Let C be the curve defined by the equations: ; Find the equation of the osculating plane of C at point whose coordinates are positive integers, such that the tangent line at is parallel to the plane
Let C be the curve defined by the equations: ; Find the equation of the osculating...
uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersection of the cvlinders y -r2 and z - r2 at the point (1, -1,1) (b) Find an equation for the osculating plane of the curve ア(t) 〈cos 3t, 4t, sin 3t) at the point (-1.4T,0). uestion 7[value16jp (a) Find parametric equations for the tangent line to the curve of intersection of the cvlinders y -r2 and z - r2 at the point (1, -1,1) (b)...
Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...
Find an equation for the line tangent to the curve at the point defined by the given value of t. x = sin t, y = 2 sin t, t = wa y = 2x - 213 y = 2x y = 2x + 13 Oy=-2x+ 2/3 Find an equation for the line tangent to the curve at the point defined by the given value of t. x=t, y= V2t, t = 18 y=- X-3 y=+x+3 O y = 1...
Need help with both 4 and 5 4. ㅢ5 points SCalcET8 10.PP.501.XP. A curve is defined by the parametric equations below. Find the length of the arc of the curve from the origin to the nearest point where there is a vertical tangent line. Need Help? Talk to a Tter Read It Submit Answer Save Progress . 15 points SCalcET8 11.PP.006 Find the sum of the series 2 3 4 6 8 9 12 where the terms are the reciprocals...
QUESTION 2 Let C be the curve represented by the parametric equation x(t) = ? +61 +12t+36 yt=+1 Find an equation for the tangent line at the point t-1 on the curve C. Where on the curve is the tangent line vertical? Attach File Browse My Computer QUESTION 3 Express the Cartesian coordinates (-1,1) in polar coordinates in at least two different ways. Attach File Browse My Computer
A detailed explanation would be highly appreciated Question 2 25 (2.1) Consider the vector function C defined by r(t)-ti+2 j. (a) Find the unit tangent, the unit normal and binormal veetors T(t). N(t) and B(t) for C. (6) (b) Find an equation for the normal plane of C at the point (1, 2) (3) (c) Find an equation for the osculating cirele of Gat the turning point of C. (4) (2.2) Reparametrize the curve r(t) (e ,V2t , e) with...
Please answer both questions, I will rate you well! Thanks! 4. 15 points SCalcET8 10.PP501.XP. A curve is defined by the parametric equations below. cos(u) du y= Find the length of the arc of the curve from the origin to the nearest point where there is a vertical tangent line. Need Help? İ-Read it-İLTalk to aTutor Submit Answer Save Progress 5. 15 points SCalcET8 11.PP.006 Find the sum of the series 5 , 7 , 25 , 35 , 49...
7) Consider the surface S: x2 +y2 - z2 = 25 a) Find the equations of the tangent plane and the normal line to s at the point P(5,5,5) Write the plane equation of the plane in the form ax + By + y2 + 8 = 0 and give both the parametric equation and the symmetric equation of the normal line. b) Is there another point on the surface S where the tangent plane is parallel to the tangent...
Find an equation for the line tangent to the curve at the point defined by the given value oft. Also, find the value of dy at this point x=++ cost, y = 1 + 2 sin tt-7 Write the equation of the tangent line. y=-x+ (Type exact ahswers, using as needed)
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point x=16 cost, y = 4 sint,t= The equation represents the line tangent to the curve at t= (Type an exact answer, using radicals as needed.) d²y The value of dx2 (Type an exact answer, using radicals as needed.) att =