
Solve Problems ( I Thru 4, 10 Points Each) 1.) P-51.506 25 i-5% Find: F 2)...
Trigonometry Written Homework 10: 7.1-7.2 Textbook Problems (20 points): p. 349 #3, 5, 9-10 Graded Problems (80 points): 1. Solve the triangle ABC (find angles and sides) for each triangle that exists. A = 100.2°, B = 25.0°, a = 165 m 2. Solve the triangle ABC (find angles and sides) for each triangle that exists. B = 40°, a = 30 m, and b = 24 m
Solve the following problems. Show your work clearly. Q1. (10+10+5=25 points) a) Find the gradient of the function f(x, y) = 3x2 – 2xy + 2y and calculate it at (-1,1). b) Calculate the directional derivative of f(x,y) = 3x2 - 2xy + 2y at the point (-1,1) in the direction of the vector v =< -2,2> c) After solving part (a), if the vector in part (b) was given as v =< 1,0 > could you find the derivative...
Problems #3 thru #5 refer to the following b-tree. Note that problems #4 and #5 are continuations of their previous problems. Original for 60 #3-5: 20,40 70 90 62 65 75 80 92 95 97 5 10 15 25 30 45 50 55 #3 Show the b-tree resulting by deleting 90. #4 Continuing from #3, show the b-tree resulting by deleting 25. Only attempt to borrow from an adjacent sibling. If possible, use the sibling that is immediately to its...
A) μ 0.90 B).-I C) H 1.10 D)μ-1.15 Use Binomial Distribution to solve problems 4-5 4. In a study of brand recognition, 70% of consumers recognized Coke. Find the probability that among 5 randomly selected consumers, exactly 3 will recognize Coke. (Use binomial distribution with parameters n 5 and p 0.70). Show the result of calculations and circle one of the multiple choice answers. (6 points) A) 0.6174 B) 0.2161 C) 0.3087 D) 1.0290 5. Ifa person makes 4 shots...
Subject: Algorithm
solve only part 4 and 5 please.
need urgent.
1 Part I Mathematical Tools and Definitions- 20 points, 4 points each 1. Compare f(n) 4n log n + n and g(n)-n-n. Is f E Ω(g),fe 0(g), or f E (9)? Prove your answer. 2. Draw the first 3 levels of a recursion tree for the recurrence T(n) 4T(+ n. How many levels does it have? Find a summation for the running time. (Extra Credit: Solve it) 3. Use...
Problem ll C10 points) choose any 2 problems In Problems 21-32, find the derivative of each function at the given number. 21. f(x) = -4x + 5 at 3 22. f(x) = -4 + 3x at 1 24. f(x) = 2x² +1 at -1 25. f(x) = 2x² + 3x at 1 23. f(x) = x2 - 3 at 0 26. f(x) = 3r? - 4x at 2
3. (25 Points) Find f(t). f(0) + f(t - 1)f(t)dt = t. Hint: The second term on the left side is a convolution and it might be helpful to use the Laplace Transform. 1 4. (10 Points) Solve the initial value problem by Laplace transform techniques. x" + 5x' + 4x = 0;x(0) = 1,x'(0) = 0. I 5. (15 Points) Find a series solution for the following differential equation. Calculate the radius of convergence. 2(x - 1)y' = 3y...
(d) Decrypt the ciphertext message LEWLYPLUJL PZ H NYLHA ALHJOLY that was encrypted with the shift cipher f(p) (p+7) mod 26. [10 points] (e) [Extra Credit - 5 points] Encrypt the message "BA" using the RSA cryptosystem with key (ne) = (35,5), where n = p . q 5-7 and ged(e, (p-1) 1)) (5, 24) 1. 6. [5 points each (a) Is 2 a primitive root of 11? (b) Find the discrete logarithm of 3 modulo 11 to the base...
2. (25 points) Solve each of the following triangles, then find the area. 'Solve' means determine the value of any unknown angles and/or sides. As is typical in polygons, angles are in degrees. Round values to one decimal. A generic triangle showing the relationship of angles and sides is below. If a triangle has no solution, put in 'N/A' for sides/angles/area. If the triangle has two solutions, put in both solutions in a way that is clear. YTypeArea 10° SAS...
To Find P Given F P/F N - 1 2 3 4 5 6 7 8 9 To Find F Given P F/P 1.1900 1.4161 1.6852 2.0053 2.3864 2.8398 3.3793 4.0214 4.7854 5.6947 6.7767 8.0642 9.5964 11.4198 13.5895 16.1715 19.2441 22.9005 27.2516 32.4294 To Find F. Given A FIA 1.0000 2.1900 3.6061 5.2913 7.2966 9.6830 12.5227 15.9020 19.9234 24.7089 30.4035 37. 1802 45.2445 54.8409 66.2607 79.8502 96.0218 115.2659 138.1664 165.4180 0.8403 0.7062 0.5934 0.4987 0.4190 0.3521 0.2959 0.2487 0.2090 0.1756...