The table is missing, so i have attached it.
Also, the correct question is;
The surface area of the East China Sea is k times the surface area of the Baltic Sea.
Work out the value of k.
Give your answer to the nearest whole number
Answer:
k = 3
Step-by-step explanation:
From the attached table,
Surface area of east china = 1.25 × 10^(6) km²
Surface area of Baltic sea = 4.22 × 10^(5) km² = 0.422 × 10^(6) km²
We are told that the surface area of East China Sea is k times that of the surface area of the Baltic Sea.
Thus;
1.25 × 10^(6) = k × 0.422 × 10^(6)
k = 1.25/0.422
k = 2.96
Approximating to whole number gives;
k = 3
11.5 is a rational number
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:
24.012
Step-by-step explanation:
y=kx^2
54=81k
k=54/81
k=0.667
y=kx^2
y=0.667×36
y=24.012