Let the curve C in the (x, y)-plane be given by the parametric equations x =...
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 4 In(t), y = 6/t, z = t4; (0,6, 1) x(t), y(t), z(t) = X
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = In 1+ k, t=to=4 What is the standard parameterization for the tangent line? X= y = ZE (Type expressions using t as the variable.)
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (5+?) 1+ (2t - 1)]+(31') k, t=to = 3 What is the standard parameterization for the tangent line? X = y = ZE (Type expressions using t as the variable.)
find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=10cost, y=10sint, z=8cos2t; (5sqrt3,5,4)
Find parametric equations for the line that is tangent to the given curve at the given parameter value. Question Help (t)= (5 cost)i+(4 - 4 sin t).i+ (20), t=0 What is the standard parameterization for the tangent line? X y = Z- (Type expressions using t as the variable)
(b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to the curve from above. point in the anti-clockwise direction when viewed Calculate the line integral (e (e sin y+ 4) dy+(e(cos z+ sin z)+ay) dz. cos x2yz) dx + (b) Let C be the closed curve formed by intersecting the cylinder x2 +y= 1 with the plane x z= 2. Let the tangent to the...
1. a. Consider the curve defined by the following parametric equations: r(t) = et-e-t, y(t) = et + e-t where t can be any number. Determine where the particle describing the curve is when tIn(3) In(2). 0, ln(2) and In(3). Split up the work among your group Onex, vou l'ave found i lose live polnia, try to n"惱; wbai ille wlu le curve "u"ht lex k like. b. Verify that every point on the curve from the previous problem solves...
Find parametric equations for the line that is tangent to the given curve at the given parameter value. r(t) = (2 cos t) + (9-2 sin t))+(0) What is the standard parameterization for the tangent line? t=0 (Type expressions using t as the variable.)
Question 6 14 pts Consider the curve C defined by the parametric equations: x f(t) y= g(t) = sint -t costt (d) Which picture shows the curve C? Recall the curve C is defined by : x= f(t) cos t g(t) = sint - t y 20 20 10 10F 0 -10 -10 -20 -20 -20 10 -20 10 C 20 -10 0 10 (i) (ii) X 20 20 10 10 0 0 10 -10 -20 -20h -20 10 -20...
112 PUINIS PREVIOUS ANSWERS SLALLE 15.2.07. Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t. y = e-4, z = 5t - ; (0, 1, 0) (X(t), y(t), z(t)) =(