Question

Find the exact positive value of c if the area between the graph of y = x^2 − c^2 and the x axis is 40.

Answer 1

any help would be appreciated!! :/

Answer 2

i don't get what the limits are

Answer 3

same. I'm so confused

Answer 4

oh i guess we are using the intersections...

Answer 5

that is the intersections of the y=x^2-c^2 and the x-axis

Answer 6

x^2-c^2=0 when x=?

Answer 7

sqrt (c^2)

Answer 8

so we have our upper and lower limit there
x^2=c^2
x=sqrt(c^2)
x=c or -c
c is the upper limit
-c is the lower limit
\[\int\limits_{-c}^{c}(0-(x^2-c^2))=40\]

Answer 9

solve that for c

Answer 10

so solve the integral for c?

Answer 11

c^2 there is the y-intercept of y=x^2-c^2