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:
y = 5/7 x - 6
Step-by-step explanation:
For two lines to be perpendicular, the product of their slope must be -1
The slope of the given function is -7/5
Let the slope of the required function be m
m * -7/5 = -1
7/5 m = 1
7 = 5m
m = 5/7
The slope of the line perpendicular to the line is 5/7
The required equation (using any value of the y-intercept) is expressed as;
y = 5/7 x - 6
Note that the y-intercept value was assumed and any value can be used
Answer:
no false.
Step-by-step explanation:
Answer:
4 pieces with 3 sides
2 pieces with only the top
Step-by-step explanation:
First we need to determine how many squares
9/3 = 3
12 /3 = 4
3*4 = 12
There will be 12 pieces of cake
There are 4 corners
They will have frosting on the top and two sides for 3 total sides
There will be 2 pieces will be in the middle with only the top frosted
R(–3, 4)
Step-by-step explanation:
Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.
By section formula,
Here, 
Substituting this in the section formula
To simplifying the expression, we get
⇒ R(x,y) = R(–3,4)
Hence, the coordinates of point R is (–3, 4).
