Answer:
Step-by-step explanation:
A function is continuous at a point if and only if:
So, we have the piecewise function:
And we want to find the value of k such that the function is continuous.
First, find the left hand limit of f(x):
Since we're coming from the left, we'll use the first equation. Thus:
Direct substitution:
Simplify:
Subtract and divide:
So, what this tells us is that for the function to be continuous, the right hand limit as f(x) approaches 9 from the right <em>must</em> also be equal to 0.
Therefore:
Direct substitution:
Subtract 1 from both sides:
Divide both sides by -9:
Therefore, the value of k is 1/9.
So, our equation in the end is:
You can say an object slow down when the acceleration is negative which can be observed on a negative slope during the graph of acceleration, from a position equation lets derive 2 times to attain the acceleration equation
<span>x(t) = 81/2*t^2-3/4*t^4
V(t) = 81X - 3t^3
A(t) = 81 - 9t^2
</span>81 - 9t^2 < 0<span>
t^2 > 9
-3 > t > 3
</span>
Answer:
if you want to build bridges the Pythagorean theoum is what many people use.
Answer:
perpendicular lines
Step-by-step explanation: