Homework Answers
![Ans. 2018 [z+5 = forlewe 2+[0-018 + 6 = 3 [ous - eng] + (0-3)} (0.137* (ort) , THE [ous – Jungt + open fit mt reket - from ru](http://img.homeworklib.com/questions/7577a7e0-4a22-11eb-94fc-1b87ae06ce25.png?x-oss-process=image/resize,w_560)
Hence option (B ) is correct.
Hence option ( D) is
correct.
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Evaluate Sc (2+2)dy where C is described by parametric equations x(t) = cos(t), y= sin(t), z...
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...
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, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr-
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) -...
Select the first set of parametric equations, x = a cos(bt), y = c sin(dt). (a)...
Select the first set of parametric equations, x = a cos(bt), y = c sin(dt). (a) Set the equations to x = 2 cos(t), y = 2 sin(t) using the sliders for a, b, c, and d. Describe the parametric curve. This answer has not been graded yet. What minimum parameter domain is required to draw the entire circle? Osts How many times is the circle traced out for Osts 4? Click the Animate button and observe the relationship between...
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location...
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < ?/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.)
5. (4 points) Calculate integral $.264 + z sin y)dx + (x? cos y − 3yjº)dy...
5. (4 points) Calculate integral $.264 + z sin y)dx + (x? cos y − 3yjº)dy along triangle with vertices (0,0), (1,0) and (1,1), oriented counterclockwise, using Green's theorem.
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,...
...HELPPPP....Use Green’s theorem to evaluate Z C (−y + √3 x 2 )dx + (x 3...
...HELPPPP....Use Green’s theorem to evaluate Z C (−y + √3 x 2
)dx + (x 3 − ln (y 2 ))dy where C is the rectangle with vertices
(0, 0), (1, 0), (0, 2), and (1, 2).
4. Use Green's theorem to evaluate vertices (0,0), (1,0), (0, 2), and (1,2). Sc(-y + V 22)dx + (z? – In (y?))dy where C is the rectangle with
A particle moves along a curve with parametric equations x(t) = ln(t+1), y(t) = sin(t), z(t)...
A particle moves along a curve with parametric equations x(t) = ln(t+1), y(t) = sin(t), z(t) = 3t, where t is time. Determine the speed of the particle at t = 0.
Sc 3x?yz ds, where C: x=t, y =ť, z = {1,0 <t<l.
Sc 3x?yz ds, where C: x=t, y =ť, z = {1,0 <t<l.
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...
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location...
An object is moving around the unit circle with parametric
equations x(t)=cos(t), y(t)=sin(t), so it's location at
time t is P(t)=(cos(t),sin(t)) . Assume 0
< t < π/2. At a given time t, the tangent line
to the unit circle at the position P(t) will determine a
right triangle in the first quadrant. (Connect the origin with the
y-intercept and x-intercept of the tangent
line.)
(a) The area of the right triangle is
a(t)= .
(b)
lim t →
pi/2−a(t)=
...
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, sin 2t), 0 s t s 27. (Hint: Observe that C lies on the surface z - 2xy.) F dr-
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) -...
Select the first set of parametric equations, x = a cos(bt), y = c sin(dt). (a) Set the equations to x = 2 cos(t), y = 2 sin(t) using the sliders for a, b, c, and d. Describe the parametric curve. This answer has not been graded yet. What minimum parameter domain is required to draw the entire circle? Osts How many times is the circle traced out for Osts 4? Click the Animate button and observe the relationship between...
5. (4 points) Calculate integral $.264 + z sin y)dx + (x? cos y − 3yjº)dy along triangle with vertices (0,0), (1,0) and (1,1), oriented counterclockwise, using Green's theorem.
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,...
...HELPPPP....Use Green’s theorem to evaluate Z C (−y + √3 x 2
)dx + (x 3 − ln (y 2 ))dy where C is the rectangle with vertices
(0, 0), (1, 0), (0, 2), and (1, 2).
4. Use Green's theorem to evaluate vertices (0,0), (1,0), (0, 2), and (1,2). Sc(-y + V 22)dx + (z? – In (y?))dy where C is the rectangle with
A particle moves along a curve with parametric equations x(t) = ln(t+1), y(t) = sin(t), z(t) = 3t, where t is time. Determine the speed of the particle at t = 0.
Sc 3x?yz ds, where C: x=t, y =ť, z = {1,0 <t<l.
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...
An object is moving around the unit circle with parametric
equations x(t)=cos(t), y(t)=sin(t), so it's location at
time t is P(t)=(cos(t),sin(t)) . Assume 0
< t < π/2. At a given time t, the tangent line
to the unit circle at the position P(t) will determine a
right triangle in the first quadrant. (Connect the origin with the
y-intercept and x-intercept of the tangent
line.)
(a) The area of the right triangle is
a(t)= .
(b)
lim t →
pi/2−a(t)=
...
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