Recall the Maclaurin expansion for cos(x), valid for all real x :
Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives
The first 3 terms of the series are
and the general n-th term is as shown in the series.
In case you did mean cos(√(5x)), we would instead end up with
which amounts to replacing the x with √x in the expansion of cos(√5 x) :
Answer:
Step-by-step explanation:
we know that
The formula to find the sum is equal to
where
a1 is the first term
an is the last term
n is the number of terms
In this problem we have
substitute the values in the formula
U need to find the square root by long division.
So the answer would be 2.2
Answer:
Step-by-step explanation:
Hi there!
Because we're given the vertex of the parabola, we can determine its equation in vertex form:
where the vertex is
Plug in the vertex (0,0)
Now, we must solve for a. Plug in the given point (-2,3) and solve for a:
Therefore, the value of a is . Plug this back into :
I hope this helps!