Since , we can rewrite the integral as
Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:
Both integrals are quite immediate: you only need to use the power rule
to get
Now we only need to evaluate the antiderivatives:
So, the final answer is 15.
Answer:
99 minutes, or an hour and 39 minutes.
Step-by-step explanation:
It takes Emma 18 minutes to do 14 pages. That means that we can set up a proportion, where Emma uses 18 minutes to do 14 pages, which is equal to x minutes per page!
14x = 18
7x = 9
x = 9/7
So, each page takes 9/7 minutes for Emma to finish.
She will do 77 pages. 77 * (9/7) = 11 * 9 = 99.
So, it will take Emma 99 minutes, or an hour and 39 minutes, to type and spell check 77 pages.
Hope this helps!