2. 2. (xij-X-) Xij-.. prove thate

Q: (b) For what value of u have the following homogenous equations non trivial solutions? . (1 – µ)X1 +…

A:

Q: 1. Express the followings in the form of x + iy where r, y E R.(choose one.) (a) 금+ 부 (b) ( + ) ( –…

A: Rationalise  all the term and calculate to get the final answer.   Actually as per the barteleby…

Q: 9. QR 10. Point A 11. TQR T. 12. TQRC 13. Point B R. 14. ZTRC 15. ZTPQ

A: The given figure is a circle with center P. (9) QR⏜ is the minor arc for the circle and subtend 90°…

Q: |: Use Mashematizel Induethon to solve bhe followbing; j I(2") + 2(2²) + 3(2-³)+.. .+ n(2^)…

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Q: Given that Z2a = 1.38 %3D Find the value of a O 0.0419 0.1676 O 0.0838

A:

Q: 10e? dz by residue theorem, where C'is the contour z| = 2 1:4 + 52ª Evaluate

A: Complex integration

Q: Vx e Z, 3y e R, y² = x

A:

Q: 2. y" – y – 2y = 4e¬t %3D - -

A: Solve the differential equation

Q: 10e dz by residue theorem, where C is the contour |2| = 2 Je 1z4 +5z3 Evaluate

A:

Q: Evaluate by Trigonometric Substitution: * Vx² – 9 6. dx x2 Vx2 – 9 +C (6– 2*^ + x) u Va-9, b. In (x+…

A:

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: 8. For what values of x and y will both equations be true? 3x - -= y, 2y = x + Drag and drop the two…

A:

Q: * S[*****] = Yg = 1 + +x² + %3D + de 1 + x* + 24 3 1 + 24 3 오4 4 +x2 +x + T 24 3 4 24

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Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

A:

Q: & 28 root f x+ px'+ q* + rz0 One 3. equals the roob . Prove that px + 9x + r=0 * the ts other sm 3 +…

A: Given that, One root of polynomial x3+px2+qx+r=0 equals the sum of the two other roots. We need to…

Q: (a) Use the Intermediate Theorem to prove that Vx + Vx + 7 = 3 has a solution in the interval [0,…

A: We have to use intermediate value theorem.

Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

A:

Q: p* + 51³ + t² + 5t + 5 -dt = 1? +1 (Type an exact answer, using t as needed.)

A: NOTE: Refresh your page if you can't see any equations. .

Q: c) Show thiat det a q² -k-1)(61)-) I <a<b %3D

A:

Q: F.ds, W by the pl

A:

Q: Suppose a car’s value depreciates according to the model V(t)=24(4/5)t Find the exact value of r…

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Q: Prove that : V.(V×A)=0

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Q: 6o..prove.thats U. W V.W U.r V.r L

A:

Q: 1 Assume that 1 < a < b_and equation is solvable. + x = Show that this * – b'

A:

Q: Find the value of zo so that dz = -2ri Izl=13 (z – z0) (z – 14i)

A: Given integral is ∫|z|=13z(z-z0)(z-14i)dz = -2πi   ---(1)

Q: What is the value of x in (2x - 1) + j(x + y) = (y - 6) + j(2y - 4)?   Answer in rectungalur form

A: We have: 2x-1+jx+y=y-6+j2y-4 Comparing both sides: 2x-1=y-6                  ....(1)x+y=2y-4…

Q: B) Find real numbers x, y, z for the identity below 2xi + 2yj- 2i + 3j + 2k = 3i -j+ zk

A: (2x-2)i+(2y+3)j+2k=3i-j+zk On comparing both sides

Q: i) (i × j). k = 2.

A: This can't be equal to 2.

Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

A:

Q: Find Duf at P. f (x, y) = 3(1+ xy)/"; ху)"%; Р(3, 5); и%— 1 1 i+ j V2 u = NOTE: Enter the exact…

A: Given function is  f(x,y) = 3(1+xy)3/2 and point P(3,5)  And u= 1/√2i+1/√2j  We have to find out the…

Q: S T6 dar = tan-i +C 1 –1 16+z2 4 True False

A:

Q: 4. Which of the following is a Legendre's equation? a. (1-x²)y" - 2xy' + 3y = 0 b. (1-x²)y" + 2xy' -…

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

Q: 1. Determine whether the statement is true or false. If it is true, explain why. If it false,…

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Q: thereducedsystem yBY -t -t it CI

A:

Q: Express the following functious by Cartesian equetion r=4 tano seca r= 4 CSCO 2 t=l+2rcosa

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Q: Determine that; 2+ni/ mi/a = (1+ i) i. 2+7 ii. eiy+2ni+x = ez

A: As per the instruction, we will be solving only the first question. For (a), (i),…

Q: Find the value of zo so that dz = -2ni Pst-12 (= – z0) (z – 14i) |

A: Given ∮|z|=12z(z-z0)(z-14i)dz = -2πi

Q: 2. f(t) = (t + 2)² et %3D

A: We need to find Laplace Transform of , f(t) = t + 22et We know Laplace Transform is given by , Lf(t)…

Q: L FA 9 8 Given that T = 2л, express L in terms of , T and g.

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Q: 13 IT (y-4)dy 3 -2 T (9x -x*) dx

A:

Q: 6e? Evaluate dz by residue theorem, 9z4 + 45z3 where C'is the contour z = 2

A:

Q: 5. (a) Solve the equation + ) = 1. ( Hint: Let v = uz) %3D

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Q: z) = x' - 4r – 12:r² + 32z + 1- by commas. Enter exact values, not de

A: Find all the real zeros of f(x)=x4-4x3-12x2+32x+15. Given that f(-3)=0, f(5)=0

Q: 2e Evaluate dz by residue theorem, where Cis the contour 2 = 2 c 9z4+45z3

A:

Q: c. Use De Moivre's theorem to find the following: 4 i. [1+ v3i]*

A: Dear learner, As per our guidelines, we can provide the solution for first one only. Kindly post…

Q: Use the algebraic definition to find ix w if i = 2i + 2j – 3k and w -2i +j- 3k. - %3D i x w =

A: Given: v=2i+2j-3k And, w=-2i+j-3k

Q: C. Prove the Converse of the Hinge Theorem. Given: AB = DE, BC = EF, and AC > DF Prove: m1 > m/2

A:

Q: Find r'(t) r(t) = 8Vti + t?Vij + In(2 )k

A: Given,          rt = 8t i + t2t j + lnt2 k

Q: Q.2 Use ODE methods to solve the PDE: U-U₁5, U₁(x,0)=3x², U(0,y)=0 *****

A: Introduction: There are many different approaches that are useful to solve a partial differential…

Q: Q1. Consider the two different losses: (i) zero/one loss where Ai dij = 1 and (ii) generic loss…

A: Given Consider the two different losses: (i) zero/one loss where A₁ = 0 and Aj = 1 and (ii) generic…