Find a point on the line y = 2x+5 that is closest to the origin
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
distance of origin from a pt. on the line is sqrt.[(x)^2 + (2x+5)^2].................square it since the distance and its square maximise simoultaneously and then differentiate with respect to x and find the minima....the corresponding value of x and y will give you the required point....
Thanks, that is correct sir. Except I'm not sure why you differentiate D^2 instead of D. Will differentiating D give you the same answer? My textbook mentions the same thing, but it doesn't really explain why
yeah differentiating D would also yield the same answer but differentiating a square root is a tedious job so instead we diff. D^2......if D is min. for some value of x, it's square will also be min. at same value of x as compared to the other values....got it..???