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Question 6 (1 point) The parametric equation for the y-axis is: Ox=0 y =t z =...
5. Which is the graph of the following parametric equation? (1 point) 2 x-E and y 2-3 .y t-4 5 t-4 3- 2- 3- 2- 5 -4 -3 -2 10 -1 2 3 4 t-1 t=0 it 6: Parametric Functions 6 3 2- 1- -5-4-3-2-1.0 -1 -2 -3 t 0 2- t= 16 2 4 -3 2 1 12 3 4 5 -1 1 -2 -4 ametric Functions Test 6: Parametric Functions t 16 1- 1/2 3 4 5 -1...
Write the parametric equation for the curve 9 = (x-5)H(y+1)2 And x(t) v(r) Graphs of z(t) and y(t) are shown in the preceding figure Which figure shows the graph of parametric curve c(t)- (z(t), (t))?
Let L be the line with parametric equations x=-5 y=-6- z=9-t Find the vector equation for a line that passes through the point P=(-3, 10, 10) and intersects L at a point that is distance 5 from the point Q=(-5, -6, 9). Note that there are two possible correct answers. Use the square root symbol 'V' where needed to give an exact value for your answer. 8 N
osts 1 = e' sint y=e' cost parametric equation of the curve part; a) find the length, b) Find the area of the surface formed by rotating it around the Ox- axis.
12. For this question consider the parametric equation x = 2t +1, y = - 4 a. Graph fort in (-3,2] 6 1 G-21 . 3 0 2 b. Write an equivalent rectangular equation for the curve. Proctorio is sharing your screen Stop sharing o i
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0 (12(8 pts) Find parametric equations of the line through the point (2,...
Find the point at which the line with the parametric equations x-1-1, y=1+1, z intersects the plane with the equation X-y +3.2-4.
Question 8 Find an equation for the tangent plane and parametric equations for the normal line to the surface at the point P. Р 14 Tangent Plane: z= Edit Normal Line: X(t) = ? Edit y(t) = Edit z(t) = 1-t
(1 point) Give a vector parametric equation for the line through the point (0, -3, -3) that is parallel to the line (4 + 4t, -4 – t, t – 3): L(t) =
Consider the following parametric equations. x = √1 + 2 , y = 2√t; 0 ≤ t ≤ 16 a. Eliminate the parameter to obtain an equation in x and y. b. Describe the curve and indicate the positive orientation.