The value of m 0 for which of the area of the region bounded by the curvesy = x - x2 and the line y = mx equals 9/2 is ____________.Correct answer is '4'. Can you explain this answer?

Question

The value of m > 0 for which of the area of the region bounded by the curvesy = x - x2 and the line y = mx equals 9/2 is ____________.Correct answer is '4'. Can you explain this answer?

Answer

For point of intersection

mx = x - x²

⇒ x² = x(1 - m)

⇒ x = 0, 1 - m

then given area is equal to 9/2

Similar Mathematics Doubts

Volume of the solid generated by revolving the region bounded by the lines x = 0 , x = 2 and the curve about the line y = 2 is equal to _______. Correct answer is '6.345'. Can you explain this answer?

, where [x] is greatest integer less than or equal to x and D is the region bounded by x = 0, y = 0 and x + 2y = 2, then the value of givin integral is ..... Correct answer is '0.75'. Can you explain this answer?

The volume of the region in the first octant (x>=0,y>=0,z>=0) bounded by the cylinder x^2 y^2=4 and the plane z=2 and z y=4 equals?

Let S be the surface of cone z=√x^2 y^2 bounded by the planes z=0 and z=3. further, let C be the closed curve forming the boundary of the surface S. A vector field F is such that curl F =-xi-yj .the absolute value of the line integral F.dr?

The value ofwhere R is the region in xy-plane bounded byx2 + y2 = 4 and x2 + y2 = 9 i s _______ . (correct upto two decimal places) Correct answer is '39.79'. Can you explain this answer?

Top Courses for Mathematics

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams