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A: Given that the Volterra operator, V:L20,1→L20,1is defined by                            Vfx=∫0xftdt…

Q: O Finl Cfrandz, where fr2)= Im z, C the Civek 121-Y %3D ( coumnter lock wise)

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Q: Which condition would prove AJKL - AXYZ? K Y 7 56

A: Two triangles are considered to be similar triangles if the corresponding angles of both the…

Q: O How does one fin d the domain of the q40tient of two furctiong t

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Q: By using the substitution u = x3", ir

A: Given, by using the substitution u=x3n, then   To find:   (1).   ∫nx3n-1ex3nex3n+8dx   (2).…

Q: Which theorem can be used to prove that ARQM APMQ H R P M

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Q: 18. M2VUT = 175°, M2VUJ= 17x- 3, and M2JUT=17x+8. Findx. %3D %3D

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Q: find quotent and simpfly: r^2-s^2/r-s divde by r/r^2-sr

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Q: Show that 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

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Q: Prove V²f(r) = d²f dr² + 2 df r dr

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Q: W ZYOZ & ZWOY are complementary MZWOY = 19x - 26 MZYOZ = 10x %3D Find the following: MZWOY = MZWOZ =…

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Q: Is the equation Ax = b consistent for all b in R^3? Explain.

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A: The null and alternative hypotheses are, Ho:p=0.67 Ha:p>0.67 This corresponds to a right-tailed…

Q: 2 Find z. TVans form afthe f.llowing (a) {finwns

A: Calculate z-transform for n≥0: Zsinωn=∑n=0∞sinωnz-n               =12i∑n=0∞eiωn-e-iωnz-n…

Q: 2. Compute the value of | V25–x² dr

A: Given data:   The given integral expression is I=∫0525-x2dx.     Assume x=5sint, and differentiate…

Q: 9. Suppose that R is a "rectangle"

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Q: Use z = a + bị to show that z + 7 = 2a and z - 7 = 2bi.

A: Given: z=a+ib

Q: the velue of x is fore which What the exponsion of 18-3x)- will be X. valid? SHOT ON REDMI Y3 AI…

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Q: QZ. Let fla) =8-6tx Then the empression: %3D flxth) -fGa) |

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Q: ® Find such that a hon-zero ordereol pair, AX=6X For 7 2 A = 4 14

A: Non zero ordered pair

Q: Q.8 If v = (x² + y² + z?)¯/2, prove that a2v + ду? = 0. ax2 az2

A: We find second  the partial derivatives lf given function with respect to x, y and z and then add to…

Q: K, is planar . K3,10 is not planar . K23 is not planar -. K7 is planar

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Q: Write a paragraph proof to show that ZABF is complementary to ZEBD. F D. A B

A: Fiɡure in which ∠ABF= x°, ∠FBE = x°, ∠EBD=y°, ∠DBC=y° To write a paragraph proof to show that ∠ABF…

Q: A The eineulafion of the vetere fiels Fu*,P| along the beudary of Hle sefn-{xy)cr2:0LYL8,-8172X44R…

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Q: fx, x, (*1 *2) = T6 IXl<4, 2 < X3< 4 are independent and orthogonal.

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Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Use Divergonce Theonem +2K S:bunded by ZPaye $ Z=4

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Q: ∠S and ∠Y congruent or supplementary

A: Given,           To find ∠S and ∠Y congruent or supplementary.

Q: which property is t=u+v u=9 and v=10 therefore, t=9+10=10

A: According to this property, when two numbers or integers are added, the sum remains the same even if…

Q: Disprove: X={r1, 12} iff V, (z E X +x=VI=T2)

A: To do: Disprove the statement…

Q: 8. b%3D 33, с %3D48 9. а %3D 2, b %3D5 10.b %3D 13, с %3 18

A: b=33, c=48

Q: (a) Show that (A B)? + |A X B2 = (AB)? %3D

A: Question a) (A.B) = AB*Cos(x°) (A*B) = AB*Sin(x°) where, x is the angle between vector A and vector…

Q: O Solve The Set of Imear eguatiomos af (2 - 3X - 2y +42= 9. -34-22=5 4X+3y-2Z=7 %3D %3D

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Q: are Qunctionwrite walltn in the form Waf(z) 242

A: Here, given that: u(x,y)=x2-y2+x, v(x,y)=2xy-yw=u+iv

Q: C) prave that sbatz = Clnrtt - an for all nE B, Nzl. %3D |

A: We will prove the relation of part c by mathematical inducation.

Q: if was T:R Linearidentifir grand father O KerT ImF

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Q: for bede plat for 6.02 dR -> 2 X2 3 = ২/ %3D g (2x %3D → fan 2. 2alg (60)- 4aloguw TY 45

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Q: Given: 2x' y°z ' + 5x°y*z8 7,53 6,48 f (х, у, 2) Required: fzyx » fxzz

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Q: Find the pointP such that v = PQ has the components (-9.75, 5.75, – 16.5). Q = (-7.75, 6.75, –9.5)…

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Q: 9. If VW = 9x - 11 and SU = 16x – 12, find WT.

A: Given VW = 9x - 11 , SU = 16x -12 , WT = ? STUV is a rectangle , W is the midpoint of diagnols SU =…

Q: 10) Let pla)= axtx?_4X. Simpify plad -pQ-)

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Q: ) Evaluate, using Cauchy formula C:2- (a) zz-l dz dz (6) ( e

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Q: Eliminate the parameter t in the X=2+4tant y=7+4 sect

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Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

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Q: Shuw that A s open and closed m (K,r) iPf Bd(A) = . %3D

A: Part (4) We have to prove that A is open and closed in X,ζ iff Bd(A)=∅. It is given that X,ζ is a…

Q: Suppose FW = Ax+B, with F6)-r and F() - 8, pind F) interms of A,B,r,s

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Q: else where fid the prohabi adicle betwam rn =0.45 d x:0.55 O Jo O Jo lity A friw (x)

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Q: Prove that (AC) =C" A" 6.

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