8.544 is the sqare root with a remainder
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)
Hi there!
210 as a product of its prime factors:
2*3*5*7
Keep in mind that prime numbers are only divisible by 1 and themselves.
Check It!
2 - divisible by 1 and itself, so it's prime
3 - divisible by 1 and itself, so it's prime as well
5 - divisible by 1 and itself, so it's prime
7 - divisible by 1 and itself, so it's prime
Hope this helps you!
~Just a felicitous girlie
#HaveAnAwesomeDay
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You just need to divide total weight of strawbeerries to the amount that Janet uses for each pancake.
3/(1/3) = 9
Answer:
2x-9
remainder is 3
Step-by-step explanation:
Check the image