Answer:
The Taylor series of f(x) around the point a, can be written as:
Here we have:
f(x) = 4*cos(x)
a = 7*pi
then, let's calculate each part:
f(a) = 4*cos(7*pi) = -4
df/dx = -4*sin(x)
(df/dx)(a) = -4*sin(7*pi) = 0
(d^2f)/(dx^2) = -4*cos(x)
(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4
Here we already can see two things:
the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.
so we only will work with the even powers of the series:
f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....
So we can write it as:
f(x) = ∑fₙ
Such that the n-th term can written as:
Answer:
{x|x rx>-2}
Step-by-step explanation:
hope helpful answer
The first letter can be any one of 5. For each of those . . .
The second letter can be any one of the remaining 4. For each of those . . .
The third letter can be any one of the remaining 3. For each of those . . .
The fourth letter can be any one of the remaining 2. For either of those . . .
The fifth letter is the last remaining one.
Total number of possibilities = (5 x 4 x 3 x 2 x 1) =
<em> 120 ways</em> to line them up.
Now, may I say that being a hater of school is not something that
makes you cool. Maybe it does make you one of the crowd, but life
is not a war between you and school. School is simply something that
a lot of grown-ups spend a lot of money on, and a lot of teachers spend
their whole life on, to make sure that a lot of kids won't go through <em><u>their</u></em>
whole life stupid. You can learn everything you ever want to know there,
and it's all free. That's a pretty good deal.
Answer:
41.13 sq m
Step-by-step explanation:
area of square = 4² = 16
there are two quarter-circles which equals one semicircle
area of semi-circle is πr²/2
A = 4²π/2 = 8π = 25.13
add together: 16 + 25.13 = 41.13
Answer:
.24
Step-by-step explanation:
