Answer:
- 1.6
Step-by-step explanation:
If divide these to numbers without the negative, you'll get 1.6
Then you can add the negative sign to the 50 and 1.6 and you'll get the correct answer... btw I'm just lazy and that's my way of dividing negative numbers.
Answer:
19872 is your answer
Step-by-step explanation:
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:
40 mph
Step-by-step explanation:
One hour includes 60 minutes
8/60=0.13(3 repeating)
You only need 15 minutes of time
0.13(3 repeating)*15=2
8+2=10 miles
15 minutes is 1/4 of an hour
10*4=40 mph
Answer:
7
Step-by-step explanation:
