Answer: 
<u>Step-by-step explanation:</u>
Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).
This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x).
<span>Multiplying both sides of the equation by the integrating factor: </span>
<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>
<span>The left side is the derivative of ye^(6x), hence </span>
<span>d/dx[ye^(6x)] = e^(12x) </span>
<span>Integrating </span>
<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>
<span>y = (1/12)e^(6x) + ce^(-6x) </span>
<span>Use the initial condition y(0)=-8 to find c: </span>
<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>
<span>Hence </span>
<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
Answer:
The word pod has rotational symmetry. This is because when rotating it 180° it still reads the word pod.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply the entire equation by 4,
4y = -3x - 24
Add 3x to both sides
3x + 4y = -24
Add 24 to both sides
3x + 4y + 24 = 0
The two angles are obtuse which is greater then 90 degrees or acute which is less then 90 degrees.
