Given u=y3 – 3x²y is harmonic, find harmonic conjugate v - 3.xy² +x³ +c - 3.xy? +x? +c - 3xy? –x3 +c - 3x?y² +x³ +c

Q: (6+3i)(6-3i)

A: topic - multiplication of complex numbers

Q: olx 3(2-3x)"

A: The objective is to solve the integral ∫132-3x4dx

Q: Multiply 3i(2-3i)

A:

Q: Jg+X -J9-X

A: We are given 0/0 form so we find limit by rationalize the given function

Q: Z = i+1 then find fourth root

A: Here the equation is given by Z=i+1. The fourth root of the equation has to be determined.

Q: dr VIr - 1|

A:

Q: (2+3i)2=

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Q: x³ Jx² +3dx

A:

Q: arctan(-1)

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Q: Find 2. 2 i

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Q: curl(curl F)= grad(div F) - 2F

A:

Q: circle. (2) PQ. A B 48

A: In the given circle we have to find the length of the chord PQ.AO = PO will be the radius.AB is the…

Q: + 4 Y

A: Graph the line equation

Q: How is the y value determined, like y1,y2,y3, and y4? (the second column of the table)

A: As per the question we have to explain how the y-values i.e. y1 , y2 , y3 and y4 are determined.

Q: 1-0 1-V

A: The given function for integration is,

Q: Evaluate 4x2 + 4x + 5 dx

A:

Q: third desivative the Find al Sin(27)-37'5

A: Given that, fr, s=sin2r-3r4s2 (a)  Find the first partial derivative with respect to r.…

Q: i/-1+3i

A: Given  that ,  let  z = 8i-1+3i  We have to change it in the Standard form of  complex number a + i…

Q: (5,19),(8,18),(10,14),(12,7) find the value of r and round to four decimals

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Q: Represent by dvawing (Argand) the Complex numbers

A: So for better understanding I'm providing hand written solution.

Q: Complex bet गोगकीपसी 2.

A: We have to shown that tan^(-1)z =(i/2)log((1+z)/(1-z))

Q: bijection.

A:

Q: perpendicular

A: We will solve the problem.

Q: L'im 2x - 3

A:

Q: What is the value of X? _  and  Y? _

A: Given, 6x-3y=9 -8x+5y=-11

Q: (2i-9)2

A: We need to simplify (2i – 9)2 and express in the form of (a + ib). We can rewrite  (2i – 9)2 as (2i…

Q: A(1,2), В(—1, —-1)

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Q: 6yz+2yz+8yz=

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Q: Question: diagonalize, -1 0-1 0 0 -1 2 1 2

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Q: dæ 9 - x2

A: Given data:   The given expression for the integration is:. Assume x=3 sint, differentiate it both…

Q: dx Va + V -3

A: Explanation of the solution is given below...

Q: what is the symmetric difference ? And give examples

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.