Please do like
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.
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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
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...
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...
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. 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
you can skip question 1
Sketch the graph of x(t) sin(2t), y(t) = (t + sin(2t)) and find the coordinates of the points on the graph where the tangent is horizontal or vertical (please specify), then compute the second derivative and discuss the concavity of the graph. 1. Show that the surface area generated by rotating, about the polar axis, the graph of the curve 2. f(0),0 s asesbsnis S = 2nf(0)sin(0) J(50)) + (r°(®)*)de Find an equation, in both...