Chapter 4: Q59E (page 256)
A canister is dropped from a helicopter 500 m above the ground. It parachute does not open, but the canister has been designed to withstand an impact velocity of 100m/s. Will it burst?
No, the canister will not burst.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
(a) Sketch the graph of a function satisfies the following conditions that the graph has two local maxima, one local minimum and no absolute minimum.
(b) Sketch the graph of a function satisfies the conditions that the graph has three local minima, two local maxima and seven critical numbers.
Show that \(\sqrt {1 + x} < 1 + \frac{1}{2}x\) if \(x > 0\).
A cone-shaped drinking cup is made from a circular piece of paper of radius \(R\) by cutting out a sector and joining the edges \(CA\) and \(CB\). Find the maximum capacity of such a cup.
Find the critical numbers of the function.
31.\(F(x) = {x^{\frac{4}{5}}}{(x - 4)^2}\).
A cone with height \(h\) is inscribed in a larger cone with height\(H\)so that its vertex is at the center of the base of the larger cone. Show that the inner cone has maximum volume when \(h = \frac{1}{3}H\).
What do you think about this solution?
We value your feedback to improve our textbook solutions.
