Step-by-step explanation:
K is an upper bound for│f"(x)│on the interval [0, 1], so x ≤ 1.
Sine and cosine have maximums of 1, so an upper bound of │f"(x)│is:
│f"(x)│≤ (76 · 1 + 152 · 1 · 1)
│f"(x)│≤ 228
-1/2(-5/6+-1/3)
-1/2(-1/2)
1/4
So if the earth goes 18 miles per second you would multiply 18 and 60 since 60 seconds are in a minute. And that is 1,080 miles in a minute then times that by 5 and your answer is 5,400 miles in 5 minutes.
