Thursday

March 26, 2015

March 26, 2015

Posted by **Shelley** on Thursday, February 8, 2007 at 5:25pm.

1. Sketch the region in the xy-plane defined by the inequalities x-2(y^2)> 0 and 1-x-abs(y)>0. and find its area.

Would it be best to solve for x, then graph it as x= something? Then find the integral with dy?

2. a. Find the number a such that the line x=a bisects the area under the curve y=1/x^2, 1<x<4.

b. Find the number b such that the line y=b bisects the area in part a.

For this, I graphed it then tried to draw a line to vertically bisect it. Is it right to just say that b is the x value that it bisects the graph at?

Thank you for your help!!

Yes, I would do the first one that way.

Yes, but you can do it with the integral, let the integral of one side equal the integral of the other side, then solve for b, the center part.

**Answer this Question**

**Related Questions**

math, calculus - 1. Consider the region bounded by the curves y=|x^2+x-12|, x=-5...

Calculus - MathMate Please help - ok, i tried to do what you told me but i cant ...

Algebra - Consider the two inequalities 2x - 4 < y and y < -2/3x + 2. (b) ...

calculus 2 - Justify, with a written explanation or a mathematical reasoning ...

Calculus - Sketch the region enclosed by the given curves. Decide whether to ...

Calculus 2 - Sketch the region enclosed by y=e^2x, y=e^6x, and x=1. Decide ...

calculus - Sketch the region enclosed by x+y^2=42 and x+y=0. Decide whether to ...

calculus showed work - find the area of the rgion bounded by the graphs of y=x^3...

Calculus - Sketch the region enclosed by the curves x= 49-y^2 and x = y^2 - 49. ...

calculus - Sketch the region enclosed by 2y=5sqrtx, y=5 and 2y+3x=8. Decide ...