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Consider the parametric equations below. x = 2 + 4t y = 1-t2 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve. y = _______ Consider the parametric equations below. x = 3t - 5 y = 2t + 4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the...
Use the given graphs of x =f(t) and y = g(t) to sketch the corresponding parametric curve in the xy-plane. 1341
Use the given graphs of x= f(t) and y = g(t) to sketch the corresponding parametric curve in the xy-plane. AX g Choose the correct sketch below. OA OB. OC. OD. 3-
1. Sketch the curve given by the parametric equations: (please use dashed lines on graph f or t beyond ) by eliminating the parameter ?. Label the direction a point on the curve moves as ? increases. PLEASE GIVE FULL WORKING FOR THE QUESTION. We were unable to transcribe this image4
Problem #2: Use the given graphs to sketch the parametric curve x =f(0, y=g(1). х=f(t) y=g(t) A m KA (А) (В) о (D) у х 1 0 2 х E) (F) ТО -1 о 2 (Н) 2 -2 2 х Problem #2: Select
7. Use the graphs of ſand g to sketch the parametric curve x = f(0, y = g(). Indicate the direction of motion and the initial and terminal points. 2f0 4
1.) Given: x=5cost and y=2sint a. Sketch a graph of the parametric curve by eliminating the parameter and Label orientation. Show all work. b. Determine dy/dx and d^2y/d^2x Show work and simplify your answers. Express answers in terms of “t”
please answer all parts. ) Given the function rt) (3+t)i+ VI-Ij a) Calculate r'(). b) Convert r(t) to a function in the form y f(x). c) Sketch the graph of y f(x). d) Use the tangent vector r'(5) to find the orientation of the curve and show the direction of the graph in step c). ) Given the function rt) (3+t)i+ VI-Ij a) Calculate r'(). b) Convert r(t) to a function in the form y f(x). c) Sketch the graph...
A pair of parametric equations is given. x = y=t+3 (a) Sketch the curve represented by the parametric equations. -10 5 -10 5 10 -10 -51 5 10 * -10 -5 MM 5 10 (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter.
7. (14,5) A particular parametric curve is given by x=1-3, y = 21 +3 for -2 515 3. Sketch the curve using arrows to indicate the direction in which the curve is traced as increases. Then eliminate the parameter / to find a Cartesian equation of the curve. 8. (10,4) Find the equation of the plane through the point (-5, 4, 2) and with normal vector-31 +4j - k. Give your answer in both the vector equation of a plane...