For each family of functions that depends on one or more parameters, determine the function’s absolute maximum and absolute minimum on the given interval.

b) w(x) = a(1- e^-bx), [b , 3b]

Question

For each family of functions that depends on one or more parameters, determine the function’s absolute maximum and absolute minimum on the given interval. 


 b) w(x) = a(1- e^-bx), [b , 3b]

lastdaywork · Answer

For
$$x \ge 0$$
$$e^x \ge 1$$

Now, can you solve the question ??

anonymous · Answer

I don't get it. Im really not good at math :(

anonymous · Answer

so x>1 means x= b is max?

lastdaywork · Answer

How do you generally solve such questions ??

anonymous · Answer

I still don't know

anonymous · Answer

my instructor doesn't teach, it is a group work. we have to study by our own.

lastdaywork · Answer

Can you make a graph for -
$$w(x) = 1 - \frac{ 1 }{ e^{bx} } ;$$
b/w x = b and x = 3b

for case
(1) b > 0
(2) b <0

??

anonymous · Answer

b>0 min and for b<0 is max? is that right?

lastdaywork · Answer

You'll get the same answer for both cases.

anonymous · Answer

so its neither

lastdaywork · Answer

IDK how to explain you without referring to the graph.
Maybe @agent0smith can help here.