Find the multiplicative inverse of x^4 + 1 using the extended euclidean algorithm with GF(2^8), modulo = 2

Find information on:

1. epinephrine

2. cholic acid

3. ibuprofen (both enantiomers)

4. naproxen

To get full credit (4 pts) you must: 1. Give molecular formula and structure

2. Identify each carbon’s hybridization

3. Identify one stereocenter and it’s configuration

4. Identify the molecule’s importance and/or application

Data structure

1. Give three distinct binary search trees for the following data:   1 2 3 4 5 6 7. One of these trees must have minimum height and another must-have maximum height.
2. Draw the BSTs that result from each sequence of add operations. (2) a. 10, 20, 30, 40 b. 30, 20, 40, 10 c. 20, 10, 30, 40

Data structure

1. Give three distinct binary search trees for the following data:   1 2 3 4 5 6 7. One of these trees must have minimum height and another must-have maximum height.
2. Draw the BSTs that result from each sequence of add operations. (2) a. 10, 20, 30, 40 b. 30, 20, 40, 10 c. 20, 10, 30, 40

Show how to obtain equation (4) from equations (1), (2), and (3). Please show each step.

(1) Tr=Iα
(2)α=a/r
(3) mg-T-f=ma

(4) I=mr²[(g/a)-1-(f/ma)]

1. Converting pH=2.54 to hydrogen ion concentration, [H⁺].

2. What is the pH of a 7.93×10^-4 molar solution of a strong acid?

3. If the pH of a solution of a strong base is 8.75, what is its hydroxyl ion concentration? What is its hydrogen ion concentration?

4. What is the pH of 37.9 mM solution of HNO₃? What is its pOH?

5. Concert the hydroxyl ion concentration, 9.15 mM to pH

6. A 0.017M solution of HCL is mixed with a 0.017M solution of NaOH. What is the pH of the final mixture?

7. The pOH a drug solution is 6.82; what is the pH of the solution? What is the hydroxyl ion concentration is the solution is a strong base?

I need help with these 7 questions!

The hexademical number system uses base 16 with digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. Hexadecimal is often used in computer systems programming. Write a Python program, in a file called convertHex.py, to request a decimal number from the user and output the hexadecimal value. To compute the hexadecimal value we have to find the hexadecimal digits h_n, h_n-1, h_n-2, ..., h₂, h₁, and h₀, such that

  d = hn x 16n + hn-1 x 16n-1 + hn-2 x 16n-2 + ... + h2 x 162 + h1 x 161 +  h0 x 160

These hexadecimal digits can be found by successively dividing d by 16 until the quotient is 0; the remainders are h₀, h₁, ..., h_n-1, h_n.

For example, if d=589:

• 589/16 is 36 with a remainder of 13 - 13 in hexadecimal is 'D' - this is h₀
• 36/16 is 2 with a remainder of 4 - 4 in hexadecimal is '4' - this is h₁
• 2/16 is 0 with a remainder of 2 - 2 in hexadecimal is '2' - this is h₂

So 589 in decimal is 24D in hexadecimal.

Your program should include the following functions:

• decToHex(dec_value) - returns the hexadecimal equivalent of dec_value (as a string)
• getHexChar(dec_digit) - returns the hexadecimal digit for dec_digit (note that 10 in decimal is 'A' in hex, 11 in decimal is 'B', etc)

Sample output:

Enter decimal value: 589
589 is equal to 24D in hexadecimal

Problem 4 (2+2+2+2 marks). Analyze the following recurrence relations using the Master Theorem, and give a Θbound for each. (a) T(N) = 2T(N/4) + 1. (b) T(N) = 2T(N/4) + √ N. (c) T(N) = 2T(N/4) + N2 . (d) T(N) = 9T(N/3) + N.

Let g(t) = 5t − 3 ln(t 2 ) − 4(t − 2)2 , 0.1 ≤ t ≤ 3.

a. Find the absolute maximum and minimum of g(t).

b. On what intervals is g(t) concave up? Concave down?

Name the complex ion [Cu(NH3)2(H2O)4]2+. The oxidation number of copper is +2.