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Q: If i = 5+2, à = x - ỷ and b = j – z , show that a =

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Q: Evaluate: tan -12ß dß. A ß tan-128 – In|1+4ß²| + C B none of the given choices ß tan-12ß+ -In|1+48²|…

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Q: 10 01 /Find the det AB| where A = 0 1 0& B = 2 1 4 1 -5 2

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

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Q: aF1 F. dr = -3 in D, use Green's Theorem to determine Jc, aF2 Referring to the figure, suppose that…

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Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

A: The objective is to find the double integration where  R=[0,1]×[0,2]

Q: Please answer in typing format for like

A: Given : For two events A,B∈Ω,(i) P(B|Ac)= 0.1 (ii)P(Bc|A)= 0.8(iii)P(A)= 0.4Where Ω is the set of…

Q: x coth¹x dx = r² coth¹x + + C Prove lut Prove that the right side is equal to the left side الرسم…

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Q: 2= S<(-t) t Sx Tb+ Sx n find the fourth %3D denivative

A: The third derivative is given: x⃛=S−t+Sτb+S˙n Here all the symbols are not explained properly…

Q: = coszo +isin 20 1-itano

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Q: 18-19. Find the value of x so that ACAB - AFED. E B x - 1 4, 16 A 8 D 3(x + 1) F

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Q: Shaw that +8e cost+ 9e sint 4.

A: Some of the special formula regarding Inverse Laplace L-11s-a=eat L-11s2+a2=sint L-1ss2+a2=cost…

Q: let w- f(xy) and y in Poluy Cordeinate then a+yS %3D or or or 7.

A: Given that, w=fx, y And x and y is in polar form that is, x=rcosθy=rsinθ

Q: () Let z = x + iy. Find Im and Im 2 in terms of x and y. Im Im z2 ||

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Q: pls help on all asked questions pls

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Q: Given that J(9, -4), K(6, -10), L(1, -1), and M(x, 4), find the value of x so that JK LIM.

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Q: Let triangle PQR be as shown, with P = (#1, #2, w3), Q = (v1, v2, y3), R = (z1, #2, z3). %3D R P )…

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Q: (+7.,(9-3) p ind G LD (+) t S+1+ひ!S

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Q: 公立 A 8. 12 12 C 16 F AABC-A (last blank must be a number) CA DE CB FE FE CB CA DF : ΔΕDF : ΔDEF :…

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Q: Given u = r² cose and v= = rsin²0, please write down the expression of ər 3 and 3 ди by (r, 0)

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Q: It is known that 3 3 S³ S² emax {x,y} dydx = ae³ + b, where a, b are integers. Determine the value…

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Q: 10. Find all analytic functions such that its real part u = u(x, y) satisfies the differential…

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Q: Determine сх. Ха either O or I and the number of rectors Xn) such that Xi is 1 Σ xidk

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Q: 22. If (-1, 3, 5) x (0, a, 1) = (-2, 1, -1), determine a.

A: Given data is : -1, 3, 5×0, a, 1=-2, 1,-1 To determine the value of a.

Q: q9

A: Finding the projection of u → onto v →:   projv →u →=v →·u →v →2·v →Here v=2i-2j-4k or (2,-2,-4)…

Q: For two real numbers x and y, if 2x + 3y > 7. Prove by contradiction: 18, then either x ≥ 3 or y ≥…

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Q: Let z = x³ 3xy² + x². Zzz = Zzy Zyz Zyy -

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Q: 14) Find CA 12 14 3+3x L. 4x+1

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Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

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Q: 5. /(들+ 4) dt + 4t3 ) dt is -+ t+ + C, b.는+ t® + C,c.는+t+ + C а.

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Q: xpress cach the Fall owing int augls. in herms of amma bnchien wnd Simpliky wherepossible.

A: We have to write given integral in terms of Gamma function.

Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: Creani Cet G4)= ti t2+34)j +4k HICH) = 2JF L+3tj + find a) H4) XG4) (1+24)k こ b) G4). HGE)

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Q: If u= 2i +3k and v = j– k, then

A: We will use formula for cross product of two vectors