sudden lily
There is a line through the origin that divides the region bounded by the parabola and the x-axis into two regions with equal area. What is the slope of that line?
I've attached my attempt at solving this problem. I've been on this problem for hours and had no luck. I'd appreciate any help!
ivory bridge
There is a line through the origin that divides the region bounded by the parabo...
equation of line is y = mx since it passes through the origin, find their intersection point, and use integration and set both areas to equate each other then solve for m
sudden lily
I think I tried that but it didn't work?
ivory bridge
I think I tried that but it didn't work?
really? you may be doing sth wrong, miscalculation maybe
sudden lily
I keep looking over it but I can't seem to find what went wrong, could you possibly help me check my work please?
tough wharf
There is a line through the origin that divides the region bounded by the parabo...
The total area under the parabola is S = 4/75, so half of it is S/2 = 2/75.
So:
5a^3/6 = 2/75
a^3 = 4/125
a = 4^(1/3)/5
So, the slope should be m = 2 - 4^(1/3).
sudden lily
The total area under the parabola is S = 4/75, so half of it is S/2 = 2/75.
So:
...
OH
Wow I completely messed up on the easiest part…
Thank you so much!
rustic turretBOT
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