i read in class 4 but I don't explain the answer
Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.
To determine if a function is even, we need to check if f(-x)=f(x).
Answer:
7
Step-by-step explanation:
1. Subtract the 4x on both sides = -14 = -2x
2. Divide -2 on both sides to get -14/-2 = x
3. -14/-2 = 7 so 7 = x
Answer:
- The general solution is

- The error in the approximations to y(0.2), y(0.6), and y(1):



Step-by-step explanation:
<em>Point a:</em>
The Euler's method states that:
where 
We have that
,
,
, 
- We need to find
for
, when
,
using the Euler's method.
So you need to:




- We need to find
for
, when
,
using the Euler's method.
So you need to:




The Euler's Method is detailed in the following table.
<em>Point b:</em>
To find the general solution of
you need to:
Rewrite in the form of a first order separable ODE:

Integrate each side:



We know the initial condition y(0) = 3, we are going to use it to find the value of 

So we have:

Solving for <em>y</em> we get:

<em>Point c:</em>
To compute the error in the approximations y(0.2), y(0.6), and y(1) you need to:
Find the values y(0.2), y(0.6), and y(1) using 



Next, where
are from the table.



Answer:
x = 3 ± sqrt(11)
Step-by-step explanation:
x^2 - 6x + 9 = 11
Recognizing that this is a perfect square trinomial
(x-3) ^2 =11
Taking the square root of each side
sqrt((x-3) ^2) = ± sqrt(11)
x-3 =± sqrt(11)
Add 3 to each side
x = 3 ± sqrt(11)