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Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos...
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos...
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1x)) Do not put the constant "+c" for the potential in your answer below. f (x, y, z) = -12x*cos(2y)+5z*sin(z) Submit Answer Incorrect. Tries 1/8 Previous Tries Now calculate F. dr where C is the path † (t) = ( 4 cos t, 4 sin t, 3t) for 0 <tst. The line integral equals 0
Determine the potential for the field: F = (2y2 + 20e4x-2y, 4xy + 5 - 10e4x-2y)...
Determine the potential for the field: F = (2y2 + 20e4x-2y, 4xy + 5 - 10e4x-2y) Do not put the constant "+c" for the potential in your answer below. f (x, y) = Submit Answer Tries 0/8 Now calculate Si F. dr where C is the path ř (t) = (2t, 4t) for 0 <t<1 The line integral equals
(1 point) Determine whether the vector field is conservative and, if so, find the general potential...
(1 point) Determine whether the vector field is conservative and, if so, find the general potential function. F = (cos z, 2y!}, -x sin z) Q= +c Note: if the vector field is not conservative, write "DNE". (1 point) Show F(x, y) = (8xy + 4)i + (12x+y2 + 2e2y)j is conservative by finding a potential function f for F, and use f to compute SF F. dr, where is the curve given by r(t) = (2 sinº 1)i +...
Homework set 6: Problem 9 Previous Problem Problem List Next Problem (1 point) Evaluate the line ...
Homework set 6: Problem 9 Previous Problem Problem List Next Problem (1 point) Evaluate the line integral JF d r where F (-sin z, 4 cos y, 10zz) and C is the path given by r(t) (-3t3,362,-3t) for 0 ts 1 Preview My Answers Submit Answers
Homework set 6: Problem 9 Previous Problem Problem List Next Problem (1 point) Evaluate the line integral JF d r where F (-sin z, 4 cos y, 10zz) and C is the path given...
QUESTION 4 Suppose a fourth field and path: F= <cos(z), sin(z), xy > and r= <sin(t),...
QUESTION 4 Suppose a fourth field and path: F= <cos(z), sin(z), xy > and r= <sin(t), cos(t), t-> when Osts 21 What does this field look like? What does the path look like? Find ff. dr (use a calculator), what does it represent? Explain.
Consider the spiral given parametrically by z(t) = 6e 0.4 sin (2) y(t) = 6e 0.4t...
Consider the spiral given parametrically by z(t) = 6e 0.4 sin (2) y(t) = 6e 0.4t cos (2) on the interval 0<t< 5. -3 -2 -1 0 1 2 3 4 5 Fill in the expression which would complete the integral determining the arc length of this spiral on 0 <t<5. dt Submit Answer Tries 0/8 Determine the arc length of the given spiral on 0<t<5. Submit Answer Incorrect. Tries 1/8 Previous Tries Now determine the arc length of the...
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,...
Please answer all three, (: Consider the spiral given parametrically by -0.3 sin (4t) = 6e...
Please answer all three, (:
Consider the spiral given parametrically by -0.3 sin (4t) = 6e -0.3t 6e Уб) cos (4) on the interval 0 s 1s 8 6 2 -2 -4 -6 4 5 -5 -4 -3 -2 -1 1 2 3 6 X 0 t 8 Fill in the expression which would complete the integral determining the arc length of this spiral C on dt sqrt(579.24 exp-0.3t)) Incorrect. Tries 5/8 Previous Tries Submit Answer Determine the arc length...
Let F(x, y, z) = sin yi + (x cos y + cos z)j – ysin...
Let F(x, y, z) = sin yi + (x cos y + cos z)j – ysin zk be a vector field in R3. (a) Verify that F is a conservative vector field. (b) Find a potential function f such that F = Vf. (C) Use the fundamental theorem of line integrals to evaluate ScF. dr along the curve C: r(t) = sin ti + tj + 2tk, 0 < t < A/2.
8: Question 6. - 10.0 pts possible If the potential in a region is given by...
