Answer:β=√10 or 3.16 (rounded to 2 decimal places)
Step-by-step explanation:
To find the value of β :
- we will differentiate the y(x) equation twice to get a second order differential equation.
- We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β
y(x)=c1cosβx+c2sinβx
we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.
Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate βx in each case and multiply with the differential of c1cosx and c2sinx respectively.
lastly the differential of sinx= cosx and for cosx = -sinx.
Knowing all these we can proceed to solving the problem.
y=c1cosβx+c2sinβx
y'= β×c1×-sinβx+β×c2×cosβx
y'=-c1βsinβx+c2βcosβx
y''=β×-c1β×cosβx + (β×c2β×-sinβx)
y''= -c1β²cosβx -c2β²sinβx
factorize -β²
y''= -β²(c1cosβx +c2sinβx)
y(x)=c1cosβx+c2sinβx
therefore y'' = -β²y
y''+β²y=0
now we compare this with the second order D.E provided in the question
y''+10y=0
this means that β²y=10y
β²=10
B=√10 or 3.16(2 d.p)
Answer:
k = 12
Step-by-step explanation:
Given in the question,
Cost of the the movie tickets is proportional to the number of tickets sold.
Cost of movie tickets (C) ∝ number of tickets sold (T)
C ∝ T
C = kT
Here 'k' is a proportionality constant.
Since, line given in the graph passes through a point (5, 60)
60 = k(5)
k =
k = 12
Therefore, value of proportionality constant is 12.
Answer:
300
Step-by-step explanation:
I think its 300 but if I'm wrong then XD I Don't know
Answer:
Hope this helps, it was a hard equation... mark me brainliest
Step-by-step explanation:
9x+27÷8x-24=64÷2x
9x÷8x+3=64÷2x
9x÷8x*2x=61
x^3=244/9
x=
approximately 3.00411
<u>Answer:</u>
The answer is B -->
<u>How I got that:</u>
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These are really easy, you're simply looking for numbers that you can factor down. Like here:
I took:
and saw that I could factor out 4 from the denominator:
and then I canceled out the common factor (4 because its on both sides):
And there ya go!
<em>~That's All Folks~</em>
<em>-Siascon</em>