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Let x be a positive real. Find the maximum possible values of the expression:

y = (x^2 + 2 - (sqrt x^4 + 4 ))/x

pls give a detail solution

The correct answer is 5 + sqrt 10 or 1 - sqrt 2.

"4x2 -4px+p2 -2p+2" Here p2 and x2 means p square and x square and 2p means 2 multiply by p."

Find all the numbers p for each of which the least value of the quadratic trinomial 4x2 -4px+p2 -2p+2 on the interval 0<=x<=2 is equal to 3.

In a college of 300 students ,every student reads 5 news papers and every news is read by 60 students.

The number of news paper is

a] atleast 30 b] atmost 20 c] exactly 25 d] none of the above.

Q. Find eq of the circle passing through the origin if the line pair , xy - 3x + 2y -6 = 0 is orthogonal to it.

Q. Find eq. of the circle which cuts the circle x^2 + y^2 -14x - 8y + 64 =0 and the coordinate axes orthogonally.

Are koi to batao

Tangents are drawn to the circle x^2 + y^2 = a^2 from two points on the axis of x, equidistant from the point (k,0). Show that the locus of their intersection is ky^2 = a^2 (k-x).

The answer is x^2 + y^2 - 2x- 2y = 0.

Find the equation of the circle through the points of intersection of circles x^2 + y^2 - 4x - 6y - 12 = 0 and x^2 +y^2 + 6x + 4y - 12 = 0 & cutting the circle x^2 + y^2 - 2x - 4 = 0 orthogonally.

Q. Find the locus of the mid point of the chord of the circle x^2 + y^2 = 4. such that the segment intercepted by the chord on the curve x^2 - 2x - 2y = 0 subtends right angle at the origin.

Please solve this prob :-

Q1 A circular wire-loop of radius a carries a current i and is placed in perpendicular magnetic field B. Find the force of compression in the wire.

My answer coming to this is i (2 pi a) B. But, correct is iaB!!

Also, net force on a current carrying closed loop in a tranverse magnetic field is 0. Then, how come above a non-zero value is coming.

Please someone solve this hcv problem(of part - 2) on page no. 235.

Q. Consider a solid sphere of radius r and mass m which has a charge q distributed uniformly over it's volume. The sphere is rotated about a diameter with an angular speed w. Show that the magnetic moment u and the angular momentum l of the sphere are related as u = ql/2m.

Please give a detailed solution.

Q 1. If x = -5 + 4i the the value of the expression x^4 + 9x^3 + 35 x^2 + 4 - x =?

Q.2. Let OP.OQ = 1 and O,P,Q are collinear points. If O & Q represent complex numbers 0 & z then P represents what?

If A & B are two matrives & AB = 0. Then :

a)A=0

b)B=0

c)DetA=0

d)DetB=0

Please solve above problem problem first assuming that A&B both are non-zero and then assuming one of A or B is zero.