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Q: Express the following in the form a +bi 3. (012- 04i). Ans:-0x088*0. 016 i

A: NOTE:Kindly repost the other questions as a separate question. 

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two ...

Q: Express the following functrons in the form u+iv J. f(2)= 1In CI+z)

A: Given that,fz=ln1+zThe function is expressed in form of u+iv as shown below  

Q: If the spring-mass system has the equation of motion: d?x |dx|dx + a |dt| dt + kx = F, sin(wt) m dt2...

A: As per the question we have the following second order nonlinear differential equation : 2x'' + 5|x'...

Q: 69. (a) Use the Laplace transform to solve the heat conduction problem Ut = KUrx; 0 0, и (х, 0) — 0...

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

Q: c) Find the maximum value(s) of the function f(r, y, z) = x-2y+52 units sphere. on the

A: The solution to the given question is explained below.

Q: 64. Use the finite Fourier cosine transform to solve the heat conduction problem t> 0, 0 0, where u...

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Q: メ。 0 Po- 0 メ、 o2 Pi=0,82 Xえ 0 P3= ? P1,2=? Po,l,2=9385

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Q: Give a subset of R2 with standard operations that is (i) a vector space (show all axioms) (ii) not a...

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Q: 1 is 0 1 An eigen vector of the matrix A =

A: An eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes ...

Q: Q: Use Lagrange's Formula to Prove that :

A: Solution: We know that Lagrange's interpolation formula for unequal intervals is, f x =  x-x1  x-x2 ...

Q: -18 -11 -10 E adj A = 2 14 - 4 then absolute value of determinant 4 5 -8

A: In this question, the concept of the determinant is applied. Determinant Determinants are a type of ...

Q: 4 (V3 +i) (-2+ J3i Solve by using De Moivre's theorem and write the result in form of 5 -1+ x+ yi wh...

A: We will find out the required value .

Q: Express the following functions in the ferm u+iv J.f(2)= In (I+z)

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Q: Adding Find 2등 + 1.

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Q: Q1) Evaluate SSS, xyz dV, where Q = {(x, y, z): 0 < x < 2y, 0 < y < 1, 0 < z < x + y }.

A: Since you have asked multiple questions, we solve first question for you. For other question to be s...

Q: Show that the mogping LiPaRI-+IR L Carcaxtat = (asta, on) is liher trasfaret

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Q: Show that ea?,2 cos bx da = (VT /2a). a > 0.

A: Given integral is∫0∞e-a2x2cosbxdx=π2ae-b24a2, a&gt;0The integral is derived as shown below

Q: -20 9. F(s)=- s(2s° +s + 2)

A: Given: Fs=e-5s-e-20s2s2+s+2

Q: a) f(z) = 14/(z + 2z + 2) is a complex function, find %3D (1/Tt) S-00" 14/(x2 + 2x + 2)dx

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: -bm -am 응) Co3 mX ans :

A: By Bartleby policy I have to solve only first one as these are unrelated &amp; very lengthy problems...

Q: Determine the mass of the solid in the first octant bounded by the plane 2x + y + z = 6 and has the ...

A: Calculating the mass of a solid object is one of the important applications of the triple integral. ...

Q: 6. Evaluate the fallowing real integrals by residue theerem 3 I = J - Sín O do; a>l ans: 27(a- Ja?i)...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: stipu general solut herwise. Write the complete and detailed solution except wher 5. Find the partic...

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Q: Decide whether the following is a proposition or not. If it is, write P; if it’s not, write NP. 6.)...

A: We have to decide whether the following is a proposition or not. If it is, write P; if it’s not, wri...

Q: 11. Determine the solution of the initial-value problem Uu = c²ure, u (x, 0) = f (x), ut (x, 0) = g ...

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Q: a) f(z) = 14/(z< + 2z + 2) is a complex function, find %3D (1/Tt) S-00° 14/(x? + 2x + 2)dx b) f(z) =...

A: Given that (a) 1π∫-∞∞14x2+2x+2dx (b) ∫0∞x2+28x4+1dx

Q: The real roots of e 3x + bx 3 - cx 0 if b = 1 and c = 27 can be determined using Fixed Point iterati...

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Q: If f(0) = 0 and f"(x) exists for all x>0, then show that f'(x) – f(x) 1 xf"(5), 0 < § < x. %3D Also ...

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Q: Find the general solution of the differential equation except when the item stipulates otherwise. Wr...

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Q: 7 (4) - [9(& · Ã) –÷(¥9)]

A: In vector calculus, gradient and divergence are very significant. The operator ∇→ is used to express...

Q: Find the general solution of the differential equation except when the item stipulates otherwise. Wr...

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Q: Obtain the general solution and the particular solution (if applicable) of the following nonhomogene...

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Q: How- Solne the following PDE's : O 4(1+u²) = 9u" P7 %3D

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Q: – kz = 0, -z= 0, solution then

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Q: given an example for a ring R has ideal I such that : VI #I Ic VI

A: Ring:- A non empty set say R is called Ring with respect to two binary operation say "+, *" if 1. (R...

Q: 2 Find Rez-22] f Im (Z-27) i f Z=a+bi

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Q: ormulate 2 examples of compound statements under conjunction

A: let p : John likes ice- cream q: Mary likes Gulab jamun The two statements are as above,  The compou...

Q: Q: Use Lagrange's Formula to Prove that : 1) Y, = Y3 – 0.3 * [ Ys – Y-3] + 0.2 * [Y_3 - Y-5]. |

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a ti...

Q: date the tolloWing real ThFegrais og theerem 3 2t sine ans 2T (a- Ja?) a+ CesO

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Q: Let f(z) be an entire function such that |f(z)| < 1 on the unit circle and f(a) = 0 for z - a some a...

A: Here given f(z)≤1 and we have to prove f(z)≤z-α1-α¯z Where z lies on unit circle and f(α)=0 for some...

Q: 4 (V3 +i) (-2+ /3i) (-1+J5i) Solve by using De Moivre's theorem and write the result in form of x+ y...

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Q: A conic is given by r = 2 - cos 0 Find the eccentricity and identify the conic. Find the equation of...

A: We have to solve given problem:

Q: Formulate 2 examples of compound statements under each given type

A: A compound statement is a statement that has parts that are themselves statements. Formulate 2 examp...

Q: Find a, beR such that the polynomial f(x) = 6x4 – 7x3 + ax? + 3x + 2 is divisible by g(x) = x2 – x +...

A: When a polynomial is divisible by another polynomial, there is a quotient polynomial. The leading po...

Q: Find the general solution of the differential equation except when the item stipulates otherwise. Wr...

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Q: 3. Find the Fourier series of, f(x) = }0 (1 -π<x < - /2 - 1/2 <x <n/2 T1/2 <x <n

A: Recall this 

Q: 4. If A is 4x4 normally distributed random matrix and I is 4x4 identity matrix. Proof that: a) A'A =...

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Q: operties and find its Cartesian equation. 1 ) Vertices (+4, 0) and eccentricity

A: In this question, the concept of Conic Section is applied. Conic Section A conic section (or just co...

Q: Use the predicted-corrector method to approximate the solutions for the initial-value problems y’ = ...

A: Use the predicted-corrector method to approximate the solutions for the initial-value problems: y'=x...