Advanced Math please make sure the answer is easy to read: (c) Explain the identity, Pa(k) Pale(k)- Pa/e(k) and explain how this is used to calculate the chromatic polynomial of an arbitrary graph G. Illustrate your answer by finding the chromatic polynomial of the graph below: =

Q: 2/18 – 12/32 + 3V50

A: The solution is given below in the next step:

Q: -5 dx Evaluate 2x 10 A B c) 1 (D) 2

A: formula:

Q: 30 Evaluate (1 + i)

A:

Q: Find L{1}ℒ{1}.

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: Simplify.2 Express 0(3n° – 2n² + n) n) as:

A: Given that O(3n^3 - 2n^2 + n)

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 6 2/5 + 1 3/10

A:

Q: 1 1 dx 3 5 x +x4

A:

Q: 3. 8-18 2エ-3 %3D

A: Given, 814-x = 92x-3  We will find the value of x

Q: 9 – 4x > –3

A: The given inequality is 9-4x>-3

Q: Write the binomial expansion for (x + 2)°. (x+ 2)° =D

A:

Q: 3 dx 9

A: The given integral is: I=∫x3x2-9dx

Q: 50/21 simplest form

A: Compute the simplest form of 50/21.That is, divide 50 by 21.

Q: Find the 7th and 11th term of the expansion (y − x)^14

A:

Q: 1 3] [1 3 3 0 -1 2. 30 2

A:

Q: Could you explain how to do the computation in step 2?

A: We know, the matrix addition and matrix multiplication is given by         |–  x  –|          |–  z…

Q: 1/4 +5/4

A: Solution: The objective is to find the value of the given expression

Q: Find a if the 17th and 18th terms of the expansion (2 + a)5⁰ are equal.

A:

Q: find the slopet y-intercept the line 2.

A: Given equation of line is  2x+3y=24

Q: Write the first, third and fifth terms of the expansion of (3x – 5y)5.

A: Write the first ,third and fifth term of the expansion of (3x-5y)5.

Q: ext dx 8X-X

A: We have to evaluate the ∫dx8x-x2

Q: 36 70

A:

Q: In the expansion of (x + 4/x)12, find the term without x. a. 63 360 C. 506 880 b. 126 720 d. 3 784…

A:

Q: Let G be the solid in the first octant bounded by the sphere 2x? + 2y? + 2z? and the coordinate…

A:

Q: 17 8 15 Find show work please 2.

A:

Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

A:

Q: Write the binomial expansion of (2x – 1) as a polynomial in simplest form.

A:

Q: 1/20+1/10+1/4

A:

Q: efind the intergrationa

A:

Q: 3 S x²_9

A:

Q: Secă KosX

A:

Q: dt t²Vt² – 16

A: