<span>y(t) = a exp(3t) + b exp(4t)
conditions, y(0) = 3
y'(0) = 3
y(0) = a exp(3 x 0) + b exp(4 x 0)
= a exp(0) + b exp(0)
= (a x 1) + (b x 1)
= a + b
y'(0) = 0
so the linear equation is, a + b = 3</span>
Answer:
The equation is y=mx+b, where m= slope and b= y-intercept
If your slope was 2 and your intercept was 3, it would look like:
y= 2x+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
When the problem is asking which lines have a slope of -2, this is referring to the steepness or rate of change. To determine which lines have a slope of -2, the line must have a rise of -2 and a run of 1. This means that the line will go down 2 units every 1 unit to the right.
Also, if a line is parallel (lines which never cross), it will have the same slope.
You can also eliminate lines c, and d because they increase while lines a, and b decrease. A and B have the same slope because they are parallel and decrease which means that this must be the answer.
Answer:
It has the same domain and range as the function f(x) = StartRoot x EndRoot. It has the same range but not the same domain as the function f(x) = StartRoot x EndRoot. It has the same domain and range as the function f(x) = negative StartRoot negative x EndRoot.
Step-by-step explanation:
Answer:The surface area of the cube is 100 cm.
Step-by-step explanation:
So since a cube has six faces and all of its lengths are equal. we could use the equation.
10^2 *6= 100 *6= 600
