Solve the problem. 7) Is the point (-5, -3) on the circle defined by (x +...
8) Is the point (-5, 3) on the circle defined by (x - 2)2 + (y + 1)2 = 64? Justify your answer! A) No B) Yes
Solve for X
(1 point) Solve for X. 0 3 -7 3 -5 3 -61 3 -4 X + 9 -6
Solve for x x 3 7 4 - 2 0 9 = 5 X -1 7 - 7 x +7 Click here to enter or edit your answer 2. 65 x Click here to enter or edit your answer - 17.65
Problem 5 (7 point) Suppose that f'(x) is continuous and that F(x) is an antiderivative of f(x). You are given the following table of values: r=0 2 = 2 * = 4 x = 6 -2 6 f(x) 6 F(x) 7 2 -4 -3 2 -4 5 3 (a) Evaluate | ((z) – 3)s -3)?f'(x)dx. (b) Evaluate (* 25 r* f" ()dx
Problem 3. (15 points) T3 finite element is defined over AABC (in physical coordinates). The vertices of this triangle have the following coordinates: A(-3, -5), B(2,-1), and C(-6, 4) f(x, y)dS ДАВС where f(x, y) 3 2х?-5у? + 3ху+x — у. Bonus problem (5 extra points) a) Solve Problem 3 using 3 point integration rule. b) Which rule (1 point or 3 point) gives more accurate result? c) What is the integration error, if 3 point rule is used?
Problem...
(a) Solve the simultaneous congruences p = 1 (mod x – 3), p = 7 (mod x – 5). (b) Find the total number of monic irreducible polynomials of degree 5 in Fr[c]. (c) Find a primitive root modulo 52020. (Make sure to justify your answer.) (d) Determine the total number of primitive roots modulo 52020.
Problem 13 (9 point) Circle your answer for the following statement (True or False). If it is true, explain why. If it is false, explain why or give an example that disproves the statement. To get a mark, you need to give an explanatio. (a) If f(t) is continuous on (a,b], then f(x) + f(t) -dx < 2 Answer: True False 1 sca) de (b) [sec(z) tan(x) dx = sec(x)ys = sec(7) – sec(7/3) = -1- 2 = -3 Answer:...
Graph off The function is defined on the interval -5 S figure above S where c and . The graph of which consists of three line segments and a quarter of a circle with center (3.0) and radius 2. is shown in the Forssxsc, leto be the function defined by g(x)= f(t)dt. Find the coordinate of each point of infection of the graph of Justify your answer
KKT is karush kuhn tucker
Question 5 [15 marks] (Chapters 5, 6, 7 and 11) Consider the optimization problem min (r1,23)ER3 1 + 222 2a3 = 2, s.t. i) [2 marks] Is this problem convex? Justify your answer. ii) [3 marks] Can we say that this problem has an optimal solution? Justify your answer iii) [4 marks] Are the KKT optimality conditions necessary for this problem? In other words, given a KKT point of this problem, must it be an...
11 points Problem 3. (3+3+5 pts) Consider the sequence: n sinn n3+1 an a. Is the sequence an convergent? If yes, find its limit. b. Is the sequence an bounded? Justify your answer. c. Is the series Ş an convergent? Justify your answer. n=1 TTT Arial 3 - T. 3.E. GEWindows Totod Lenovo F 7