# calculus help lttle question

posted by .

find the area of the regin bounded by the graphs of y=-x^2=2x=3 and y=3.

i don't need help solving the problem and but i am a little confused.

ok the graph is a parabola and i drew a parobla with y= 3. now when find the area, am I finding the area on the top, above y=3 or on the bottom, below y=3.

i hope my question makes sense. basically, whick part of the graph am I finding the area of. top or bottom?

sorry about the equation. it is actually y=-x^2+2x+3

find the area from the top of the parabola down to y=3

above ("top" of) y=3

y=3 cuts the parabola at (-2,3)and (0,3), so the area bounded is the area of the parabola below the line y=3.

its area is integral(3 - x^2 - 2x - 3)dx from -2 to 0

## Similar Questions

1. ### calculus

Find the area of the region bounded by the parabola y=x^2 , the tangent line to this parabola at (10, 100), and the x-axis.
2. ### calculus

1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7. Show …
3. ### Calculus

Let f be the function given by f(x)=(x^3)/4 - (x^2)/3 - x/2 + 3cosx. Let R be the shaded region in the second quadrant bounded by the graph of f, and let S be the shaded region bounded by the graph of f and line l, the line tangent …
4. ### Halfway solved-calc

So I'm trying to solve this problem but one thing I don't get is, how do I know which method to use just by looking at the graph (disk, washer, or shell)?
5. ### Parabola Ques

Find the point P on the parabola y^2 = 4ax such that area bounded by parabola, the X-axis and the tangent at P is equal to that of bounded by the parabola, the X-axis and the normal at P.
6. ### Calculus-Steve

Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 + 2x+2 over [0,2]. I got 34/3. Calculus - Steve ∫[0,2] (x^2+2x+2) dx = 1/3 x^3 + x^2 + 2x [0,2] = 8/3 + 4 + 4 = 32/3 Why are you taking the antiderivative …
7. ### calculus 2

Find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (1, 3), and the x-axis.
8. ### calculus 2

Find the area of the region bounded by the parabola y = 5x^2, the tangent line to this parabola at (3, 45), and the x-axis.

a) Given x + y = 2 and y = x² - x - 2, find the x-intercepts and y-intercept of the parabola. b) Find the turning point of the parabola. c) Find the x intercept and y intercept of the line graph. d) Find the point(s) of intersection …
10. ### Calculus

'Find the volume of the solid generated by revolving the region bounded by x=16-y^2, x-axis, and y-axis around the x-axis.' I know in theory how to do it, but I'm a little confused by what constitutes the bounded region because it's …

More Similar Questions