If the line x=αdivides the area of region R={(x,y)R2:x3≤x,0≤x≤1}into equal parts, then: 2α4−4α2+1=0 α4+4α2−1=00<α≤21 (d) 21<α<1

Video solution available for this question. Click here.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If the line {x}= the area of region {R}={{({x},{y})}{R}^{{2}}:

Question

If the line $x = α$ divides the area of region $R = {(x, y) R^{2} : x^{3} \leq x, 0 \leq x \leq 1}$ into equal parts, then: $2 α^{4} - 4 α^{2} + 1 = 0$ $α^{4} + 4 α^{2} - 1 = 0$ $0 < α \leq \frac{1}{2}$ (d) $\frac{1}{2} < α < 1$

Views: 1,031 students

Found 5 tutors discussing this question

Mila Discussed

If the line

x = α

divides the area of region

R = {(x, y) R^{2} : x^{3} \leq x, 0 \leq x \leq 1}

into equal parts, then:

2 α^{4} - 4 α^{2} + 1 = 0

α^{4} + 4 α^{2} - 1 = 0

0 < α \leq \frac{1}{2}

(d)

\frac{1}{2} < α < 1

10 mins ago

Discuss this question LIVE

10 mins ago

Learn from their 1-to-1 discussion with Filo tutors.

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	If the line $x = α$ divides the area of region $R = {(x, y) R^{2} : x^{3} \leq x, 0 \leq x \leq 1}$ into equal parts, then: $2 α^{4} - 4 α^{2} + 1 = 0$ $α^{4} + 4 α^{2} - 1 = 0$ $0 < α \leq \frac{1}{2}$ (d) $\frac{1}{2} < α < 1$
Answer Type	Video solution: 1
Upvotes	150