Use Stokes's theorem to evaluate fFdRor (VxF) •nda where F(x,y,z)=x²-xy²j+2²k and I is the C hemisphere 2+y² +2²=25, 220. OA-625/45 OB No correct Answer OC-125/4m OD-25/4m OE-T

Q: y³ /r² + y² + z²dzdrdy

A:

Q: Use spherical coordinates to evaluate 2π FT S 2-r r+z 0 (r² +2²) ³/ rdz dr de.

A:

Q: Find a. a. b. ow ax dw dz dw dx y and b. (2,-2,-2) (2,-2,-2) ow at the point (x,y,z) = (2, -2,-2) if…

A: To find- Find  ∂w∂xy ∂w∂zy at the point x, y, z = 2π, -2, -2π if w = x2 + y2 + z2 and y sinz + z…

Q: tind the Laplace trans form for the following 2メ f)= sinat uct) %3D +jat -jat e - e Euler idrolity…

A:

Q: The line of action of the 2690-lb force runs through the points A and B as shown in the figure.…

A: The slope: m of a line that passes through the points: x1, y1 and x2, y2 is calculated using the…

Q: F = 5x45 i + ev6 jl and Clis the quarter of the unit circle in the first quadrant, traced…

A: Given, F→=5x45i^+ey6j^, and C is the quarter of the unit circle in the first quadrant. We have to…

Q: Find div F and curl F if F(x, y, z) = 16yªz³i – 17x7zºj − 3xy¹k. div F= curl F=

A: Given: F(x,y,z)=16y4z5i-17x7z6j-3xy7k. To be find: div F∇.F and curl F∇×F. Concept: for a vector…

Q: Let A=[ Let B=A -t| 3. -2 where t is scalar, Fao which velve (s) of t is B singular?

A:

Q: Use Stoke's Theorem to evaluate $. F · dR, where F (x, y, z) = (z²,xy, xz) and C is the triangle in…

A:

Q: Where Express AB Ас OM A 40A Ac SA X m = midpoint M = OA Bm Prove that = а = b = in terms. m 5 Bc…

A:

Q: (b). Use Green's Theorem to evaluate SF. dr. F(x, y) = (e³x², 2xy), where C is the triangle from…

A:

Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

A:

Q: 4. (a) (5 marks) Use the distributive property of dot product to find (x – y) · (x + y) when x = 3i…

A: Given:             a) x=3i-4j and y=2i+4j Use the distributive property of dot product to find:…

Q: Find u v. u = 7i – 2j v = i - j V U V =

A: We have to find the dot product of given 2 vectors.

Q: 1. Find div F and curl F, where F(x,y,z) = sin(xy) z4i + y tan(z²)j – ze²k

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: state the arder, degree, and linearity of the filowing differe ntial squtions ) ax* 9 + asx) : 3x-4…

A:

Q: Let F = (3z + 3x²) i + (6y + 4z + 4 sin(y²)) 3+ (3x+4y+6e²²) k (a) Find curl F. curl F = (b) What…

A:

Q: 1. Let a force F be given by F = Fo(i+ 4j + 8k) where Fo is a constant. Determine the scalar…

A:

Q: Find the area of each sector. * B 20 m 50п 60 Tt Option 1 Option 2 90 Tt 100 Tt Option 3 O Option 4

A:

Q: Find the cross product a x b. a=i-j-k, b=¹i+j+½ k Verify that it is orthogonal to both a and b. (a x…

A:

Q: Find u x v. u = j + 3k, v = 7i - k Show that u x v is orthogonal to both u and v. (u x v) · u = (u x…

A:

Q: Let F = SOFF Use Stokes' Theorem to evaluate . dr, where C is the triangle with vertices (6,0,0),…

A: