Question

find the area of the region bounded by the given curves. y = 1-2x^2, y = |x|

Answer 1

what have you tried ? where are you stuck at ? show your attempt

Answer 2

well i have tried equaling the equations to each other to find the intercepts

Answer 3

but im stuck there

Answer 4

thats a good start

Answer 5

you can split y = |x| into a piecewise function :
\[|x| = \left\{\begin{array}{r} -x&:&x\lt0\\x&:&x\ge 0 \end{array}\right.\]

Answer 6

k

Answer 7

for the left side intersection point, you solve below :
\[ y = 1-2x^2\]
\[y = -x\]

Answer 8

how did u get -x?

Answer 9

he got the -x from the absolute value function

Answer 10

^

Answer 11

k

Answer 12

idk how to solve it. thats where im stuck

Answer 13

set them equal, you will get a quadratic

Answer 14

\[-x = 1-2x^2\]
\[2x^2-x-1 =0\]

can you solve x ?