A I guess (finger crossed )
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)
95n+75 is less than or equal to 645. 645-75=570. 95n is less than or equal to 570. 570/95=6. A maximum of six nights
Answer:
I’m pretty sure it’s B)- Z
Step-by-step explanation:
18. The correct table must display the following information.
38% prefer turkey with mayonnaise 20% prefer turkey with mustard 24% prefer ham with mayonnaise 18% prefer ham with mustard
In tables Z and W, each table totals 50 people.
To find the relative frequencies of the data in these tables, divide each number in the table by 50.
In tables X and Y, each table totals 100 people.
To find the relative frequencies of the data in these tables, divide each number in the table by 100.
The only table which is a possible representation of the data collected is table Z.
Likes Baseball
Does Not Like Baseball
Total
Likes Football Does Not Total Like Football
0.50 0.64 0.54
0.50 0.36 0.46 1.00 1.00 1.00
Mayonnaise Mustard
Total
Turkey
19 ÷ 50 = 0.38
10 ÷ 50 = 0.20
29 ÷ 50 = 0.58
Ham
12 ÷ 50 = 0.24
9 ÷ 50 = 0.18
21 ÷ 50 = 0.42
Total
31 ÷ 50 = 0.62
19 ÷ 50 = 0.38
50 ÷ 50 =1.00
