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-...
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))?
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
(1 point) Find the point of intersection of the two linesh : x = 〈10, 18, 3〉 + t 〈4-k-2) and 12 : X = 〈 18, 19, 20) + t 〈 Intersection point: 4, 0-5) (1 point) The plane π is defined by the vector-parametric equation π : x(s, 1-(1,-8,6) + s 〈-1,-4,-3〉 + 1 〈3,-4,0). Find an equation for π in general form Plane equation (1 point) Find the point of intersection of the two linesh : x...
25. Given the following parametric curve X(t) = -1 + 3 cos(t) y(t) = 1 + 2 sin(t) 0<t<21 a) Express the curve with an equation that relates x and y. 7C b) Find the slope of the tangent line to the curve at the point t c) State the pair(s) (x,y) where the curve has a horizontal/vertical tangent line. 27.A particle is traveling along the path such that its position at any time t is given by r(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.
Could you label and explain how to get each term? Thank you! 3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following function, using information such as intervals of increase and decrease, relative extrema, intervals of upward and downward concavity, and inflection points: g(x) 3x4 +4.x Pro):-I -2 16 3 a7 al 16 min(-1,-1) y " 30+24K: 12x(3x+2) t ip. (oo) 2 3 3. Find the equation of the tangent line to...
5. What is the derivative, and, of the parametric equation x = cost), y = et? A since -sin(t) C -sin(t). Det E There is no derivative. 6. Determine the integral which computes the volume of the solid formed by rotating the region bounded by y = 8-23, y = 0, and x = 0 about the x-axis. A B L=(8 – rød (** (3 – 20)? do +(8 – 23) dx 1 =18 # (8 – 2) da Ω...
Which of the following integrals represents the length of the parametric curve x = 1+e', y=t, -3 <t< 3, about the X-axis? A. Vet? + 4t2 dt 3 B. V2et + 4t2 dt Ve2t + 4t dt D. Vet + 4t2 dt U V2e + 4t dt 3 F. . Vet + 4t dt
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,...
Graph the following parametric equation (provide at least 3 data points). 9) x = 2 cost, y = 2 sin t, i sts 21