quintic means degree of 5.
a negative quintic would be: f(x) = -x⁵ <u>+ </u>
an example with one real zero could be: -x⁵ + x³ + x + 3 (see attachment)
Answer:
1/4. or 0.25 :))
Step-by-step explanation:
4 as a fraction is 4/1, so the reciprocal is 1/4 :)
Using Taylor expansion, show that
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ),
for some ξ lying in between x0 and x0 + h.
Solution: We expand the function f in a first order Taylor polynomial around x0:
f(x) = f(x0)+(x − x0)f0
(x0)+(x − x0)
2 f00(ξ)
2 ,
where ξ is between x and x0. Let x = x0 + h:
f(x0 + h) = f(x0) + hf0
(x0) + h2
2 f00(ξ).
Solving for f0
(x0), we obtain:
f0
(x0) = f(x0 + h) − f(x0)
h − h
2
f00(ξ)
Answer:
Step-by-step explanation:
Given
Required
The solution
We have:
Split
Divide both sides by 
Multiply both sides by dt
Integrate
Rewrite as:
Integrate the left hand side
Integrate the right hand side
---- (1)
To solve for c, we first make c the subject
means
So:
So, we have:
Divide through by 2
Square both sides
Answer:
The equation equals <em>0</em>
Step-by-step explanation:
<u>12 ( 1/3 )</u> + 5 - 9
<u>4 + 5</u> - 9
<u>9 - 9</u>
= 0
