Which of the following is the nth taylor polynomial tn(x) for f(x)=ln(1−x) based at b=0? tn(x) = −x + 1 2 x2 − 1 3 x3−+ 1 n xn tn(x) = −x − x2 − 1 2 x3−− 1 n−1 xn tn(x) = −x − 1 2 x2 − 1 3 x3−− 1 n xn tn(x) = −x − 1 2! x2 − 1 3! x3−− 1 n! xn find the smallest value of n such that taylor's inequality guarantees that |tn(x)−ln(1−x)|< 0.01 for all x in the interval i= − 1 2 , 1 2

The number of times a player has golfed in one’s lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is –0.26.

Which best describes the strength of the correlation, and what is true about the causation between the variables?

It is a weak negative correlation, and it is not likely causal.

It is a weak negative correlation, and it is likely causal.

It is a strong negative correlation, and it is not likely causal.

It is a strong negative correlation, and it is likely causal.

Step-by-step explanation: