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ол r=3 cose çemberinin r=1+cost kardiyoidinin dışında kalan parçasının uzunluğu kaç br dir? a) 40 2...
1. Express the point given in Cartesian coordinates in cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)= 2....
1. Express the point given in Cartesian coordinates in
cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)=
2. Express the point given in Cartesian coordinates in spherical
coordinates (ρ,θ,ϕ). (7/3√3,21/4,7/2) =
I know we are only supposed to post 1 per question however for
this one I have 1 part correct, I just need some help with the
rest. Please if you have the time help with question 2. Thank you
for your time and knowledge.
(1 point) Express the point given...
Q 4. Confirm that ∇ (1/ r) = − r /r 3 where r = ||r e || and r e = xˆı + y ˆj + z kˆ = ρ eˆρ + z ...
Q 4. Confirm that ∇ (1/ r) = − r /r 3 where r = ||r e || and r e = xˆı + y ˆj + z kˆ = ρ eˆρ + z eˆz = r eˆr. Do it in (i) cartesian coordinates with ∇ ≡ ∂ ∂x ˆı + ∂ ∂y ˆ + ∂ ∂z kˆ. (ii) cylindrical coordinates with ∇ ≡ ∂ ∂ρ eˆρ + 1 ρ ∂ ∂φ eˆφ + ∂ ∂z eˆz. (iii) spherical coordinates...
please show all work in clean and legible handwriting with all labels and steps that is properly explained for PROBLEMS #1, 2, 3, AND 4. Any incorrect answers and not solving all 4 problems...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3), 0StS 4 Evaluate F. dr Justify...
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3), 0StS 4 Evaluate F. dr Justify your answer. iii. Find a function y: R3-+ R such that F iv. Evaluate F.dr where「is the path y =r', z = 0, from (0.0.0) to (2.8.0) followed by the line segment from (2,8,0) to (1,1,2) 22 marks)
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3),...
1. An iterated double integral that is equivalent to *** dx + ry dy JOR 3....
1. An iterated double integral that is equivalent to *** dx + ry dy JOR 3. Use Groen's Theorem to set up an iterated double integral equal to the line integral $+eva) dx +(2+ + cow y) dy where is the boundary of the region enclosed by the parabolas y rand 1 = y2 with positive orientation. This yields: A. where R is the triangular region with vertices (0,0),(1,0) and (0,1) is: A B. B. So ['(2-z) dr de SL...
Please show working and explanation if possible. Thank you so much in advance! The first four spherical harmonics Ym are given below. r-e'a cose 3 11/2 Y. 3 11/2 3 1/2 sin θ e_ίφ a) Give the m...
Please show working and explanation if possible. Thank
you so much in advance!
The first four spherical harmonics Ym are given below. r-e'a cose 3 11/2 Y. 3 11/2 3 1/2 sin θ e_ίφ a) Give the mathematical functions that describe the s orbital and the pz orbital. (10 marks) b) Unsöld's theorem states that the spherical harmonics satisfy the relation +I IYİm12 = constant m--l t Unsöld's theorem is valid for the family of spherical harmonics with (15 marks)...
(1) Evaluate the integral (r-1) min(a, y) dy dr, Jo Jo where min(x, y) is the minimum value of r ...
q2 please
(1) Evaluate the integral (r-1) min(a, y) dy dr, Jo Jo where min(x, y) is the minimum value of r and y. (2) Let f,g : R → R be functions of one variable such that f" and g" are continuous. Show that (f"(x)-g"(y)) dydx = f(0) + g(0)-f(2)-9(2) + 2f'(2) + 2g'(0). o Jo (3) Let a > 0. In spherical coordinates, a surface is defined by r = 2acos φ for 0 φ 1. Find the...
solve problem 6 it is not a double integral, it is 1 integral In Convert to...
solve problem 6
it is not a double integral, it is 1 integral
In Convert to cylindrical coordinates ſyddy Set up the integral) 1b. Convert to spherical coordinates JJ Jy daddy (Set up the integral) 2. Une cylindrical coordinates to determine the volume of the solid in the 1" octant enclosed by the coordinate planes, the cylinder + 16 and the plane (Set up - do not solve) 3. Use spherical coordinates to determine the volume of the solid that...
2) (27 points) Let D be the region bounded from below by the plane : 0, from above by the plane z-2J3 and laterally by the hyperboloid of one sheet x2 + y2-1-24. a) (3 points) Draw the region...
