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Please answer clearly and in detail 9. Points=2 Show that x log x is O(x²) but...
a ruler to draw graphs. 0 Answer ALL questions • Write clearly and use lines and ③ Show all steps in your answer. 1. investment triples every one year, what will be my total money after (show all your steps). a. If initial investment is 1 SAR. If my 10 years If my b. If my initial investment is 20 SAR. 2. Calcute the following and find x a. logio (x) = 3 b. log₂ (x) = 5 log2 (x)...
4. a) Solve the equation log2 (x - 5) - log: ( x - 2) +1 algebraically. b) Verify your answers are reasonable by graphing both y = log2 (x - 5) and y = log: (x-2) +| on the same set of axes.
ONLY THE LAST ONE (4) . DISCRETE MATH
Problem 1: Show that f(n) = (n + 2) log2(n+ 1) + log2 (n3 + 1) is O(n log2 n). Problem 2: Prove that x? + 7x + 2 is 12(x°). Problem 3: Prove that 5x4 + 2x} – 1 is ©(x4). Problem 4: Find all pairs of functions in the following list that are of the same order: n2 + logn, 21 + 31, 100n3 +n2, n2 + 21, n? +...
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2. [20 Points) Let X denotes the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is f(x) = {. kx®(1-x) 0 <x51 otherwise a. b. Find the constant k. (Hint: integrate within the bound and set =1, then solve for k) Construct the cdf of X. Calculate the expected value of X
8. Graph the function below and identify its key features. (2 points) g) = log (x + 10) - 1 a) Find g'(x) algebraically and show all work. (4 points) b) Graph g (x) on the same axes above. (2 points)
8. Graph the function below and identify its key features. (2 points) g) = log (x + 10) - 1 a) Find g'(x) algebraically and show all work. (4 points) b) Graph g (x) on the same axes above....
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Solve for x in the following logarithic equation 2 logax+log, 9=4
Please write out and show steps
Problem 9. Find z a) logs b) log, log, 4- log, 8+2 log, 2 c) log, d) log, (r+2)+log, x = log, 24 log,8log, 9-log, 6 T = 3 log, 2+log, 25-log, 20 HEWLETT PAC 144 9% 7 T G H
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Question 14 [10 points) A 20.0 g sample of KH2PO4 (s) (A)(MW = 136.09 g A) will react with what volume (in mL) of 0.500 M KOH (B)? Use A and B to show compounds in the working. Given: KH2PO4(s) + 2 KOH (aq) ----> K3PO4 (aq) + 2 H20 (1) 20.0 g A x 2.___...
Discrete mathematics question
Can you please answe the following
question?
Please show your answer clearly.
et n be a positive integer. Use the Master Theorem to obtain the big-O class for the functions that satisfy the following recurrences. (a) (4 points) g(n) -4g(n/2)+ n b) (4 points) (n) 2f (n/3) 0(n)
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the step to derive the answer. Please show all work clearly and
circle final answer.
.ill T-Mobile 令 18:35 Exit Question 4 1 pts A charge of +5 micro-coulombs is placed at x-0 cm, y-+14 cm, a charge of-4 micro-coulombs is placed at x O cm, y 24 cm, a charge of +7 micro-coulombs is placed at x7 cm, y 0 cm, and an unknown charge is placed at at x+24 cm,...