Show how the Newton-Cotes formula 13 red 6-10 I s(a) dr. Apply this result to approximate...
[20 Marks] Question 2 a) Given f(x)= x - 7x2 +14x-6 i) Show that there is a root a in interval [0,1] (1 mark) ii) Find the minimum number of iterations needed by the bisection method to approximate the root, a of f(x) = 0 on [0,1] with accuracy of 2 decimal points. (3 marks) iii) Find the root (a) of f(x)= x - 7x² +14x6 on [0,1] using the bisection method with accuracy of 2 decimal points. (6 marks)...
Suppose n activities apply for using a common resource. Activity ai (1 ≤ i ≤ n) has a starting time S[i] and a finish time F[i] such that 0 < S[i] < F[i]. Two activities ai and aj (1 ≤ i, j ≤ n) are compatible if intervals [S[i], F[i]) and [S[j], F[j]) do not overlap. We assume the activities have been sorted such that S [1] ≤ S [2] ≤ …≤ S[n]. (a) Design an O(n2) dynamic programming algorithm...
I need help with this question- what formula should I use and how to apply it? Using the cash flows below, what is the NPV of all the cashflows using an interest rate of 10% ? Now: - $120 After 1 year: + $20 After 2 years: + $90 After 3 years: - $10 After 4 years: + $30 After 5 years: + $30 After 6 years: + $30 After 7 years: + $40
Differential equation Q5 please / Q10 if possible, thank you so much Exercises 1. Show that L{cos kt) = s22 for s> 0. 2. Euler's formula elkcos kt+i sin kt can be used to obtain an additional formula cos kt(ek+e-ik), Show that the result of Exercise 1 can now be obtained with a formal application of the Laplace transform. 3. Obtain the transform for sin kt by an argument similar to the one suggested in Exercise 2 4. Evaluate L(r2...
Make sure everything is explained please, i'll rate for sure Let f(1) = 123, 051<1 1, 1<r <2 a) Consider the even periodic extension, of period T = 4, of f(x). Sketch 3 periods, on the interval -6 <x< 6, of this function. an = 23 cos плх dr + 2 5 nr COS dr 2 b) Which of the integrals below can be used to find the Fourier cosine coefficients of the even periodic extension? (i) ( (ii) ja...
can you help with 6 6. Mercury (I) nitrate should have the formula HgNO3, but spectroscopic and freezing point depression studies indicate (and it is now accepted) that in fact the formula is Hg2(NO3)2 (because the mercury(1) ion is a diatomic ion Hg22). What value for i would you expect for a 1 m solution based on the formula HgNO3? What would be the / value for Hga(NO3)2? HONO: Hg2(NO3)2 7. Using salt as a de-icing substance can result in...
1. (10 points) We want to compare the numbers 3 and -6. Using 4-bit signed 2's complement numbers, show how we can use the process of binary addition to calculate a result that will tell us how these two numbers compare. (Just show the calculation here. The next part will be the interpretation of the result.) Now briefly explain how this result can be interpreted by a hardware circuit to indicate how the two numbers compare. (You don't need to...
*SOLVE QS 13 ONLY 11. (5 pts) We would like to align two DNA sequences: (v)GATTCGT, and (w) GAATTAGTT based on the following scoring scheme as discussed in class: s(i i-1 if v w (matches) ii) s(i, j) = 0 if vis wh (mismatches); ii) d 0 What would be the maximum alignment score? Explain how you get the result. (indels: insertions or deletions). 12. (5 pts) Align the same two sequences in the previous problem with the new scoring...
how do i do this table? how is question 13 done? Part II: More Practice with Punnett Squares #1 Data Table II: Note: When you record a ratio, whether it is genotypic or phenotypic ratio, always record the most dominant characteristic first, followed by the recessive. Scenario Genotype Genotype Ratio of Offspring Ratio of Offspring Phenotype of Parent 1 of Parent Genotype 2 Gg gg 2Gg: 2gg or 1:1 2 gray: 2 black or 1:1 #2 #3 #4 #5 #6...