Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = x4 − 2x2 + 1, a = 2 ∞ f n(2) n! (x − 2)n n = 0 = 24 + 9(x − 2) + 22(x − 2)2 + 8(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = −9 + 24(x − 2) + 22(x − 2)2 + 8(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = 24 + 9(x − 2) + 8(x − 2)2 + 22(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = 9 + 24(x − 2) + 22(x − 2)2 + 8(x − 2)3 + (x − 2)4 ∞ f n(2) n! (x − 2)n n = 0 = 9 + 24(x − 2) + 8(x − 2)2 + 22(x − 2)3 + (x − 2)4

Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

Zack notices that segment nm and segment pq are congruent in the image below: which step could him determine if δnmo ≅δpqr by sas? (5 points) segment mo ≅ segment qr segment on ≅ segment qp ∠ n ≅ ∠ r ∠ o ≅ ∠ q