question 17 Determine which of the following relation(s) represent a function: I.y = 5 II. x²...
Problem #9: Which of the following functions is continuous at (0,0)? () S(x, y) = x + 3yt if (x,y) # (0,0) if (x, y) = (0,0) x2 394 (ii) g(x, y) to + if (x, y) + (0,0) if (x, y) = (0,0) (iii) h(x, y) V22 + y2 + 1 - 1 x² + y² if (x, y) + (0,0) if (x,y) = (0,0) (A) none of them (B) (iii) only (C) (ii) only (D) all of them...
Question 7 7 pts Which ODE(s) represent a spring-mass system which mathematically predicts the mass will go up an down infinitely many times to the same height and depth each time? 1 x" + 10x = 0 II) x." + 2x + x = 0 III) x" + 2x' + 5x = 0 o I only O ll only Ill only O I and III only o I and II only
Q1. Consider the curve y2 = x3 + 3x + 5 mod 17. (i) (ii) (iii) (iv) (v) (vi) Confirm that it is an elliptic curve. Determine three points on the curve over real numbers Determine three points on the curve over integer numbers For one of the points P in (iii), find 2P (or double) For two of the points P and Q in (iii), find P+Q Find the bound for the number of points on this curve using...
Question 35 (1 point) Which of the following are advantages of the corporate form of business ownership? 1. limited liability II. double taxation III. ability to raise capital IV. unlimited firm life OI and II only O III and IV only O I, II, and III only OI, III, and IV only
number 4 Ex. 3.1. Determine, when possible, the function f(x) to which the following sequences converge in a pointwise way: sin(na) (ii) (i) n 2n (iii) 1 2n (iv) n (v) n! (vi) x
Consider the function below. y z= 2+x+ (a) Match the function with its graph (labeled A-F). (b) Match the function with its contour map (labeled 1-VI). O V VI Give reasons for your choices. Select- Also, the values of z approach 0 as we use This function is not periodic, ruling out the graphs in (b) Match the function with its contour map (labeled I-VI) II III IV V VI Give reasons for your choices. This function is not periodic,...
Which of the following molecules/ions is/are likely to be planar? I. PCl3 II. BF4- III. XeF4 IV. BrF3 V. BrF5 VI. H3O+ A) I and IV B) II and III C) II and VI only D) III and IV E) IV and V
Question 10 Predict the major product(s) for the following reaction. HBr Br Hits OI O II O III o IV O I, III and IV
Question 9 Which of the following compounds has the longest Imax? COTO III IV V OI N O II O III IV
For each relation below, determine the following.(i) Is it a function? If not, explain why not and stop. Otherwise, answer part (ii).(ii) What are its domain and image? (a){(x, y) :x, y∈Z, y- 2x}. (b){(x, y) :x, y∈Z, xy- 0}. (c){(x, y) :x, y∈Z, y-x2}. (d){(x, y) :x, y∈Z, x|y}. (e){(x, y) :x, y∈Z, x+y= 0}. (f){(x, y) :x, y∈R, x2+y2= 1}.