if Vx 1 dA if R is the unit circular disk. Find Lütfen birini seçin: O A. 3r(22-1) O B. 27(/2-1) OC 27(22-1) O D. 27(2 2-1) 3. E. 27(2/2-1)

Q: Evaluate ||E y²z² dV, where E lies above the cone o and below the sphere p = 1. = T/3

A: Given, ∫∫∫Ey2z2dV   ....(i)Let x=ρsinϕcosθ y=ρsinϕsinθ and z=ρcosϕAnd we know…

Q: (a) find a parametrization of the path C, and (b) evaluate (r? + y?) ds.

A: Here we have to find the Parameterization of path C, Counterclockwise around the circle x2+y2=1 from…

Q: Evaluate, using Cauchy's integral formula: sin tz? + cos Tz? () dz where C is the circle |z| = 3 (z–…

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Q: For a right circular cylinder, suppose that r = 6 in and H - 7 in. Find the exact: a) L; b) T; c)…

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Q: 2. Find the contour integral f,zdz for (a) y is the triangle ABC oriented counterclockwise, where A…

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Q: Suppose F(x, y) = (3x – 2y)i + 3xj and C is the counter-clockwise oriented sector of a circle…

A: Given, F→(x,y)=(3x-2y)i→+3xj→ Here, M=3x-2y and N=3x radius=3 θ=π3 Limits are 0≤r≤3 , 0≤θ≤π3

Q: 2. Let C₁ denote the positively oriented boundary of the square whose sides lie along the lines x =…

A: Given: Let us consider the given data, The lines x=±1y=±1 Circle,z=4 To show ∫C1fzdz=∫C2fzdz a) when…

Q: Evaluate F · dī where C F = , and C is the circle of radius 3 centered at the origin parametrized…

A: To find  ∫CF→.dr→ where c is circle of radius 3 centered  at origin parametrized in counterclockwise…

Q: If C'is the circle of radius 3 centered at the origin, starting at the point (3,0) and moving around…

A: Answer and explanation is given below..

Q: In isosceles trapezoid WXYZ with bases ZY and WX, ZY = 8, YX = 10, and WX = 20. Find height h (the…

A: Given  The  WXYZ  is isosceles trapezoid  with bases ZY and WX .  Here ZY =8  , YX =10  and WX =20

Q: Let B be the ball with center at the origin and radius 1 SS [3(x² + y² + z²)dV =

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Q: 3 Use Green's theorem to evaluate [x³y dx - xy²dy, where C C is the unit circle x²+y=1 with…

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Q: (a) Let r = where C is the unit circle oriented counterclockwise, and Vr2 + y?. Calculate fF Tds…

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Q: Given the funchisns fyl= 3y-y cnd 8y)=-y; 9. Sketch the frunckons cnd label then nteuseckon points

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the curvature. r (t) = 8ti+ 3sin tj+3 cos tk k(t) =

A: Use formula to calculate curvature Find magnitude of unit tangent vector

Q: Integrate counterclockwise around the circle |z – 6i| = 3. z(z – li)? - NOTE: Enter the exact…

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Q: If the curve y = f(x), a ≤ x ≤ b, is rotated about the horizontal line y = c, where f(x) ≤ c, find a…

A: Given, Curve y= f(x) , a≤x≤b Rotated about a horizontal line y=cwheref(x)≤c

Q: 17. Evaluate the integral: S, 9x? – 6dx. 18.Determine the center of the circle x² +y² = 25. %3D

A: (17)  Given that I=∫-159x2-6 dx It is known that ∫xndx=xn+1n+1 So, I=9x33-6x-15 =3x3-6x-15 Now we…

Q: For AKMP, Q is the midpoint of KP, L is the midpoint of KM, and N is the midpoint of PM. Also, KP =…

A: we will use midpoint theorem here . when midpoint of two sides are join then the line segment is…

Q: dV , where V is the unit sphere.

A:

Q: 23 + 3 4. Evaluate the integral dz, where C is the circle (a) |z + 3| = 3, (b) |z| = 3, (c) |z| = 7.…

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Q: Use the distance formula to show that T (x,y) = (-y,x) is an isometry.

A: We have to prove that T(x, y) = (-y, x) is an isometric.

