Thursday

August 28, 2014

August 28, 2014

Posted by **Karen** on Monday, March 22, 2010 at 4:16pm.

1.) Analyze the key features (any asymptotes, intercepts, critical points) and then sketch the graph of the function f(x)= x-0.25/x^2

--> I am unsure about my answers could you tell me if I am correct;

Intercepts: x=0.25 y=0

Asymptotes: Vertical (x=0)/ Horizontal (x=0) f(100)= >0 above and f(-100)= <0 below

Critical points: x=0 and x=0.5

2.) A custom designed large window has the shape of a rectangle with a semicircle added on the top. To ensure adequate illumination, the area of the window needs to be 12m^2. Find the dimension of the window (base and height of the rectangle) if the perimeter is a minimum.

Find the minimum perimeter of the window. They also tell you the base of the rectangle (2r) and the height (h). We can also assume the base of the rectangle (2r) is the base of the semicircle also.

--> I am confused with this question.

**Related Questions**

calculus - Give a reasonable sketch, on the axes provided, of the graph of the ...

graph from asymptotes - Is it possible to roughly sketch a graph(without ...

Calculus (final question I promise) - 1. Use calculus and algebraic methods to ...

Calculus - Sketch the graph of f(x)=-x^4 + 4x^3 - 16x + 16: Find the critical ...

Calculus - Create a function that has a graph with the following features: Two ...

Calculus - Sketch the graph of f(x)=x^2/x-2. Identify the domain, x-intercepts, ...

Calculus - Sketch the graph of f(x)=(x^2 + 2)/x^2 - 4. Fund the vertical and ...

Calculus - Sketch the graph of f(x)=x+2/x-4. Find the vertical and horizontal ...

Calculus - Graph the following function. Find and state the domain, intercepts, ...

URGENT! Last calculus question! - Hey! So, I was wondering if someone could ...