Posted by linda on Monday, December 5, 2011 at 11:33pm.
State two intervals in which the function y=7sin(1/5x)+2 has an average rate of change that is:
a) zero
b)a negative value
c)a positive value
Please explain how to get the intervals! Thanks a lot in advance!

Math  Trig please help!  Steve, Tuesday, December 6, 2011 at 10:41am
a) pick two values of x where y is the same. The average rate of change for that interval will be zero.
For example, if x = pi, then y = 7sin(pi/5)+2
Now sin(4pi/5) = sin(pi/5), so if x = 4pi, then
y = 7sin(4pi/5) + 2
so, on the interval [pi,4pi] the average rate of change is zero.
Taking the easy way out, just tweak the ends of the interval to make the slop of the line negative or positive.
Since sin(pi/5+.01) > sin(pi/5)
the slope on [pi+.05,4pi] will be negative
similarly, on [pi.05,4pi], the slope is positive

Math  Trig please help!  kutha kamina, Sunday, November 20, 2016 at 8:44pm
boi u suck cant even do this question
Answer This Question
Related Questions
 calculus 1  f(x) = 3x^3  9x + 5 find the: 1) zeroes or undefined values 2) ...
 Math, calculus, advanced functions, pre calculus  An investments value, V(t) is...
 trig  use the function G(x)=x^38x +1 b) identify and verify the y intercept of...
 mathcalc  for x (12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which ...
 calculus  For the function f(x)=x^3e^x, determine intervals of increase and ...
 Calculus! Please Help!!  The dollar value of a stock x weeks after a change in ...
 Math  Hello, I'm supposed to do the following questions for the equation y=cos(...
 Calculus  I am stuck on both of these questions. Would you please tell me if my...
 math  . Given the following function, f(x)=x^2 8x find: (a) vertex, (b) axis...
 math  x^2  4 What are the: Intervals on which the graph is above the x axis ...
More Related Questions