Answer:
- − 11 − 8 ( n − 1 ) g(n)=-11-8(n-1) g(n)=−11−8(n−1)g
Step-by-step explanation:
Left parenthesis, n, right parenthesis, equal, minus, 11, minus, 8, left parenthesis, n, minus, 1, right parenthesis.
Nothing there.
Use this as a tip:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
We readily separate the variables and integrate:
∫dP/P=∫(k+bcos2
t)dt
ln P=kt+(b/2
)*sin2
t+ln C
Clearly C = Po, so we find that P(t) = Poexp(kt + (b/2
)* sin 2
t). The 271- curve with the typical numerical values P_o = 100, k = 0.03, and b = 0.06. It oscillates about the curve which represents natural growth with P_o and k = 0.03. We see that the two agree at the end of each full year.
note:
find the attached graph
Answer:
<em>300watts</em>
Step-by-step explanation:
Given the power generated by an electrical device modeled by the equation
P(x) = -12x²+120x
The maximum power generated occurs when dP(x)/dx = 0
dP(x)/dx = -24x+120 = 0
-24x + 120 = 0
-24x = -120
x = 120/24
x = 5
Substitute x = 5 into the modeled function to get the maximum power as shown;
Recall that: P(x)=-12x^2+120x
P(5) = -12(5)² + 120(5)
P(5) = -12(25) + 600
P(5) = -300+600
P(5) = 300
<em>Hence the maximum power generated by the circuit is 300watts</em>