Ewaluate by the planes x=0,y=0, t:0, for

Q: he curve C is the intersection of the plane z + y = 2 and the cylinder x? + y? = 1. Assume a…

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Q: Calculate fo(7x + 6y) i + (4x + 7y) j) dr where C is the circular path with center (a, b) and radius…

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Q: Eualuate Je m Cz -i) dz (z-i)dz from Z =1+2i to to contour 2=

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Q: Evaluate x² + y? – z dS where S is the part of the cone z? = x² + y² that lies between the planes Z…

A: To evaluate :  Where , S is the part of the cone , that lies between the plane   and .…

Q: y dV, where B is the portion of the unit ball B = {(x, y, z) : x² +y² + z² < 1} which lies below the…

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Q: A) || Jx2 + y2 dA , R is the disk x2 + y? < 9

A: We have to use polar coordinates here.

Q: lo.find a pount in the plane x+24+3z =13 neerest to the point (r.1,1) usung the methed of Lagrange's…

A: To find a point on the plane x+2y+3z=13 nearest to the point (1,1,1).

Q: 7. If the net was folded into a box, which sides represent the lateral surfaces? a f C e d

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Q: Sſcos( dxdy y-x y+x D

A: Given and u=y-x,  v=y+x where D is the trapezoid with vertices (1, 0), (2, 0), (0, 2) and (0, 1).

Q: Evaluate ſſ, Vy² – x² dA where boundary of R is the parallelogram bounded by the four lines

A: In this question, we evaluate the double integral by using the change of variable. The region is…

Q: Evaluate (x2 + y? + z)dS, where S is the portion of the plane z = x + 2 that lies inside the…

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Q: Let r < R. Revolving a circle of radius r, (x – R)² + y² = r², around the y-axis gives a donut…

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Q: W and T are the midpoints of the legs, VX and UY, of trapezoid UVXY. If XY = -2p + 58, TW = 3p - 48,…

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Q: Let D be the half-disc in the xy-plane given by x +y <9. Calculate e-(x2+v)dA

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Q: Let f (z) = 33O = Q A = 10and B= 10 + 10iet C be the contour composed of the line segments OAand…

A: The given problem is to evaluate the complex integral of the given function over the given semi…

Q: the KX3 Determine the intersection of and plane tangem line to Cuove at t=5 . %3D

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Q: solid that results when R is revolved about the y-axis.

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Q: عنوان الدرس. / الموافق Find equation of the plane that cont the line s L,:X= Sty=Ct 6+2t .....…

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Q: Find the volumes of the regions

A: The Volume of  the wedge, where D is the solid and R is the region, is calculated as,…

Q: WY bisects ZXWZ and ZXYZ. Complete the proof that AWXY E AWZY. Y. W

A: Given that WY bisects ∠XWZ and ∠XYZ. We know that when a line bisects an angle, it means it divide…

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

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Q: the rhombDus below, mZ1 %3D 53° m 2 mZ3 %3D m Z4 %3D 4.

A: Explanation and solutions is given below....

Q: W and Z are the midpoints of the legs, VX and UY, of trapezoid UVXY. If UV = p 15, WZ = p + 2, and…

A: Using mid point theorem of trepazium

Q: Find the acute angle between the planes 3x + y + z = 0 and x − 2y + z

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Q: Tind he latance from the pomt (-2, 4) to tu plane 37+2y4 6E5

A: Given a point (1, -2, 4) and a plane 3x + 2y + 6z = 5

Q: Use Stoke's theorem to evaluate // curlF - dS where F(x, y, z) = 2y i+ 3xj + (z – x) k and S is the…

A: The given integral is∫∫CcurlF→·dSwhere F→x,y,z=2yi^+3xj^+z-xk ^and S is theportion of y=11-3x2-3z2…

Q: From the result that you have obtained using the trapezoidal rule, it is worth it to buy the pills?…

A: Answer: No  Trapezoidal Rule: This is mostly used for evaluating the area under the curves and the…

Q: Calculate /| xz dS, where K is the part of the cone z = Va2 + y? where z < 2.

A: Given the surface

Q: Calculate Se(5x + 3y) i + (4x + 3y) j) · dĩ where C is the circular path with center (a, b) and…

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Q: / (2² + y²) do, where S is the portion of the sphere r? + y? + z² = 9 in the first octant that is…

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Q: Use Stoke 's Theorem to evaluate [ . dr, where v = y²i + xyj + xzk, and c is the bounding curve of…

A: We have to solve the given problem by using stokes theorem.

Q: Calculate ff. (6 – z) dS if S is the cone portion z = limited by the plane z= 6 = 2/x² + y² Answer:…

A: Given the cone z=2x2+y2 limited by the plane z=6 At z=6, 2x2+y2=6x2+y2=3x2+y2=32 Thus, the…

Q: Find, correct to four decimal places, the length of the curve of intersection of the cylinder 25x2 +…

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Q: Find a formula for the distance from the point P(x, y, z) to the a. xy-plane . b. yz-plane c.…

A: a) xy plane is given by z=0 We have to find distance of (x,y,z) from z=0

Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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Q: Evaluate the line integral ſe ry²ds, where C is three quarters of the circle a² +y? = 1, oriented…

A: C is the three quarters of the circle x2+y2=1, oriented counterclockwise. The parametric equation of…

Q: dA, where K is the disk r + (y 2 +?

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Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the midpoint of…

A: From the graph, it is clear that B is at (-1,2) and D is at (5,-2) Now, the midpoint formula gives…

Q: The bearing of x from y is 045 and the bearing of z from y is 145 ,where x, y and z are three point…

A: Rules for solving Bearing and Distances: The reading in bearing is taken from North as per the…

Q: 2. At what point on z = a? + y? is the tangent plane parallel to 3.r – 4y + z = 7 ?

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Q: 8 Use the shell me fthe t to find the vo lume of the solid the plane' rejion akout the Line ited by…

A: Given: Find volume about line x=6 The region between the curves y=x y=0  x=4 Volume using shell…

Q: Calculate fc((7x + 6y) i + (4x + 7y) j) dr where C is the circular path with center (a, b) and…

A: The path is given as the circular with center (a, b). Now the integral is: I=∫C (7x+6y)i→ +…

Q: Suppose the plane So thet its Coordinates are a partile Pir moving in given by y=Fsinzt Plxy) where…

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Q: Given, w = f(x,y, 2) = y – Va² +2? Sketch the level surface for w = 0.

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Q: Find the envelope of the plane 1, C + u + a + и b + u mere u is the parameter.

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Q: Find the distance between the skew lines: x = 5+ 6t, y = 2+ 3t, z = 8 – 3t z = 1+ 2t x = 9 – t, y =…

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Q: Evaluate dV, where E lines between the spheres a+ y + z = 9 and E 2 + y2 + z? x2 + y? + z2 = 16 in…

A: The answer is in step 2

Q: /| a² + y? – z dS where S is the part of the cone z² x2 + y? that lies between the planes Evaluate z…

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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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