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Q: O8+ Cataulali (he volume v dune of paallelpipad detemined by The veilois 3i+2K +3k. う

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A: I have proved Linear transformation using the definition

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A: The conditional probability formula is, PA|B=PA∩BPB The row totals and column totals are,   0 -…

Q: - check the exi's tence of limol of the Lunetiom 41n at X= 1 %3D 2X+/ こ Xラ-3

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Q: Find the second partal derkatives of the funenion Fx.y)- 2y o a6, 4y? 6x ду 6x. 4y aydx 器 4y o a 6x…

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Q: sent that by a positiv ntity N(0) is 2.

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Q: 6. Give method for finding UMPU test for f(r1,.R:01,02, .. 0k) = B(@)e£0aip(x) and 61 = 6o Vs 01 >…

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Q: Find the rank of A= = xS+ x + invertible. [exham S] O A MOITERUD 225 10-4 and explain why it indic 4…

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Q: 3) suppose fle) is a defferentiale funchou on the interval E-7,1J Such that H-7) =4 and fli)=1.…

A: Given, A function f(x) is a differential function on the interval -7,1 such that  f(-7)=4 andf(1)=-1…

Q: Use Meithemeıtical Incluctionn to prove that for ail W with nz 2 イナ·ナ 1 1t 2-3 1 t 3-4 0-1 1 2…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: if JERLA.b] and it hex)- J(x). except for finite mumber of Paint in Cab] then that he Rlab] prove.…

A: if g ∈R[a,b] and if h(x) = g(x) except for a finite number of points in [a,b] then prove that h…

Q: Prove by mathematical induetion. Ine I+2 +2+2 +2° = 2.

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Q: af af дх ду af az and of. HINT [See Exam Find 24 fx, у, 2) : x² + y2 + z2 af af ду af az %3D

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Q: The DE : y = e-/Y is seperable Select one: O True O False on

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Q: Let Y= E an x" ) compute y'aned y"and write out the first four terms of each sexies, as well as the…

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Q: 5. Use De Moivre's Theorem to evaluate (1 – V3i)%.

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A: c = 3explanation is given in below step

Q: Q: Prove that tim x"- a" %3D

A: we have to find the limit of the expression

Q: Inand consicr HeLines (tn) venfy Al-5,-6) isapoint of (d) 2) prme Hat (4,)-b de] 3) Cans tract (d1)…

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Q: Proue that || A|1maπi <j <n 1 Σajl . m

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Q: (3) Let A be m x n (not need to be square). What is the sum of the diagonal elements of ATA in terms…

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Q: fad the general solution of the dipferential equntion gven below.

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Q: 03) find the ax en the sl abetwed wol y=J2-X, and y= 0

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Q: Then show that N(A) = R(AT)+ and N(AT) = R(A)+. %3D 11-1 02-3 -1 1-2 N(A) = N(AT) =

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Q: 10- Prove that a.b3D la+bl2- la-bl? /4

A: Prove that a.b= la+bl²- la-bl²/4

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