2) (27 points) Let D be the region bounded from below by the plane : 0, from above by the plane z-2J3 and laterally by the hyperboloid of one sheet x2 + y2-1-24. a) (3 points) Draw the region D. b) (12 points) Set up triple integrals representing the volume of D in spherical coordinates according to the order of integration dp do de c) (12 points) Set up triple integrals representing the volume of D in cylindrical coordinates according...
3. Consider the vector field F(x, y) + 2y F dr, where C is the circle (r-2)2 +y2 = 1, oriented counterclock (a) Com...
3. Consider the vector field F(x, y) + 2y F dr, where C is the circle (r-2)2 +y2 = 1, oriented counterclock (a) Compute wise (Hint: use the FT of line integrals. We could not use it for the circle centered at the origin, but we can use the theorem for this circle. Why?) (b) Let 0 be the angle in polar coordinates for a point (x, y). Check that 0 is a potential function for F
3. Consider the...
1. Express the point given in Cartesian coordinates in
cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)=
2. Express the point given in Cartesian coordinates in spherical
coordinates (ρ,θ,ϕ). (7/3√3,21/4,7/2) =
I know we are only supposed to post 1 per question however for
this one I have 1 part correct, I just need some help with the
rest. Please if you have the time help with question 2. Thank you
for your time and knowledge.
(1 point) Express the point given...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3), 0StS 4 Evaluate F. dr Justify your answer. iii. Find a function y: R3-+ R such that F iv. Evaluate F.dr where「is the path y =r', z = 0, from (0.0.0) to (2.8.0) followed by the line segment from (2,8,0) to (1,1,2) 22 marks)
2. (a) Let i. Show that F is cnservative in R i. Let C denote the path 1+cost,2+sint,3),...
1. An iterated double integral that is equivalent to *** dx + ry dy JOR 3. Use Groen's Theorem to set up an iterated double integral equal to the line integral $+eva) dx +(2+ + cow y) dy where is the boundary of the region enclosed by the parabolas y rand 1 = y2 with positive orientation. This yields: A. where R is the triangular region with vertices (0,0),(1,0) and (0,1) is: A B. B. So ['(2-z) dr de SL...
Please show working and explanation if possible. Thank
you so much in advance!
The first four spherical harmonics Ym are given below. r-e'a cose 3 11/2 Y. 3 11/2 3 1/2 sin θ e_ίφ a) Give the mathematical functions that describe the s orbital and the pz orbital. (10 marks) b) Unsöld's theorem states that the spherical harmonics satisfy the relation +I IYİm12 = constant m--l t Unsöld's theorem is valid for the family of spherical harmonics with (15 marks)...
q2 please
(1) Evaluate the integral (r-1) min(a, y) dy dr, Jo Jo where min(x, y) is the minimum value of r and y. (2) Let f,g : R → R be functions of one variable such that f" and g" are continuous. Show that (f"(x)-g"(y)) dydx = f(0) + g(0)-f(2)-9(2) + 2f'(2) + 2g'(0). o Jo (3) Let a > 0. In spherical coordinates, a surface is defined by r = 2acos φ for 0 φ 1. Find the...
solve problem 6
it is not a double integral, it is 1 integral
In Convert to cylindrical coordinates ſyddy Set up the integral) 1b. Convert to spherical coordinates JJ Jy daddy (Set up the integral) 2. Une cylindrical coordinates to determine the volume of the solid in the 1" octant enclosed by the coordinate planes, the cylinder + 16 and the plane (Set up - do not solve) 3. Use spherical coordinates to determine the volume of the solid that...
2) (27 points) Let D be the region bounded from below by the plane : 0, from above by the plane z-2J3 and laterally by the hyperboloid of one sheet x2 + y2-1-24. a) (3 points) Draw the region D. b) (12 points) Set up triple integrals representing the volume of D in spherical coordinates according to the order of integration dp do de c) (12 points) Set up triple integrals representing the volume of D in cylindrical coordinates according...
3. Consider the vector field F(x, y) + 2y F dr, where C is the circle (r-2)2 +y2 = 1, oriented counterclock (a) Compute wise (Hint: use the FT of line integrals. We could not use it for the circle centered at the origin, but we can use the theorem for this circle. Why?) (b) Let 0 be the angle in polar coordinates for a point (x, y). Check that 0 is a potential function for F
3. Consider the...
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