E is the midpoint of FG DF = DG Given: Prove: DE I FG

Q: R 1. If OR 1 PQ at S, mLP = 30 and PO = 12 cm, Find PQ. %3D %3D

A: Explanation of the answer is as follows

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: T is the midpoint of PS and R is the midpoint of  QS. If PQ=v–14 and RT=v–36, what is the value of…

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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: Find the moments My and My about the x-axis and y-axis, respectively. 306. R = {(x, y)|9x² + y² ≤ 1,…

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Q: M is the midpoint of AB 2x + 1 and MB AM = %3D 1 ond AM

A: Given;- M is the mid point of AB AM=2x+1 and MB=3x-2    Therefore, AM=MB 2x+1=3x-2 3x-2x=1+2 x=3

Q: s given that PORSIS a rectangle. If PQ = x and QR=y, express in tems of x and y a) RP b) PT where…

A: Since PQRS is rectangle ,so every angle is of 90°.To find a) and b) We use Pythagoras

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: What is the domain of r(t) = e'i + j+ (t + 1)~³k?

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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: 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: R. 4. Use the information in the figure and prove that VC = CX, making use of reflec- tions. [UCSMP,…

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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: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we know that lnmn=lnm+lnn similarly, ddxlncx=ddxlnc+lnx=ddxlnc+ddxlnx…

Q: |Q3/ By using definition, proof that d cot x dx - csc? x.

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Q: Please evaluate (3y – ein(e) dx + (7x + Vy* + 1) dy, where C is the circle a? + y = 9. Hint: use…

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Q: The area, in square units, between the curve y = 4|x and the x-axis on the interval [-3,4] is…

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Q: Evaluate y*dx – a*dy, where C is the boundary of the region between the circles a? + y² = 16 and %3D…

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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: J is the midpoint  of ct. cj=3x+8 and jt=6x+5. find ct

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Q: Use the given information to prove that DG=FH. F Given: DE = FG EG GH Prove: DG = FH H.

A: Given: DE=FG EG=GH

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: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36…

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: R is the midpoint of QS and T is the midpoint of SU. If QU = z and RT = z – 43, what is the value of…

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Q: Evaluate [[(x +y +=')² dV, where Q is the solid hemisphere (E sphere) enclosed by x +y² +z² =1 and…

A: ∫∫Ω∫x2+y2+z232 dv,   f:x2+y2+z2=1 use spherical conditions x=ρ sinϕ cosθ, y=ρ sinϕ sinθ, z=ρ cosϕ…

Q: Evaluate tot? xe*< + y2 + 22 dv, where E is the portion of the unit ball x2 + y² + z2 s 1 that lies…

A: Triple integral

Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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Q: M H Given: Isosceles AFJH with FJ = FH 2у + 3 5у 2y The perimeter of AFMN FM NH JH %3D Find:

A: Consider the given figure: Here, FJ≅FH……1 and, FM=2y+3……2NH=5y-9……3JH=2y……4

Q: Show Your Work P is the midpoint of TX, ZAPTE A, Y T.

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Q: 3. In the diagram below, AB = BD = 5 and AD = 7. %3D %3D Is BD tangent to OC? Explain.

A: Given,      AB=BD=5 and AD =7 We need to explain is BD tangent to C?

Q: Evaluate fff(x +y +:' dV, where a is the solid hemisphere (half of the sphere) enclosed by x +y+ =1…

A: Here in the given question, find the integration of the given function:∭Dx2+y2+z232dVWhere Ω is the…

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: e? dz, calculate give integral. When C is a circle z= 2 (z – 1)

A: Introduction :

Q: What additional information would you need to prove ATRO AOMT by the HL theorem? TM OR TR TM C LOTM…

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Q: Evaluate f, (2x? + 2y2) dS, where S is the portion of the cone z2 = 8x2 + 8y2 for 0szs 4V2.

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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: fro assoc е топоwing probat df = 8, P(t 2 2.306) give degr с. df%3D21, Р(—1.323 <1< 3.1

A: We are authorised to answer three subparts at a time since you have not mentioned which part you are…

Q: W is the midpoint of VX and Z is the midpoint of VY. If XY = t +41 and WZ = t, what is WZ? %3D W WZ…

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Q: What is the tangent of ratio of LT? T. 93 R. 17 14 V93 a. 17 b. 14 J93 C. 14 17 d. 17 14

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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: Given that f(t)dz what is 13 f(s)ds? 11 enswar

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Q: Expend flx,y) stan' (")n pow ers 6f Cyリ Up to third clegree torms. Hence, Com pute f(1., 0.9)…

A: Given: f(x,y)=tan-1yx

Q: J is the midpoint of HK. What are HJ, JK, and HK? H 9x-2 J 4x + 13 K

A: Given, J is the midpoint of HK¯

Q: B E F A D

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Q: W is the midpoint of VX and Y is the midpoint of XZ. If VZ = p + 28 and WY = p, what is the value of…

A: Given W is the midpoint of VX and Y is the midpoint of XZ If VZ=p+28 and WY=p, to find value of p

Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: Using Green’s formula, evaluate the line integral ∮C(x−y)dx+ (x+y)dy, where C is the circle…

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Q: Determine the order of the DE. а) y' + у %3D 5у? b) = t dy dt c) y' = y" + 5t2

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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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