Answer:
Step-by-step explanation:
Alright. I can't really explain much but i can get your answer.
AS A DECIMAL: 1.047197551196597746154214461093167628065723133125035273658
As a property:
π/3
Sorry if its wrong... I tried lol
If function is 'F' the the inverse would be F^-1 or 'F to the power of negative one.'
<span>Given:
AB = x + 16
BC = 4x + 11
AC= 77
We can safely assume that,
AB + BC = AC
x + 16 + 4x + 11 = 77
5x + 27 = 77
5x = 77 - 27
5x = 50
x = </span>
x = 10
Hence,
AB = x + 16 = 10 + 16 = 26
Hence, proved.
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)