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Q: | 21×VX2 + 1 dx = 14 2- 7, what is 21uV u2 + 1 du? Given that %3D

A: The properties of definite integral is ∫abf(x)dx=-∫baf(x)dx. Use the property of definite integral…

Q: Find the Ye neral solution of the eguation. 6y"_5y_4 y =o %3D

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Q: 2 sinºe cos³e de= 60 a O 120 b O 1 .c O 60 .d O 120

A: We have to solve given problem:

Q: 2. Cuven that 7, = -2 +ui, Z= -2i + 3 and E, - |-i. Gvaluate the followshng %3D 2 | 국 2

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Q: 5.Use thelefinition to Rrave that Jw wh- 2

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Q: dt (e2t + 8et + 7)ā et+4 a) 9ezt +8et+7 +C b) In(e2t + 8et + 7) + c 2 c) 5Ve2t+8e*+7 +c e4t d)…

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Q: "he pmf of X is 4.x – 1 - fx(x) = where x = 1, 2, 3 %3D %3D to

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Q: XYZ is given with X(2, 0), Y(0, −2), and Z(−1, 1).  Which of the following can be used to prove that…

A: The answer is given as follows :

Q: Convert the differentral equatim into e S and Save nhe System: (20-70-4y)%3D0

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Q: 9 IP A,Be Mnl(R) with A being nou-singular, show that (A-B) A-! CA+B) = (A+B) A! CA-B) %3D

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Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

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Q: Oa Consy der he irlokonA Pram domain I 4.5.67 bo Codomaa row on oiraw DDiosiom brocelo kon A. ) is…

A: Definition: A function from set A to B is a relation in which every point in domain has unique image…

Q: 5. What is UF, where F = Ø? Prove the correctness of your %3D | computation. answer

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Q: (b) In(2x2 + у — 23) %3D х

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Q: b? – a? x dx 9. - Proof Prove that 2 a

A: This can be proved using Fundamental theorem of calculus. The second part of the theorem is used.…

Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

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: Show and use d(Xn, FCN))<« d(Xn-1 'x) Vny? To prove X = fx) %3D

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Q: DE : -t de dyx= 3et dt with indial conditins : xl0)=6 yl0)=1

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Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

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Q: 2. Let X, Y c R. Prove that X U (Y – X) = Y if it is true. If not, give counterexamples to explain.

A: Given statement is false.

Q: 5. What is UF, where F = 0? Prove the correctness of your %3D answer / computation.

A: To find- What is ∪F, where F = ∅? Prove the correctness of your answer/computation.

Q: Use Cramer's ru;e to fins a solution: 5x+4y=12 3x-6y=24

A: System of equations are 5x+4y=123x-6y=24

Q: O prove that : (2) DO 2x e dx a e +b where a, b >o

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Q: Use Greens Theorem to evalute fyx² dx + x²dy as shown below Leh Half of (0,5) +y-25 (0,-5)

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Q: If x,y,z are real numbers satisfying the equation 25 (9x* +y° )+9z²-15(5xy+yz+ 3zx )=0 then prove…

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Q: lar, let m = 2 and n e of A and B such that

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Q: 4.2 ezt So 2(z – ni)3d%, with C : |z – 3i| = 1.

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Q: In R', the point (1, 1, 1) does not belong to the cylinder x + y = 2. Select one: True O False

A: Given problem:- In R³, the point (1, 1, 1) does not belong to the cylinder x² + y² = 2.  True  False

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

A: Demoivre's Theorem

Q: W Given: OWXYZ with diagonals WY and XZ Prove: 21 = 22 2

A: Given: In figure  WXYZ is a rectangle with diagonals WY and XZ. To show: ∠1≅∠2

Q: What conjecture tells you that ALUZ is congruent to AIDA?

A: Given the two traingles ULZ and IDA

Q: 63. r(и, v) %3D Зи сos vi + Зи sin vj + 18u'k ||

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Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: Ju 20²u c² of2 (r, t) = u(x,0) = 0, ut(x,0) = 0 u(0,t) = 0 u(1,t) = 0. da2(x, t) + XX , 00,

A: Introduction: The basic method to solve a partial differential equation is the method of separation…

Q: Solve (y(1+1) + coxy) dan + [n+lope-nsmy] =

A: 25. The given differential equation is                                     y1+1x+cos ydx+x+log x-x…

Q: Use Cramer's rule to solve for z. Зх — 4у + z %3D 3 2х + 3у = 8 5y + 8z = 11

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Q: /show that fo-1x is-Contindals everywhere.

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Q: 2. In OABCD, ZA = x, ZB = 2x +60. ZD = Draw a sketch to help you.

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Q: show that fo=Ixl is Conlindalus everyuhere

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: What theorem shows that GTY = GUX? Osss O SAS O AAS O ASA

A: We have to check

Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: uppose that X~N(µ, o²) and that P(X 3.6) = 0.6554, what are the alues of u and o?

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Q: Find the enclosed by. Volume r= 2cos 6 ×*+ッ+2- 4 .

A: Find the volume

Q: Find w a + bi = Jz, where a and b are real numbers. VE %3D 24+10i

A: It is given that w=z, where z=24+10i. Let w=a+ib where a and b are real numbers. w=z Substitute…