Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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82 times 0.35
the answer is 28.7
Answer:
y ≤0
Step-by-step explanation:
The range is the values that y can take
We see that y can be less than or equal to 0
y ≤0
Answer:
ghytmujtjy46hgqmwneymymwrj25rhq
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept, or the y value when x = 0 ---> (0, y)]
To find the equation's y-intercepts, you can rearrange the variables, and isolate/get y by itself
#1
cx + ay = b Subtract cx on both sides
ay = b - cx Divide a on both sides
(0, 
) is your answer
Do the same for the rest, and you should get:
#2 (0, 
)
#3 (0, 
)
#4 (0, 
)
