QR MN ZN = ZR QS MP RS Given: NP Prove: R N

Q: SR PR 30. Given: TR %3D QR Prove: ZS = LQ P. R S T.

A: Given two triangles ∆PSR and ∆QTR with PRTR=SRQR that is, the sides of the triangles are equivalent.…

Q: Find r'(t).

A: We have to find r't: rt=4ti+t2tj+lnt2k We know that dxndx=nxn-1d lnxdx=1xd lnfxdx=1fxd fxdxdxdx=12x…

Q: b) IJ 3D 10 ст, НА %3D 11 ст 55° H 25° J 140° В 60° K AK =

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Q: State what additional information is for the reason given. 19) HL W A) RS = RW B) ZTRS =LXRW C) ST =…

A: In the question we have to find additional information is required in order to know that the…

Q: Ex. Evaluate ff y ds where S is the portion of the cylinder x + y = 3 that lies between z= 0 and z=…

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Q: Q M R 4, and MR = 8, find the area of AMPO 10, RP AMPQ, QR 1MP. If MO In 4

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Q: Q R 4. If OR 1 PQ at S, mLPQ 3 12 cm and 0S = 8 cm, Find SR.

A: Use circle theorem

Q: The integral | Vx² + y? – 9 dxdy. where D= {(x,y) € R? : 9 < x² +y < 25, x < 0). equals 128 O (A) 3…

A: The given integral is                                         ∫Dx2+y2-9 dxdy Where…

Q: m2Q = %3D R 41 57 T mZR %3D mZS : %3D 137"

A: Given: Let the circle with the center T. To determine: The measure of the angles Q, R, and S

Q: Hawis Find d Vand V2if vI+2V2=31-k and 3V-V2 si+j+k

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Q: 48. sec r dr 3

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Q: Given the following : 7 = ri + yj + zk u = ai + bj + ck (In where a,b,c constants E R.) Please…

A: To show that divu→×r→=0, first we use the definition of cross product of two vectors then the…

Q: R Given: VS = TR and ZTRS = VSR Prove: ARST = ASRV

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Q: Given: ALMN and APQR are isosceles. M _(2r – 26)* (x + 16)° L. P What mZQ could be used to prove…

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Q: Square HJKL with LJ d? Given: d Prove: AHJKL 2 K d. J

A: given: square HJKL with LJ=d. the given figure is: we have to prove that AHJKL=d22

Q: 6. What is the length of JL? Show complete work!! K M

A: Applying Pythagoras theorum first Then similar triangle property Note- we take corresponding sides…

Q: J) 11"+2 + 122n+1 divided by 133 , Vn E N*

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Q: dz where c is |z=1 z'e? Evaluate

A: ∮ f(z) dz = 0 when no any singularity lies within region of integration. But if any singularity lies…

Q: 3. Find x in ДPOR. R 12 О 13 О 15 О 16 O v60

A: We have to find value of x

Q: The Hausdorff dimension of {z ER : |æ| = 4} is d. Answer: = P

A: Hausdorff dimension of the given set is d=5.

Q: Complete the following proof. Match the number with the correct piece of missing information. K…

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Q: Find r'(t) = 8Vti + t?Vij + In(z²)k r'(t) =

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Q: ments is defined as N(a+bV2) = |a^2 ^2].Prove that for every a, bER (b 6= 0)it is sible to find q,…

A: Sol

Q: Complete the congruence statement. A KLN= A by J. %23 %23 M Your answer: A MLN by SSS A LMN by SSS A…

A: By sas rule

Q: 27. Evaluate xe +y+ dV, where E is the portion of the unit ball 22 + y? + z? <1 that lies in the…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: When two resistors having resistances R1 ohms and R2' ohms are connected in parallel, their combined…

A: It is given that, R=R1R2(R1+R2)   According to the definition of partial derivative, when we take…

Q: When two resistors having resistances Ri ohms and R2' ohms are connected in parallel, their combined…

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Q: When two resistors having resistances R1 ohms andR2'ohms are connected in parallel, their combined…

A: R=R1R2R1+R2show that,∂2R∂R12∂2R∂R22=4R2R1+R24

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: R Given: RT = QT, AT = ST A s, Prove: AQSTARAT

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Q: Under a change of variables æ = u², y= v³ , the infinitesimal element of area dædy becomes 3u?u°dudv…

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Q: %3D otheowis Jiven that Pa) is apd f O find c ?!

A: 1) The value of c is obtained below: Given pdf is, f(x)=cx, 0≤x≤2 ∫02f(x)dx=1∫02cxdx=1   cx2202=1…

Q: What is r' (x) when r(x) = In ? Select the correct answer below: O Pu) = - Sr+1 O rw = - Sr+1 x) = !…

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Q: Given: OM ER, ME = RO Prove: LM = LR R M

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Q: Complete the proof. Given: ZK = ZM KL = ML Prove: Δ/ΚLΔΡΜL 7. M P Statements Reasons 1. ZK = ZM…

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Q: of the lengty Qud wihty of a chocolate bar of Find 2. The sug Sayare cro53 section is 48 milli meter…

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Q: Use the substitution formula, f(u) du where g(x)=u, to evaluate the following Integral

A: We uses substitution method to solve these problems

Q: Given y = 3" . In æ , what is dy 2 * = 3" (In x) + 37 dy dr 3 = 3" (In 3) (In æ) + dy dr 3" (In z)²…

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Q: When two resistors having resistances R1 ohms and R2' ohms are connected in parallel, their combined…

A: In partial derivative, we treat one variable at a time. For a function of the form z=fx,ygx,y,…

Q: see attached for question

A: Given that ∆LMN and ∆PQR are isosceles triangle. We need to find for what value of m∠P ,∆LMN≅∆PQR.

Q: R Given: RS UV RT RS Prove: VT VỤ

A: We are given the two triangles as :…

Q: m= 43.1 cm, ZK = 40°, and ZL = 65°. Determine the lengt %3D %3D M k 65° L 43.1 cm

A: Please refer to the image below

Q: K is between J and M. L is between K and M. M is between K and N. If JN = 14, KM = 4, and JK = KL =…

A: = Here given that , K is between J and M ,L is between K and M .M is between K and N .and JN=14 ,…

Q: 28. Given: QT || RS QU Prove: RV UT Vs U R V

A: Given, QT||RS

Q: Evaluate : dz where C is the cirlce z – 2=1.5. 8 Ti 4 Ti -8Ti |

A: Residue theorem: The function f(z) is analytic inside a contour C except at z=a then the integral ∮C…

Q: SOlve the inihal problenm. shouid be in Porm y=--. -3 dy = (38t+51) dł Y () =0 %3D

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Q: When two resistors having resistances R1ohms and R2 ohms are connected R1R2 in parallel, their…

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Q: 9. For the cur ve x = t – In t, y = t + In t, find d²y/dx².

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Q: Solve for x in the figure * AJKL is isosceles with KJ = LJ. K x+3 X-1 J 2х- 5

A: Since, triangle JKL is isosceles, so, we have, KJ = LJ

Q: Find Jw Using te qppropriate chain rele sing w= x+y²+Z y=5t čos s where X =5t sins j 2=D9st

A: Given that, W=x2+y2+z2, Where x=5tsins, y=5tcoss, z=9st2 Calculate the value of ∂W∂s by using the…