Q: Evaluate dV, where E lies between the spheres x + y² + z? = 16 and E x2 + y2 + z2 r + y + z 64 in…

A: Follow 2nd ,3rd step .

Q: 18. Use spherical coordinatcs Evaluate dV,where E is the portion of the unit ball X ty +z²<! that…

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Q: 6. Compute the contour integral (a) / COS Z -dz where C is the positively oriented circle |z – 1| =…

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Q: 10/ Compute S Fids, uhere S is the surface oriented up ward and E

A: According to divergence theorem ∫∫SF.ds=∬∫Vdiv F dxdydz Given F=y, -x,…

Q: Find the center and radius of circle x“ + y° - 2x-4y+1=0. Prove thot (0

A: I am solving question 1. if you want other question to be solved then repost.

Q: 2 Use Green's Theorem to evaluate Jx*ydx-xy dy, where C is the circle 2+ y? – 2601 with…

A: Let be the vector field and C be the boundary of the region D. The Green's theorem states that .

Q: If the infinite curve  y = e−8x, x ≥ 0,  is rotated about the x-axis, find the area of the…

A: Given: y=e-8x , x≥0

Q: SSx x dA; R is the portion of the disk x +y s 16 in the second quadrart

A: According to the given information, it is required to find the value of the given integral.

Q: Evaluate I ( V9 - x2 - y2 dA, where D is the disk x? + y < 9, by interpreting it as a known volume.…

A:

Q: If T is the centroid of MNP, TN=16, MQ=23, and RP=18, find each misiing measure

A: Here T is the centroid of ∆MNPTN = 16,  MQ = 23 and RP =18We find missing measure

Q: Jse Green's theorem to evaluate $ (2°e* + 4y) dz + (-5x+ y* sin(y)) dy, where C is the…

A: The given path C is circle x2+y2=16. Therefore: D= (x, y) : x2+y2≤16

Q: 8- of What is the value of (z + e22) dz, where C is the positiv C oriented circle |z - 1= 1 in the…

A: Since z-1=1 ⇒z-12=1⇒z-1z-1¯=1⇒z-1z¯-1=1⇒zz¯-z¯-z=0⇒z¯z-1=z⇒z¯=zz-1

Q: O is the centre. EO = /3 . OF = 2 and OE I DF. Calculate the length of DE. (b) %3D F. E V3 2]

A: From the given problem:   EO=3 ;OF=2  OE⊥DF.   As we know that perpendicular from the center of the…

Q: z+i dz , where T is the circle Iz – 3i| = 1 traversed once (2) Compute counterclockwise.

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: 10. (~Ch16 Review #17) Use Green's Theorem to evaluate | x?y dx – xy? dy where Cis ,2 the circle x2…

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Q: EVALUATE § 7. d² USING STOKE'S THEOREM 3xz^ + ex² ₁ + 2xy^ с F(x, y, z) = 3XZ1 te C IS THE CIRCLE…

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Q: Given: ZW ~= ZY , X is the midpoint of WY Prove: ZWX ~= ZYX

A: Given: ZW≅ZYX is midpoint of WY

Q: Find the center and the radius r of the sphe S: a +y ++ te + 8y – 8z = -11 82 -11 %3D

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Q: Let YR be the arc of the circle {|z| = R} that lies between the ray Arg(2) = T/4 and Arg(z) = 37/4.…

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Q: Suppose F(x, y) = (4x – 3y)i + 4xj and C is the counter-clockwise oriented sector of a circle…

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Q: SSx x dA; R is the portion of the disk x + ys 16 in the second quadrart

A: I use polar conversion method

Q: Evaluate T// y dV, where E is the portion of the sphere x² + y? + z² = 9 in the first octant (where…

A: Let, x=rsinθcosϕy=rsinθsinϕz=rcosθ

Q: Prove that the surface area of a sphere with radius r is given by S = 4r? using the methods of this…

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Q: Q#4 a. Find the area of the surface generated by revolving abuut the x – uxis the portion of the…

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Q: Evaluate z dz, where the contour C goes from z = 0 to z = 1 to z = 1+i.

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Q: Use Gauss's D.T. to evaluate SSA.ds where Ã=x'i+y°§+7f qud S is the , surdace of the sphere x+j+z²=…

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