 2t and y = 9 cos 2t, where , traces the ellipse 49 = 1 81 a. 3 times clockwise b. 6 times counterclockwise c. 6 times clockwise d. 3 times counterclockwise
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- determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T = (3*sqrt(2))/2 , sqrt (2) )Obtain the center of gravity of the skin of the rotating object that occurs if the arc y = √9 - x2; (0≤x≤3) is rotated on the x-axisThe parametric curve x=2sin(t)+2, y=3cos(t)-2 describes a clockwise traveling vertical ellipse with centered at (2,-2). T or F?
- The unit circle x^2 + y^2=1 can be written in parametric form as x=cos(θ) and y=sinθ. Find dy/dx and hence find the stationary points.Obtain the plane curve represented by the parametric equations below. Cycloid: x = 3(t-sint), y = 3(1-cost); 0 ≤ t ≤ 8πWithout using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t) lies on the surface with equation x2 + y2 − z2 = 0 and sketch the curve.
- the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise rotation. Alter one or both equations so that you obtain the same curve with the opposite orientationIf I have a pair of parametric equations x=20cos(t) and y=10sin(t) How can I increase the speed of the particle moving in these path x2/400 + y2/100=1How would I find T(pi/4)? Also how would I find the set of parametric equations for hte line tangent to the space curve at point P?
- Find parametric equations for an object moving clockwise along the ellipse (x2/25)+(y29)=1 beginning at (0,3) and requiring 4 seconds for a complete revolution.Find the parametric equations for the path of a particle that travels three quarters of the way around the circle (x+2)2 + y2 = 9 starting at (-2, 3) and moving clockwise.Find parametric equations for the surface generated by revolving the curve y = 1/x about the x-axis.