Answered step by step
Verified Expert Solution
Question
00
1 Approved Answer
QUESTION 1 [TOTAL: 20 MARKS] (a) An open box shown below is made from a piece of rectangular card with dimensions of 64 cm and
QUESTION 1 [TOTAL: 20 MARKS] (a) An open box shown below is made from a piece of rectangular card with dimensions of 64 cm and 24 cm. A square side of length x cm is cut out from each corner so that the box can be made by folding. 24cm 64cm (i) Find the equation of volume, V, of the box in terms of x. [3 marks] (1i) Differentiate the volume equation found in part (i). [2 marks] (111) Find the value of x in which may produce a maximum or minimum of V. [4 marks] (iv) Find the value of I and justify whether Vis a maximum or minimum. [5 marks] ( b ) By letting u = 4 + 3x-, find S 2x (4+ 3x3)2 dx. [6 marks]
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started