6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the c...

Question

Question

6. -1.25 points My Notes Evaluate (y 3 sin x) dx + (z2 +7 cos y) dy x3 dz COS JC where C is the curve r(t) - (sin t, cos t, s

math calculus

Answer 1

Answer #1

T- 87 9A SA 下15 ad 12 9 2

Answer 2

Similar Homework Help Questions

Use Stokes' Theorem to evaluate sta curl F. ds. F(x, y, z) = xyzi + xyj...

Use Stokes' Theorem to evaluate sta curl F. ds. F(x, y, z) = xyzi + xyj + x2yzk, S consists of the top and four sides (but not the bottom of the cube with vertices (+3, +3, +3), oriented outward. Need Help? Read It Watch It Talk to a Tutor Submit Answer 33. [-/2.5 Points] DETAILS SCALC8 16.8.018. MY NOTES ASK YOUR Evaluate le (y + 5 sin(x)) dx + (z2 + 3 cos(y)) dy + x3 dz where C...
calculus 3 Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8....

calculus 3 Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8. Evaluate L Tar LAami Jum er Z01J -z2 z sin x dy dz dx 1 8. Evaluate L
Evaluate ∫∫∫T 2xy dx dy dz where T is the solid in the ﬁrst octant bounded...

Evaluate ∫∫∫T 2xy dx dy dz where T is the solid in the ﬁrst octant bounded above by the cylinder z = 4 − x^2 below by the x, y-plane, and on the sides by the planes x =0, y = 2x and y = 4. Answer: ∫ (4, 0) ∫ (y/2, 0) ∫ (4−x^2, 0) 2xy dz dx dy = ∫ (2, 0) ∫ (4, 2x) ∫ (4−x^2, 0) 2xy dz dy dx = 128/3

4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy....

4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
. 0 -15.55 points ZiICAnalysis3 5.1.011 Evaluate the line integrals G(x, y) dx, G(x, y) dy,...

. 0 -15.55 points ZiICAnalysis3 5.1.011 Evaluate the line integrals G(x, y) dx, G(x, y) dy, and G(x, y) ds on the indicated curve C. G(x, y)-2xy; x-3 cos(t), y-3 sin(t), o s t s G(x, y) dx G(x, y) dy G(x, y) ds Practice Another Version We were unable to transcribe this image
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< 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 с where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk

Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:

Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and...

1a) Find dy/dx x = te', y = t + sin t b) Find dy/dx and d’y/dx2 for which t is curve concave upward x = x3 + 1, y = t - c)Find the points on the curve where the tangent is horizontal or vertical. Draw the graph x = 13 – 3t, y = t3 – 312 d) Find the area enclosed by the x-axis and the curve x = t3 + 1, y = 2t – t?....
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evalu...

3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...

Let C be the closed curve defined by r(t) = costi + sin tj + sin...

Let C be the closed curve defined by r(t) = costi + 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 +22)j + xk