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Vector Calculus. Please show steps and explain. Thank you, will
thumbs up!
5. Let RC R2...
Vector Calculus. Please show steps, explain, and do not use calculator. Thank you, will thumbs up!...
Vector Calculus. Please show steps, explain, and do not use
calculator. Thank you, will thumbs up!
3. In this problem, let S be the surface defined be the equations: x2 + y2 + z2 = 1 and x2 + y2 < 1/2 (a) (1 point) Find a parametrization of S 0: DR3 where DC R2 (Hint: use spherical coordinates). (b) (2 points) Use part (a) to find the area of S. (c) (1 point) Let F: R3 R3 be the...
I lost in this I need help please thank you 10) [12;8] Let F =(x² -...
I lost in this I need help please thank you
10) [12;8] Let F =(x² - y, x) and C is the boundary of the closed region that is the bounded by the y-axis and the left half of the circle x² + y2 = 4. Assume counterclockwise orientation. (a) Find the work done by this force field on a particle that moves along C, without using Green's Theorem (that is, do it as line integrals: be careful with how...
please solve all thank you so much :) Let C be the curve consisting of line...
please solve all thank you so
much :)
Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
(a) Let S be the area of a bounded and closed region D with boundary дD of a smooth and simple cl...
(a) Let S be the area of a bounded and closed region D with boundary дD of a smooth and simple closed curve, show that S Jlxy -ydx by Green's Theorem. (Hint: Let P--yandQ x) (b) Let D = {(x,y) 1} be an ellipse, compute the area of D a2 b2 (c) Let L be the upper half from point A(a, 0) to point B(-a, 0) along the elliptical boundary, compute line integral I(e* siny - my)dx + (e* cos...
Help. Cant figure this one out. I keep messing up somewhere. please sent full steps. THANKS...
Help. Cant figure this one out. I keep messing up somewhere. please
sent full steps. THANKS IN ADVANCE. I will thumbs up!
9. Let F(x, y) = P(x, y) i+Q(x, y)j bе a vector field on R? with continuous partial deriva- tives. Which of the following equations corresponds to Green's theorem for F and the curve C, where is the triangle with vertices (0,0), (1,0), and (1,1) oriented counterclockwise? А. . дQ ду ӘР ду dy dx В. P dx...
please show all parts. thank you. Exercise 10: a) Compute dy - dx by parameterizing the...
please show all parts. thank you.
Exercise 10: a) Compute dy - dx by parameterizing the unit counterclockwise circle centered at the origin and computing the parametric integral. b) Compute and simplify 26 (1) c) Does the Divergence Form of Green's theorem say Lady - dx = PS 26.12) dx dy I when D is the unit radius disk centered at the origin and C is the counterclockwise oriented unit radius circle centered at the origin? Why? or Why not?
need 1-5 Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from...
need 1-5
Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from A(-1,3,9) to B(1,6,-4). a) Show that F is conservative. b) Find a function φ such that ▽φ = F c) Use the result of b) to find Ic F Tds 2. Let F(z, y)-(2), and let C be the boundary of the square with vertices (1, 1). (-1,1). (-1,-1 traced out in the counter-clockwise direction. Find Jc...
PLEASE ANSWER ALL PARTS AND SHOW WORK. THANK YOU! If F is a continuous vector field...
PLEASE ANSWER ALL PARTS AND SHOW WORK.
THANK YOU!
If F is a continuous vector field on an oriented surface S with unit normal vector n, then llo F.JS = : Finds Select one: True False Let S be the bottom half of the unit sphere, oriented upward. Let C be the boundary of S, the unit circle in the zy-plane, oriented counterclockwise as viewed from above. Then for any vector field F with continuous first-order partial derivatives, SP.d -...
good evening. i need help with this calculus question. i will thumbs up your answer. Let...
good evening.
i need help with this calculus question.
i will thumbs up your answer.
