Answer:

Step-by-step explanation:
As per the question,
let us consider f(x) = tan(x).
We know that <u>The Maclaurin series is given by:</u>

So, differentiate the given function 3 times in order to find f'(x), f''(x) and f'''(x).
Therefore,
f'(x) = sec²x
f''(x) = 2 × sec(x) × sec(x)tan(x)
= 2 × sec²(x) × tan(x)
f'''(x) = 2 × 2 sec²(x) tan(x) tan(x) + 2 sec²(x) × sec²(x)
= 4sec²(x) tan²(x) + 2sec⁴(x)
= 6 sec⁴x - 4 sec² x
We then substitute x with 0, and find the values
f(0) = tan 0 = 0
f'(0) = sec²0 = 1
f''(0) = 2 × sec²(0) × tan(0) = 0
f'''(0) = 6 sec⁴0- 4 sec² 0 = 2
By putting all the values in the Maclaurin series, we get



Therefore, the expansion of tan x at x = 0 is
.
At around 20'000ft. and higher.
It's asking you to work out how many minutes it will take to drive to a school if you're driving at a speed of 35 miles per hour (mph).
But there's a problem with the question because it doesn't tell you how far away the school is.
But this is how you are supposed to do it:
Distance ÷ 35 = answer (in hours)
Answer (in hours) × 60 = Final answer (in minutes).
It's like this because time = distance ÷ speed, and the question asks for the answer in minutes, but the unit is in miles per hour, so you multiply by 60 to get the answer in minutes.
Hope I helped :)
936 is the answer :)))))))))))