Question

Exponential function : y=ae^-bx for 0 ≤ x ≤ 10
Two points given : (0,6) (10, y)

a) Determine the value of a
Is it 6????
b) If y-60 when x=4, find the value of b using your value of 'a' from a)
c) Find the height of y from the point (10,y)

Answer 1

so you know that e^-b = 1/e^b then you can rewriting this like

y= ax/(e^b)

so from (0,6) you know that y=6 when x=0

i think that i have understood it wrong the bx wan being exponent of e ,right ? so then

y= a/(e^(bx)

a). y*e^(bx)=a so result 6*e^(b*0) = a so 6*1=a then result a=6

b).y=60 when x=4 and a=6 so b=?

60= 6/e^(b*4)

60*e^(b*4) = 6

10*e^(b*4)= 1

do you can continue it ? i need to go

hope this will help you little

bye