Let C denote the unit circle with positive orientation. 100 dz. 3 Evaluate 706e cos 3z Evaluate arctan z Compute the Laurent series of f(2) = in power of z, and use it to find / f(2)dz.

Q: 3x+2 2+9x+1 dx

A:

Q: (y squared minus 2y over 7 plus 1 over 49)

A:

Q: dx x2 - 2x + 82 ||

A: Formula used     ∫  1/(u^2+1) du = tan^-1(u) + c

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: ³ +5 dx r4 – x3 + x²

A:

Q: 4x + 3 5+4x - x² dx

A:

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: (2+3i)2=

A:

Q: x5 + 1 dx x4 + 2x3

A:

Q: 2.x²y"+xy'–3y= 0,x>0

A:

Q: Let f ={ (-6,4),(-5,3),(4,-6),(3,-5),(1,5),(2,6),(-3,5),(-8,2),(6,4)}  g=…

A: It is known that f-gx=f(x)-g(x) and f·gx=f(x)·g(x). The sets are provided as:…

Q: J 3x - 2 4x² + 4x + 17 dr

A: Breaking the numerator is the key here. After that, break the given function into two parts and then…

Q: 4x² + 5 -dx 3

A: Given, integral is

Q: 2x2 - x + 4 dx. x3 +4x Evaluate

A: ∫2x2-x+4x3+4x  dx

Q: Vse Che quadatic farmuta to solve the quaidratic egaution?

A:

Q: x³ +2x .3 dx x2+1

A:

Q: 4x2 -6 dx. x - 4x2 Evaluate

A: Consider the given integration as ∫4x2-6x3-4x2dx

Q: 4x + 1 - dx 4x2 + 2x + 3

A:

Q: 3x +3x-5x² +x-1 dx x² +x -2 Q4 Evaluate

A:

Q: 8x³ + 3x - 1 4x² + 1 dx

A:

Q: J 2+2 cot (2²+42 - 3) -dz

A:

Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: x4 + 12x² + 1 dx x5 + 20x³ + 5x

A: Integration is given,

Q: 2vx2 2 dx

A:

Q: 3x² + 2x t 3 dx と 20

A:

Q: f 4x² csch² x³ dx

A:

Q: Square root of j is equal to

A:

Q: Proof that: 12-a) =r → そ= a+re

A: The solution is:

Q: • 21 real imaginary 2)

A:

Q: b) L,(3x² – 2x + 1) dx

A: on solving this we get the value

Q: which of the following is the boundary of D? A.ƏD = 0 c. aD = 26 C 1 2 - 1 +i | = 23. B. ƏD=C D. OD…

A: For any complex number: z=x+iy, it can be written that: z=x2+y2.

Q: 3x2 + 5 dx. x2 – 3x +2 Evaluate

A: Integrate∫3x2+5x2−3x+2dx

Q: 2x e² dx 9 + e4x

A:

Q: 2x + 7 dx x² + 4x + 13

A: Given, ∫2x+7x2+4x+13dx  We have to find the integration.

Q: Determine the area of the triangle with vertices (-2, -2, 4), (3, −4, 2), and (-7, 1, 3). Use the…

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.