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26. What is the angle between the tangent to the curve R(t) = ti + 1?j...
(1 point) A parametric curve r(t) crosses itself if there exist t s such that r(t)-r(s). The angle of intersection is t...
(1 point) A parametric curve r(t) crosses itself if there exist t s such that r(t)-r(s). The angle of intersection is the (acute) angle between the tangent vectors r() and r'(s). The parametric curver (2 -2t 3,3 cos(at), t3 - 121) crosses itself at one and only one point. The point is (r, y, z)-5 3 16 Let 0 be the acute angle between the two tangent lines to the curve at the crossing point. Then cos(0.997
(1 point) A...
Consider the following. z = x2 + y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the tangent line to the curve of intersection of the surfaces at the given point. x − 6 12 = y + 1 −2 = z −...
Consider the following. z = x2
+ y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the
tangent line to the curve of intersection of the surfaces at the
given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z
− 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
Hi need help for these Questions: a. Given f = yi + xzk and g = xyz2, determine (∇ x f ) . ∇g at the point (1,0,3) b. Point A lies on the curve r(t) = 2 cos t i + 2 sin t j + t k for the range 0 ≤ t...
Hi need help for these Questions:
a. Given f = yi + xzk and g =
xyz2, determine (∇ x f ) .
∇g at the point (1,0,3)
b. Point A lies on the curve r(t) = 2 cos t i +
2 sin t j + t k for the range 0 ≤
t ≤ 2π . At point A, the tangent vector is T = -
21/2i +
21/2j + k. Determine
the co-ordinates of point A and...
Let z = x2 + y2 be the surface, and x = -1+t, y = 2+t,...
Let z = x2 + y2 be the surface, and x = -1+t, y = 2+t, z = 2t + 7 be the line. Find the incorrect answer in the following Select one: The acute angle between tangent to the surface and the given line at the -1 4 point (0,3, 9) is į – cos V537 The normal to the surface at the point (0,3, 9) is 6 j - k. The line is normal to the surface. The...
Let z = x2 + y2 be the surface, and x = -1+t, y= 2+t, z...
Let z = x2 + y2 be the surface, and x = -1+t, y= 2+t, z = 2t + 7 be the line. Find the incorrect answer in the following 4 Select one: The acute angle between tangent to the surface and the given line at the -1 point (0,3,9) is į – cos V6 37 The normal to the surface at the point (0,3, 9) is 6 j-k. The line is normal to the surface. The line intersects at...
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j +...
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j + h(t]k at t= to is the line that passes through the point (f(t):(to)."(to) parallel to (to)the curve's velocity vector at to User (to) and (t) to find parametric equations for the line that is tangent to the given curve at the given parameter value t= to (1)-(31²)i + (4 + 3)j + (52) 10-3 What is the standard parametrization for the tangent line? yo...
Please explain all steps. Need to understand. Thanks Let C be the closed curve defined by...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
PLEASE SHOW ALL WORK AND EXPLAIN BOTH PARTS. Thanks Let C be the closed curve defined...
PLEASE SHOW ALL WORK AND EXPLAIN BOTH PARTS.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
The parametric curve r=(2t2+8t−5,−2cos(πt),t3−28t)r=(2t2+8t−5,−2cos(πt),t3−28t) crosses itself at one and only one point. The point is (x,y,z)=(x,y,z)= ( , , ). Let θθ be the acute angle between the...
The parametric curve
r=(2t2+8t−5,−2cos(πt),t3−28t)r=(2t2+8t−5,−2cos(πt),t3−28t) crosses
itself at one and only one point. The point is (x,y,z)=(x,y,z)= ( ,
, ). Let θθ be the acute angle between the two tangent lines to the
curve at the crossing point. Then cos(θ)=cos(θ)=
(1 point) The parametric curve r (2128t 5,-2 cos(t), 281) crosses itself at one and only one point. The point is (x.y,z- Let 0 be the acute angle between the two tangent lines to the curve at the crossing point....
4. Let C be the closed curve defined by r(t) = costi + sin tj +...
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. F. dr (b) (20 pts] By using Stokes' Theorem, evaluate the line integral| " where F(t,y,z) = (y2 + cos z)i + (sin y+z)j + tk
(1 point) A parametric curve r(t) crosses itself if there exist t s such that r(t)-r(s). The angle of intersection is the (acute) angle between the tangent vectors r() and r'(s). The parametric curver (2 -2t 3,3 cos(at), t3 - 121) crosses itself at one and only one point. The point is (r, y, z)-5 3 16 Let 0 be the acute angle between the two tangent lines to the curve at the crossing point. Then cos(0.997
(1 point) A...
Consider the following. z = x2
+ y2, z = 36 − y, (6, -1, 37) (a) Find symmetric equations of the
tangent line to the curve of intersection of the surfaces at the
given point. x − 6 12 = y + 1 −2 = z − 37 −1 x − 6 1 = y + 1 12 = z
− 37 −12 x − 6 = y + 1 = z − 37 x − 6 12 =...
Hi need help for these Questions:
a. Given f = yi + xzk and g =
xyz2, determine (∇ x f ) .
∇g at the point (1,0,3)
b. Point A lies on the curve r(t) = 2 cos t i +
2 sin t j + t k for the range 0 ≤
t ≤ 2π . At point A, the tangent vector is T = -
21/2i +
21/2j + k. Determine
the co-ordinates of point A and...
Let z = x2 + y2 be the surface, and x = -1+t, y = 2+t, z = 2t + 7 be the line. Find the incorrect answer in the following Select one: The acute angle between tangent to the surface and the given line at the -1 4 point (0,3, 9) is į – cos V537 The normal to the surface at the point (0,3, 9) is 6 j - k. The line is normal to the surface. The...
Let z = x2 + y2 be the surface, and x = -1+t, y= 2+t, z = 2t + 7 be the line. Find the incorrect answer in the following 4 Select one: The acute angle between tangent to the surface and the given line at the -1 point (0,3,9) is į – cos V6 37 The normal to the surface at the point (0,3, 9) is 6 j-k. The line is normal to the surface. The line intersects at...
12.1.24 Question Help The tangent line to a smooth curve r(t) = f()i + 96)j + h(t]k at t= to is the line that passes through the point (f(t):(to)."(to) parallel to (to)the curve's velocity vector at to User (to) and (t) to find parametric equations for the line that is tangent to the given curve at the given parameter value t= to (1)-(31²)i + (4 + 3)j + (52) 10-3 What is the standard parametrization for the tangent line? yo...
Please explain all steps. Need to understand.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
PLEASE SHOW ALL WORK AND EXPLAIN BOTH PARTS.
Thanks
Let C be the closed curve defined by r(t) = cos ti + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral / F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y + x2)j + xk
The parametric curve
r=(2t2+8t−5,−2cos(πt),t3−28t)r=(2t2+8t−5,−2cos(πt),t3−28t) crosses
itself at one and only one point. The point is (x,y,z)=(x,y,z)= ( ,
, ). Let θθ be the acute angle between the two tangent lines to the
curve at the crossing point. Then cos(θ)=cos(θ)=
(1 point) The parametric curve r (2128t 5,-2 cos(t), 281) crosses itself at one and only one point. The point is (x.y,z- Let 0 be the acute angle between the two tangent lines to the curve at the crossing point....
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t<2n. (a) [5 pts] Show that this curve C lies on the surface S defined by z = 2.cy. F. dr (b) (20 pts] By using Stokes' Theorem, evaluate the line integral| " where F(t,y,z) = (y2 + cos z)i + (sin y+z)j + tk
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