Answer:
Step-by-step explanation:
1 yes
2 yes
3 yes
4 yes
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:
She earned $184 in interest
$644 In all
Here's why:
The formula is Interest = Principal x Rate x Time
I = 460 x 8% x 5 or I = 460 x 0.08 x 5. PEMDAS
460(0.08) = 36.8
I = 36.8 x 5
36.8 x 5 = 184
I = $184
To find them in all, add the original amount she deposited with the interest.
460 + 184 = 644
In all: $644
Answer:
1
Step-by-step explanation:
9 - 3/(1/3) + 1 = 1
Answer:
Step-by-step explanation:
<u><em>Not congruent</em></u>
Better to say that there is not enough information to say, "Triangles are congruent"