Answer:
As consequence of the Taylor theorem with integral remainder we have that

If we ask that
has continuous
th derivative we can apply the mean value theorem for integrals. Then, there exists
between
and
such that

Hence,

Thus,

and the Taylor theorem with Lagrange remainder is
.
Step-by-step explanation:
Answer:
You can get a negative 5 if you subtract -7 minus -2.
Step-by-step explanation:
Answer:
This is false
Step-by-step explanation:
Answer:

Step-by-step explanation:
First, the formula for the volume of a sphere is:




![r = \sqrt[\leftroot{-2}\uproot{2}3]{\frac{3}{4\pi}V}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B%5Cleftroot%7B-2%7D%5Cuproot%7B2%7D3%5D%7B%5Cfrac%7B3%7D%7B4%5Cpi%7DV%7D)
<u><em>If there is any steps you are unsure of, feel free to ask in the comments.</em></u>
Answer:
x = 19
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x-7+4) * 4 = 8^2
(x-3)*4 = 64
Divide each side by 4
x-3 =16
Add 3 to each side
x-3+3 = 16+3
x = 19