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

area of the vegan? :) does your parabola eat no animal products?

oops i meant area of the region bounded by the parabola

Sorry Shyrene, idk. But since a parabola is a type of line, won't it be infinite, therefore haveng an infinite area?

idk? that's why im here asking for some help?.... if only they actually had examples like these in the book.

so we need to find the tangent line at (1,1) of y=x^2 do you know how to do that?

let me know what you get for the tangent line at (1,1) of y=x^2 ok?

and i will tell you if it is right or not. and did you see my drawing above?

tangent line y=2x?

you got y'=2 at x=1. so we have the slope of y=mx+b. so we have y=2x+b. we need to find b the y-intercept. So we know a point (1,1) on the line. so we have 1=2(1)+b. We solve this equation for b and get b=-1. so the tangent line to x^2 at (1,1) is y=2x-1

thank you i actually understood that.

np

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