Choose five other iterated integrals that are equal to the given iterated integral. x² f(x, y, z) dz dy dx х fx, у, 2) dz dx dy 4 y 2 f(x, у, 2) dx dz dy 4 f(x, y, z) dx dy dz х fx, у, 2) dy dz dx 4 X f(x, y, z) dy dx dz Vz 2. 2.

Q: (3, 1) (у? + 2ху) dx + (- 1, 2) (x² 2ху) dy +

A: We have to show that the curvilinear integral is independent of path and we have to find its…

Q: for fx xy fy yx f(x,y)=3x³y² + 4(3x + 2y)³ find

A: Given function is fx,y=3x3y2+43x+2y5

Q: Evaluate the integral S dy -4y+8 dy 1,200 y 4y + 8

A:

Q: () 4 dædydz; V: {r+y+ z = 3; x 20; y 20; :> 0} O A. pi В. 3 С. б D. 9

A: The given integral is ∫∫∫V43-xdxdydz and region is x+y+z=3; x≥0 ,y≥0, z≥0

Q: Verify Green's Theorem by evaluating both integrals an am dA ax ay for the given path. C: rectangle…

A:

Q: Let o (x +e*siny) dx + (x +e* cos y)dy be the line integral on the boundary of the triangle enclosed…

A: We will find out the required value.

Q: Find the complete integral of (1 az 1 dz z dx2 1 az Exe z dx3 z dx *Ex 7x Ix =|

A:

Q: Which of the following is not a meaningful triple integral?

A: a. ∫01∫0x∫x+y2x+yex+y+z dz dy dxb. ∫01∫0z∫x+y2x+yex+y+z dz dy dx

Q: . Compute the line integral of E from B(0,0,0) to A(2,1,3) if E = -4xya, – (4y + 2x2)a, + 8zaz. Use…

A: The line integral of vector field E→ along curve C is ∫C   E→.dr=∫abE→(r→(t).r→'(t)dt  where r(t)→…

Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

A:

Q: O O Evaluate the iterated integral O 5/80 5 32 5 16 24 T k siny dz dx dy

A: let  G=∫0π2∫0y8∫05ysinydzdxdy

Q: Verify Green's Theorem by evaluating both integrals v? dx + x? dy = . dA дх ду for the given path.…

A:

Q: Evaluate the iterated integral.

A:

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = xz siny-√3 At point (1,1,2).…

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Q: sy2-3x²+9 J. Tra St 2 Convert x - gy dzdydx to integral of cyclındri cal coordinatcs then evaluate

A:

Q: c. A bag contains 20 tennis balls, of which four are defective. If two balls are selected at random…

A: c.   Probability =Favorable caseTotal casesFavourable case : Number of chance to get both defective…

Q: Find rsint V1+ u+du) dt. dx2 Jo

A: We have to use the formula  Here  We write the second derivative as two derivatives and use f(t)…

Q: Evaluate the line integral. -y dx + x dy segment from (3, 0) to (0, 3) x2 + y2

A: Find the slope of the line through the given points.

Q: What is the value of the line integral ∫AB xy dx defined by the line y = x +2 and it is along the…

A: The given problem is to evaluate the line integral along the path y=x+2 from points A(0,2) and…

Q: compute J secx dr. I n trying to integrate

A: