Answer:
Step-by-step explanation:
A quarter circle is one fourth of a circle. To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.
Answer: C (0,2)
Step-by-step explanation: Y intercept is when the x value is equal to 0. Find the value in the table where the x value is 0 and then look at the h(x) value or the y value to find the answer. In this case the point where x=0 h(x) = 2.
I suppose you mean

Recall that

which converges everywhere. Then by substitution,

which also converges everywhere (and we can confirm this via the ratio test, for instance).
a. Differentiating the Taylor series gives

(starting at
because the summand is 0 when
)
b. Naturally, the differentiated series represents

To see this, recalling the series for
, we know

Multiplying by
gives

and from here,


c. This series also converges everywhere. By the ratio test, the series converges if

The limit is 0, so any choice of
satisfies the convergence condition.
Comment
There are 12 months in a year. He plans on visiting 8 times each month.
Step One
Find the number of visits per year.
<em>Givens</em>
Number of visits per month = 8
Number of months per year = 12
Visits = # visits / month * number of months
Visitis = 8 * 12
Visits = 96 visits in total.
Step Two
<em>Calculate the cost / visit</em>
Total Cost = 414 visits.
Total Visits = 96
Cost / Visit = Total Cost / Total visits.
Cost / Visit = 414 / 96
Cost / Visit = 4.31 roughly.