Answer: -6x^2 + 3x + 4
Step-by-step explanation:
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:

is autonomous

is *not* autonomous
Answer:
2.1
Step-by-step explanation:
This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1
Answer:
The dimensions are (7m-3) by (7m-3)
Step-by-step explanation:
We have the area of the rectangular field to be:

We need to factorize this expression.
Let us rewrite to obtain:

We can easily see that the expression is actually a perfect square trinomial.
This gives us:

Or

Factored form - x= -1/2, -5/4