Assignment help

[randy17]

These questions are part of my calculus assignment. I really need help because its over due and I have no idea how to complete them.

 

[Deleted member 4993]

These questions are part of my calculus assignment. I really need help because its over due and I have no idea how to complete them.View attachment 2903View attachment 2904

Even if you don't know how to complete these - please show us how you would start on these....

Please share your work with us.

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We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")

 

[DrPhil]

These questions are part of my calculus assignment. I really need help because its over due and I have no idea how to complete them.View attachment 2903

These are quite advanced questions - it is hard to believe that you have gotten this far and don't know how to start! But a lot of people have trouble translating word problems from English to Algebra, so I will try to give you hints. For each of these, the first step should be to draw a sketch. Then assign unknowns.

1) Let h(t) = height of water in the trough at time t
.........A(t) = surface area at time t
What is the equation for Volume at time t?

2) Let P = price per room.
.........N(P) = number of rooms rented if price is P
Find a linear relation for N(P).
Total revenue is N(P)*P .. that is the function you have to maximize.

3) Definitely have to draw a picture for this one! Use similar triangles, or let the angle be a variable and use trig functions.

4) I notice that one of the straight differentiation questions mentions "logarithmic derivatives." That would be a good way to do this one:
......ln(Volume) = ln(length) + ln(width) + ln(height)
Then differentiate.

Please show us your work!