Let F = (3z + 3x²) ¿+ (6y + 4z + 4 sin(y²)) 3+ (3x + 4y + 6e²²) k (a) Find curl F. curl F - (b) What does your answer to part (a) tell you about SF. dr where C' is the circle (x − 15)² + (y − 10)² = 1 in the xy-plane, oriented clockwise? SF. dr = 0 (c) If C is any closed curve, what can you say about ScF• dr? ScF. dr . = 0

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

A:

Q: 9) Find the zeros of y = 9x? – 1.

A:

Q: Evaluate L₂Lova (4-3²) dydx -√4-x² by using polar coordinates.

A:

Q: Let F = (5z + 5x³) i+ (5y + 6z + 6 sin (y)) + (5æ + 6y + 5e) k. (a) Find curl F curl F (b) What does…

A: As per bartleby guideline for more than three sub parts asked only first three are to be answered…

Q: Determine the roots of y"" - 4y" + 3y = 0

A:

Q: Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b)…

A:

Q: Evaluate 12x-7 dz where (2213) (2-1)² Cis the circle Z = 2

A: Approach to solving the question:  Detailed explanation:

Q: x y ● = Find the dot product of 1 18 0 — -2 and y = 1 2 4 ●

A:

Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

Q: Calculate (4x² + Se) dy, where C is the triangle of vertices (0,0), (2,0) and (2,2). [(4x²+ Note:…

A:

Q: Find z,(-1,2) if z=In(5x°y²+2y*). Answer:

A: We can find the answer as below.

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: Evaluate  ∫C (3y + exsinx) dx + (8x - ln(y3+2)) dy, where C is the circle x2 + y2 = 9  with positive…

A:

Q: 2. Circle One. Are (x-3) and (x-2) factors of: f(x) = x'-3x -4x+12 YES or NO

A:

Q: Distinguish briefly the Parametric and non-parametric analysis

A: There are two types of analysis in the testing of the hypothesis. they are: 1) Parametric analysis.…

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: Find the equation of the line that...is parallel to 7x + 2y = 2 and passes through (3,4). (Write…

A:

Q: Find (d/dz)2coshz using principal values. Where in the complex z-plane is analytic?

A: We have to find the derivative of 2cosh⁡(z) with respect to z, we can use the chain rule along with…

Q: Let P = (42+42²) + (7y + 5z +5 sin(y)) 3+ (4z + 5y + 7e) k (a) Find curl F. curl F = (b) What does…

A:

Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

A:

Q: Let F = (3z + 3x²) i + (6y + 4z +4 sin(y²)) 3j + (3x + 4y + 6e²²) K (a) Find curl F. curl F = 0 (b)…

A: