modelling

[limpid rapids]

help guys i don’t know how to do the final steps of part d

so i got A+B= 94

but idk what sort of equation is that

[limpid rapids]

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help please

[quasi eagle]

what paper is this

[limpid rapids]

2020 may

[heavy glade]

which part you need help with?

[heavy glade]

this is correct

then u use (8,50) to get another equation and solve simultaneously

[limpid rapids]

idk what to do tbh

and idk how to do that

[heavy glade]

put 8 into t and 50 into u

and you will get another equation

[limpid rapids]

okay whag do i do after ?

[heavy glade]

find B in terms of A and e

then sub it into A + B = 94

Then you can find the value of A

And the equation of the asymptote will be y = A

[limpid rapids]

if u don’t mind can i see a worked solutjon?

[heavy glade]

1 sec

[limpid rapids]

appreciated

[heavy glade]

94 = A + B

50 = A + Be^-1

Rearranging the above gives us B = e(50-A)

[heavy glade]

Now sub back into here

94 = A + 50e - Ae

A - Ae = 90-50e

A(1-e) = 90 - 50e

A = (90-50e)/(1-e)

Then the equation of the asymptote is y = A

[heavy glade]

I don’t have a calculator on me so you just need to type this into yours

[limpid rapids]

how is y equal to A

[heavy glade]

Basically the equation is u = A + Be^-t/8

As t gets bigger and bigger the Be^-t/8 will become closer to 0

But the A will never change

So it will not go below A so the asymptote is y = A

[limpid rapids]

oh i see thank you

[heavy glade]

nws

[limpid rapids]

do you mind if i dm you?