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4.2 Plot a rough sketch of...
I need help with this. Thank you for your time. 4.1 Consider the following two-dimensional vector...
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4.1 Consider the following two-dimensional vector fields: х F(x, y) = i + 1x² + y² х Ĝ(x,y) = i + (x2 + y2) Vx2 + y2 y 1x² + y² (x2 + y2 Sketch † (x, y) and Ĝ(x,y) on two separate graphs. Plot the field vectors at the following square grid of 25 points: The first upper row of points is (-2,2),(-1,2) (2,2) The last lower row of...
I lost in this I need help please thank you 13) [6;10] Given F(x, y, z)=(-2yz,...
I lost in this I need help please thank you
13) [6;10] Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z = 3x² +3y2 and z=3. Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above. (a) SET UP the line integral (F. dr as a line integral with a parameter t. Your final integral should be a с single integral in terms of t only, including the bounds of integration....
I lost in this I need help please thank you + 14) [12] Find the flux...
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+ 14) [12] Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +3x j +4zk, and S is the boundary of the solid region enclosed by z=9-x² - y2 and the plane z=2. (note that this includes two surfaces). Assume outward orientation. Do not use the Divergence Theorem. Evaluate completely. Bonus 4 points Use the Divergence Theorem to solve the...
i need help with all parts. i will rate. thank you very much. V= i +...
i need help with all parts. i will rate.
thank you very much.
V= i + 3y + 2k The angle this vector makes with the xy-plane is approximately 16.6° 19.7° 66.2° o 73.4° Which of the following vector fields in the plane is conservative? O F(x,y) = (2xy)i + (3y2); F(x,y) = (- x2y)i + (2xy?) O F(x,y) = (3xy?)i + (6xy)j F(x,y) = (5x2y3)i + (10xy?) The curve defined by r(t) = (t, 4t, 8t) from t=0 to...
I need help with this question. I do not understand the role of the plane z=x+2y since boundary o...
I need help with this question. I do not understand the role of
the plane z=x+2y since boundary of x is [0,2] and y is [0,4]. Some
concept clarification would be great.
2. (5 points) Sketch (rough sketch is ok) the solid that lies between the surface z r*+1 -0, x-2. У-0, and y-4 and the plane -x+2y and is bounded by the planes x Then, find its volume.
2. (5 points) Sketch (rough sketch is ok) the solid that...
I lost in this I need help please thank you 8) [8] Given: E is the...
I lost in this I need help please thank you
8) [8] Given: E is the solid that lies below z = Vx² + y2 and inside x² + y2 + z2 = 5z. First describe what each surface represents, and sketch the solid. Then SET UP a triple integral using spherical coordinates to describe the volume of the solid. Explain clearly how you found the bounds for the spherical coordinates. DO NOT evaluate the integral.
I lost in this I need help please thank you (NO NEED MORE INFORMATION BECAUSE IT...
I lost in this I need help please thank you (NO NEED MORE
INFORMATION BECAUSE IT IS A HW QUESTION This is how they ask)
+ 9) [26] Given F(x, y)= (4x’e' + 3x?y?)i + (x*e” + 2x’y+y’e”); , (state any theorems you use!) [4;8;6;4;4] (a) show that F is a conservative vector field. (b) find a potential function f for F. (c) evaluate ( F.di where C is the line segment from (3,1) to (4,2). (d) if the curve...
I lost in this I need help please thank you 6) [8] с Use Green's Theorem...
I lost in this I need help please thank you
6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
need help visualizing this problem, The problem states to sketch the vector field by drawing a diagram. 10. F(x, y, )i +...
need help visualizing this problem, The problem states to sketch the
vector field by drawing a diagram.
10. F(x, y, )i +k
10. F(x, y, )i +k
all questions are related and need help answering! rough the surface 4. o pm) What is the value of the flux of the vector field F(x,y)j+z ioriented with upward- pointing normal vector? (A) 0 (B)...
all questions are related and need help answering!
rough the surface 4. o pm) What is the value of the flux of the vector field F(x,y)j+z ioriented with upward- pointing normal vector? (A) 0 (B) 2n/3 (C) π (D) 4T/3 (E) 2π Use Stokes, Theorem to evaluateⅡcurl F.dS, where F(x, y, z)-(x2 sin Theorem to evaluate Jceun F'.asS , where Fl.e)(', ») and 5. (5pts.) F,y, sin z, y', xy) and s is the part of the paraboloid : -...
I need help with this. Thank you for your time.
4.1 Consider the following two-dimensional vector fields: х F(x, y) = i + 1x² + y² х Ĝ(x,y) = i + (x2 + y2) Vx2 + y2 y 1x² + y² (x2 + y2 Sketch † (x, y) and Ĝ(x,y) on two separate graphs. Plot the field vectors at the following square grid of 25 points: The first upper row of points is (-2,2),(-1,2) (2,2) The last lower row of...
I lost in this I need help please thank you
13) [6;10] Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z = 3x² +3y2 and z=3. Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above. (a) SET UP the line integral (F. dr as a line integral with a parameter t. Your final integral should be a с single integral in terms of t only, including the bounds of integration....
I lost in this I need help please thank you
+ 14) [12] Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +3x j +4zk, and S is the boundary of the solid region enclosed by z=9-x² - y2 and the plane z=2. (note that this includes two surfaces). Assume outward orientation. Do not use the Divergence Theorem. Evaluate completely. Bonus 4 points Use the Divergence Theorem to solve the...
i need help with all parts. i will rate.
thank you very much.
V= i + 3y + 2k The angle this vector makes with the xy-plane is approximately 16.6° 19.7° 66.2° o 73.4° Which of the following vector fields in the plane is conservative? O F(x,y) = (2xy)i + (3y2); F(x,y) = (- x2y)i + (2xy?) O F(x,y) = (3xy?)i + (6xy)j F(x,y) = (5x2y3)i + (10xy?) The curve defined by r(t) = (t, 4t, 8t) from t=0 to...
I need help with this question. I do not understand the role of
the plane z=x+2y since boundary of x is [0,2] and y is [0,4]. Some
concept clarification would be great.
2. (5 points) Sketch (rough sketch is ok) the solid that lies between the surface z r*+1 -0, x-2. У-0, and y-4 and the plane -x+2y and is bounded by the planes x Then, find its volume.
2. (5 points) Sketch (rough sketch is ok) the solid that...
I lost in this I need help please thank you
8) [8] Given: E is the solid that lies below z = Vx² + y2 and inside x² + y2 + z2 = 5z. First describe what each surface represents, and sketch the solid. Then SET UP a triple integral using spherical coordinates to describe the volume of the solid. Explain clearly how you found the bounds for the spherical coordinates. DO NOT evaluate the integral.
I lost in this I need help please thank you (NO NEED MORE
INFORMATION BECAUSE IT IS A HW QUESTION This is how they ask)
+ 9) [26] Given F(x, y)= (4x’e' + 3x?y?)i + (x*e” + 2x’y+y’e”); , (state any theorems you use!) [4;8;6;4;4] (a) show that F is a conservative vector field. (b) find a potential function f for F. (c) evaluate ( F.di where C is the line segment from (3,1) to (4,2). (d) if the curve...
I lost in this I need help please thank you
6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
need help visualizing this problem, The problem states to sketch the
vector field by drawing a diagram.
10. F(x, y, )i +k
10. F(x, y, )i +k
all questions are related and need help answering!
rough the surface 4. o pm) What is the value of the flux of the vector field F(x,y)j+z ioriented with upward- pointing normal vector? (A) 0 (B) 2n/3 (C) π (D) 4T/3 (E) 2π Use Stokes, Theorem to evaluateⅡcurl F.dS, where F(x, y, z)-(x2 sin Theorem to evaluate Jceun F'.asS , where Fl.e)(', ») and 5. (5pts.) F,y, sin z, y', xy) and s is the part of the paraboloid : -...
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