8: Question 6. - 10.0 pts possible If the potential in a region is given by the function o 1. Ey = sin(z) V = 2 x – y2 – cos(2), O 2. Ey = –2y' what is the y-component of the electric field at the point P = (x', y', z')? 3. Ey = cos(z) O 4. Ey = 2 x' O 5. Ey = 2 0 6. Ey = y2 x2 7. Ey 4 8. Ey = 2y'...
Determine the potential for the field: } = (-6 cos (2y), 12x sin (2y), 5 cos (1z) – 5z sin (1x)) Do not put the constant "+c" for the potential in your answer below. f (x, y, z) = -12x*cos(2y)+5z*sin(z) Submit Answer Incorrect. Tries 1/8 Previous Tries Now calculate F. dr where C is the path † (t) = ( 4 cos t, 4 sin t, 3t) for 0 <tst. The line integral equals 0
Determine the potential for the field: F = (2y2 + 20e4x-2y, 4xy + 5 - 10e4x-2y) Do not put the constant "+c" for the potential in your answer below. f (x, y) = Submit Answer Tries 0/8 Now calculate Si F. dr where C is the path ř (t) = (2t, 4t) for 0 <t<1 The line integral equals
(1 point) Determine whether the vector field is conservative and, if so, find the general potential function. F = (cos z, 2y!}, -x sin z) Q= +c Note: if the vector field is not conservative, write "DNE". (1 point) Show F(x, y) = (8xy + 4)i + (12x+y2 + 2e2y)j is conservative by finding a potential function f for F, and use f to compute SF F. dr, where is the curve given by r(t) = (2 sinº 1)i +...
Homework set 6: Problem 9 Previous Problem Problem List Next Problem (1 point) Evaluate the line integral JF d r where F (-sin z, 4 cos y, 10zz) and C is the path given by r(t) (-3t3,362,-3t) for 0 ts 1 Preview My Answers Submit Answers
Homework set 6: Problem 9 Previous Problem Problem List Next Problem (1 point) Evaluate the line integral JF d r where F (-sin z, 4 cos y, 10zz) and C is the path given...
QUESTION 4 Suppose a fourth field and path: F= <cos(z), sin(z), xy > and r= <sin(t), cos(t), t-> when Osts 21 What does this field look like? What does the path look like? Find ff. dr (use a calculator), what does it represent? Explain.
Consider the spiral given parametrically by z(t) = 6e 0.4 sin (2) y(t) = 6e 0.4t cos (2) on the interval 0<t< 5. -3 -2 -1 0 1 2 3 4 5 Fill in the expression which would complete the integral determining the arc length of this spiral on 0 <t<5. dt Submit Answer Tries 0/8 Determine the arc length of the given spiral on 0<t<5. Submit Answer Incorrect. Tries 1/8 Previous Tries Now determine the arc length of the...
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,...
Please answer all three, (:
Consider the spiral given parametrically by -0.3 sin (4t) = 6e -0.3t 6e Уб) cos (4) on the interval 0 s 1s 8 6 2 -2 -4 -6 4 5 -5 -4 -3 -2 -1 1 2 3 6 X 0 t 8 Fill in the expression which would complete the integral determining the arc length of this spiral C on dt sqrt(579.24 exp-0.3t)) Incorrect. Tries 5/8 Previous Tries Submit Answer Determine the arc length...
Let F(x, y, z) = sin yi + (x cos y + cos z)j – ysin zk be a vector field in R3. (a) Verify that F is a conservative vector field. (b) Find a potential function f such that F = Vf. (C) Use the fundamental theorem of line integrals to evaluate ScF. dr along the curve C: r(t) = sin ti + tj + 2tk, 0 < t < A/2.
8: Question 6. - 10.0 pts possible If the potential in a region is given by the function o 1. Ey = sin(z) V = 2 x – y2 – cos(2), O 2. Ey = –2y' what is the y-component of the electric field at the point P = (x', y', z')? 3. Ey = cos(z) O 4. Ey = 2 x' O 5. Ey = 2 0 6. Ey = y2 x2 7. Ey 4 8. Ey = 2y'...
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