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 2 = 2xry. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral s F. dr where F(x, y, z) = (y2 + cos z)i + (sin y +22)j...
good evening. i need help with this calculus question. i will thumbs up your answer. or...
good evening.
i need help with this calculus question.
i will thumbs up your answer.
or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
Vector Calculus. Please show steps, explain, and do not use
calculator. Thank you, will thumbs up!
3. In this problem, let S be the surface defined be the equations: x2 + y2 + z2 = 1 and x2 + y2 < 1/2 (a) (1 point) Find a parametrization of S 0: DR3 where DC R2 (Hint: use spherical coordinates). (b) (2 points) Use part (a) to find the area of S. (c) (1 point) Let F: R3 R3 be the...
I lost in this I need help please thank you
10) [12;8] Let F =(x² - y, x) and C is the boundary of the closed region that is the bounded by the y-axis and the left half of the circle x² + y2 = 4. Assume counterclockwise orientation. (a) Find the work done by this force field on a particle that moves along C, without using Green's Theorem (that is, do it as line integrals: be careful with how...
please solve all thank you so
much :)
Let C be the curve consisting of line segments from (0, 0) to (3, 3) to (0, 3) and back to (0,0). Use Green's theorem to find the value of [ xy dx + xy dx + y2 + 3 dy. Use Green's theorem to evaluate line integral fc2x e2x sin(2y) dx + 2x cos(2) dy, where is ellipse 16(x - 3)2 + 9(y – 5)2 = 144 oriented counterclockwise. Use Green's...
(a) Let S be the area of a bounded and closed region D with boundary дD of a smooth and simple closed curve, show that S Jlxy -ydx by Green's Theorem. (Hint: Let P--yandQ x) (b) Let D = {(x,y) 1} be an ellipse, compute the area of D a2 b2 (c) Let L be the upper half from point A(a, 0) to point B(-a, 0) along the elliptical boundary, compute line integral I(e* siny - my)dx + (e* cos...
Help. Cant figure this one out. I keep messing up somewhere. please
sent full steps. THANKS IN ADVANCE. I will thumbs up!
9. Let F(x, y) = P(x, y) i+Q(x, y)j bе a vector field on R? with continuous partial deriva- tives. Which of the following equations corresponds to Green's theorem for F and the curve C, where is the triangle with vertices (0,0), (1,0), and (1,1) oriented counterclockwise? А. . дQ ду ӘР ду dy dx В. P dx...
please show all parts. thank you.
Exercise 10: a) Compute dy - dx by parameterizing the unit counterclockwise circle centered at the origin and computing the parametric integral. b) Compute and simplify 26 (1) c) Does the Divergence Form of Green's theorem say Lady - dx = PS 26.12) dx dy I when D is the unit radius disk centered at the origin and C is the counterclockwise oriented unit radius circle centered at the origin? Why? or Why not?
need 1-5
Midterm #3, Math 228 Each question is worth five points. 1. Let F(r.yzy). Let C be any curve that goes from A(-1,3,9) to B(1,6,-4). a) Show that F is conservative. b) Find a function φ such that ▽φ = F c) Use the result of b) to find Ic F Tds 2. Let F(z, y)-(2), and let C be the boundary of the square with vertices (1, 1). (-1,1). (-1,-1 traced out in the counter-clockwise direction. Find Jc...
PLEASE ANSWER ALL PARTS AND SHOW WORK.
THANK YOU!
If F is a continuous vector field on an oriented surface S with unit normal vector n, then llo F.JS = : Finds Select one: True False Let S be the bottom half of the unit sphere, oriented upward. Let C be the boundary of S, the unit circle in the zy-plane, oriented counterclockwise as viewed from above. Then for any vector field F with continuous first-order partial derivatives, SP.d -...
good evening.
i need help with this calculus question.
i will thumbs up your answer.
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 2 = 2xry. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral s F. dr where F(x, y, z) = (y2 + cos z)i + (sin y +22)j...
good evening.
i need help with this calculus question.
i will thumbs up your answer.
or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
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