Posted by Christina on Sunday, August 12, 2012 at 1:44pm.
For the function 2sin(x(pi/3)) between x = 0 and x = 2 : (6 marks)
For what value(s) of x does y have its maximum value?
For what value(s) of x does y have its minimum value?
For what value(s) of x does y=1?

trig  Steve, Sunday, August 12, 2012 at 1:58pm
you know that sin(x) has maximum value at x = pi/2. So, x  pi/3 = pi/2, or x = 5pi/6. However, that is not in the interval [0,2].
So, try x  pi/3 = 3pi/2. x = 7pi/6.
So, y does not achieve its maximum possible value over x in [0,2]. So, the max achieved in [0,2] occurs when x=2, and y = 2sin(2  pi/3)
Similarly for the others.
Answer This Question
Related Questions
 Math  I posted this question before but accidentally typed in the wrong values...
 math  Maximum or minimum values of the function f(x) = (1 – x)^2 e^x is: i need...
 MATHS  The quadratic function f(x) has roots at x=4 and x=2 and has value of 2...
 Maximum and Minimum  Its been awhile since I have done compleating the square, ...
 Algebra1  y=x^2+4x+11 can be written as y=(x+2)^2+7 by completing the square....
 math  Determine whether this function has a mzximum or minimum value and then ...
 Math  The question is: Fr what value(s) of k will the function f(x)=(kx^2)4x+k...
 math  I'm having some troubles with these. Thanks in advance. If a>0 find ...
 maths  #1 x + 2y < 18 x + y < 10 2x + y < 18 x, y > 0 Maximize z = ...
 Algebra Maximum and minimum.  I don't understand how to find the maximum and ...
More Related Questions