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Q: 1. In the following diagram, PA is tangent to 00 at A. If mBC = 50' , m/BEC=60', mBD=x and mAC = 2x+…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

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: 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: Let f (z) = 3z, O = ) A = 10and B = 10 +10i. Let C¡ be the contour composed of the line segments O…

A: Note:-if  z=x+iy  then  z =x-iy Given that   fz=3 z  fz=3 z =3x-iyfx+iy=3x-iy Also, given that

Q: In the figure glven below, RU || SV and RU || TW. Match the reasons glven In the first column with…

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Q: Find the moving tri hedral of f R CE) = t, 2E> at %3D

A: This is a problem of differential Geometry.

Q: GIVEN: SR = ST; MP 1 RS, MQ 1ST, Mis the midpoint of RT. PROVE: PR= QT 9. R. M.

A: Our objective is to prove the given result

Q: Consider the diagram below. 10 6. .P 10 8 642 24681D To 8. Find a combination of rigid motions that…

A: The graph is The points are P -2, 1, A-3, -5 and T-10, -5. Translate the points: x, y→x, y-4 Then…

Q: Give for the line through the point a vectur parametri? eauatiun Cl-2) that is -4,41345pendicular'to…

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Q: b) Plot for A brietly comment y=Au n trans formation on the length and width Pa A of the oom.

A: Given A=300-1. For xy∈ℝ2,  Axy=300-1xy=3x-y Therefore, GraphA=x,y,3x,-y|x,y∈ℝ2 For example if…

Q: Show Whát You KhOw: Properties POSSIBLE AC = 36 cm, and BC = 27 cm. A Verify that DE || AB- 20 cm C…

A: Solve the following

Q: Evaluate //. dV, where E x2 + y² + lines between the spheres x + y + z? and x + y? + z2 = 25 in the…

A: Consider the provided question, Evaluate ∫∫∫E1x2+y2+z2dVwhere, E lines between the sphere x2+y2+z2=1…

Q: Türkçe: z = 16 - x? – y? paraboloidi, x? + y? = 8 silindiri ve xy-düzlemi ile sınırlandırılmış katı…

A: Given, z=16-x2-y2 paraboloidx2+y2=8 circle To find: Volume of solid

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: 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: Which sequence of rigid motions will definitely work to take triangle GHJ U H. Rotate GHJ using…

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Q: In the diagram below, a sequence of rigid motions maps ABCD onto JKLM. If m Z A= 82°,mZ B= 104°, and…

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Q: Let f (2) = 2z, 0 =0A=8and B=8+8i. Let C, be the contour composed of the line segments OAand AB(in…

A: The given problem is to evaluate the integral of given function along the given paths. We have to…

Q: Et eNcise the fo is linemr OTDE which of eii> +* - 1ogx dy

A: Given some differential equation. We need to find which of the following is linear differential…

Q: c) By using Green's theorem, evaluate (In (r) + ry – y²) dx + (e" +x²y - 3ry) dy, where C is the…

A: Green's therorem establishes relationship between double integral and line integral. Double integral…

Q: 1)calculate a*yz dædydz where D is the rectangular parallelepiped 1< « < 2,1 < y < 2,1 < z < 5

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Q: ADİS a perpendicular bisector in triangle TOY. Determine which of the line segments are congruent.…

A: The figure of the triangle with AD as perpendicular bisector in triangle TOY is given by To…

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: Mis the centroid of ADEF. DM = 8 J MJ = 2y M EM = 6 K FM = 2x F DK EL , and FJ are O A. altitudes B.…

A: DK , EL and FJ are medians. Option C is correct option.

Q: Find T N ¢B for the carve at the indlicated pont Carレe posnt r(t) = at

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Q: In trapezoid WXYZ with bases ZY and WX, ZY = 12, Exercises 19, 20 YX 10, WZ 17, and ZD = 8. Find the…

A: Given: ZY=12 YX=10, WZ=17 ZD=8

Q: Find the mZR in trapezoid QRST where QT||RS below.

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Q: Given AACE, B is the midpoint of AC and D is the midpoint of EC. C 1. BD |. 2. mz1 = 48, what is…

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Q: be the limear troumformation T:R¬R? ([:]) = [], T(C:1) - [:]. et, ㅜ Buch that %3D et, Them ([:]) +…

A: The encircled term is  xy=y11+14x-y440 Theorem: Let v be a vector space of dimension n. Then any…

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

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Q: 3. Given that g(r, y) = x² + y? subject to ry = 1, show that g(x, y) has no maxi- mum points. (Hint:…

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Q: WY = WZ bail M is the midpoint 40. Given: of YZ MX 1 WY MT 1 Zojpib tisz ow Prove: MX = MT 41.)…

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Q: Find the unit fangent sector t for the currve : r=ti -2tj + 3t°k Y =a sin wt i +a Ceswt j %3D 2- r…

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Q: Use Green's Theorem to calculate (422 – 3yx)dr + (3xy+ y² + 6)dy where C is the circumference (x –…

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Q: B. 17) Given: 00 with diameter AC and tangent BF ; m AB = 130°; m CD = 60° %3D %3D Find: a) mZ BEC…

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Q: Given a tuuo Varialle findio ulm,t) =_\ _ė K ù a contant 2 show that du kou Ž Evalnati S uln,t) dm

A: The given function is: u(x,t)=14πkte-x24kt

Q: In ARST. U lies on TS with TU:US = TM intersects RS in V. Find the ratio RV:RS. 2:3. M is the…

A: Given that, U lies on TS with TU:US=2:3.  That is, if TU=2x, then US=3x. Also, TM intersect RS in V.…

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: (a) Find the point of intersection between the curv urve r(t) = (cos(at), sin(at), t²) and the…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: 8. ABCD is a trapezium such that DC 3AB. If L and M are the midpoints of AD and BC respectively,…

A: Take length of AB as x and the DC becomes 3x. Also draw dotted lines from A and B to create four…

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: B is the first quadrant part of the region enclosed by the circles x2 + y? = a? and x2 + y? = b2…

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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: 4. JK, KL, and LJ are all tangent to cirele O1 JA = 13, AL = 12, and CK = 9. Find the perimeter of…

A: Triangles

Q: Find the raclius af cunvature af the cuTYes : 1- Y: 2ti + CIA)j -2tk ot (2,1,-2). Y ti +ti +tk at…

A: Here we have to find the radius of the curvature of the curve,  1) r=2t i+1t j-2t k at 2,1,-2 2)…

Q: Which rigid motion or sequence of rigid motions maps parallelogram ABCD onto parallelogram JKLM? A B…

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Q: Let f (z) = 67, O = Q A = 9and B = 9+9i. Let C¡ be the contour composed of the line segments OAand…

A: The given problem is to evaluate the complex integrals for the given path with vertices.

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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