Monday

April 21, 2014

April 21, 2014

Posted by **maggie** on Friday, February 4, 2011 at 12:38am.

- calculus - slope -
**MathMate**, Friday, February 4, 2011 at 6:23amWe will start with the general case of the function sin(x).

The minima (lowest points) of the graph of sin(x) occurs at

x=xmin=3π/2+2kπ where k∈ℤ (i.e. k=integer)

The maxima (highest points) of sin(x) occurs at

x=xmax=π/2+2kπ where k∈ℤ.

Two consecutive minimum/maximum could therefore occur at xmin=3π/2 and xmax=5π/2.

The given function is 3sin(2x), so

2x=3π/2, or x1= 3π/4 for minimum.

The ordinate at this point is

f(x1)=3sin(2*3π/4)=-3

Therefore x1(3π/4,-3).

and

2x=5π/2, or x2= 5π/4 for maximum.

The ordinate at this point is

f(x2)=3sin(2*5π/2)=3

Therefore x2(5π/4,3)

The slope is therefore

m=(y2-y1)/(x2-x1)

=(3-(-3))/(5π/4-3π4)

=3.82

Check my calculations.

**Related Questions**

calculus - On the graph of f(x)=7sin(7pi x), points P and Q are at consecutive ...

calculus - On the graph of f(x)=6sin(8πx), points P and Q are at ...

Calculus 1 - On the graph of f(x) = 8*sin(3pi*x), points P and Q are at ...

math - i have more than one question so if u no any of the answers please tell ...

Calculus - 55. Find an equation of the tangent line to the graph of f(x) =x^3 - ...

Math/Algebra do u know how to do slope intercept? - The following problems are ...

Math 101 - Find the equation for each of the following items below: a. A line ...

College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...

Algebra - graph the equation x-3=y (where do I plot the points?) find the ...

slope(algebra 1) - i know that slope is rise over run, but how do i find the ...