By considering different paths of approach, show that the function has no limit as left parenthesis x comma y right parenthesis right arrow left parenthesis 0 comma 0 right parenthesis(x, y)→(0,0). f(x, y)equals=negative startfraction x over startroot x squared plus y squared endroot endfraction− x x2+y2 an x y z coordinate system has an unlabeled x-axis, an unlabeled y-axis, and an unlabeled z-axis. following the x-axis, a surface rises on the z-axis and then falls below the z-axis. find the limit as left parenthesis x comma y right parenthesis right arrow left parenthesis 0 comma 0 right parenthesis(x, y)→(0,0) along the path yequals=x for x greater than 0x> 0. nothing (type an exact answer, using radicals as needed.)

Which matrix multiplication is possible?

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

What is the slope of the line shown below?