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First problem:

x² + 4y² + 5 = 4z

x-y >or= z

Second problem:

x + (1/y) = 1

xy² + (1/x²y) = 1 + (y/x)

How to solve the above two problems?

why is there a mistake?

Q.57 on page 169 of HCV Part 2... Capacitor divided into two segments by a diagonal... the segments have dielectric strengths K1 AND K2... whats the equivalent K?

Current flows on a metallic strip of width 'a'. It is places in a magnetic field such that B is perpendicular to the strip. What is the potential difference between top and bottom edge (the ones seperated by 'a' distance) if cross section area is 'S', current is 'I' and concentration of electrons in n.

There are two homogenous parallel magnetic fields B₁and B₂... a charged particle flies into the the fields with velocity v perpendicular to both fields at the perpendicular between two fields (labelled x-axis)... thereon it has an average velocity v_xalong that axis.

What is the relation between the two fields B₁and B₂? Following pic may clarify the situation:

Linkification: <a href=

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Answer given is:

B₂2v + pi * v_x
---- = ----------------
B₁2v - pi * v_x

How to solve?

thats square root of x...

2sin^-1x * cos^-1x = 3cos^-1(1/

x) *sin^-1(1/

x

if anyone could solve it please respond... will rate

anyone could solve any of the above?

2sin^-1x * cos^-1x = 3cos^-1(1/

x) *sin^-1(1/

x)

sin^-1x = 2tan^-1x

2sin^-1x = cos^-13x

How to solve these individual equations?

can some brief me on how to rate satisfactory answers... what does "accept answer" do and what are the 3 symbols on the bottom right of the reply?

sin^-1x * cos^-1x = -1

How to solve this? I don't know if this is part of jee syllabus... but i'm interested to know...

cos²y + 3sinxsiny = 0
21cos2x - cos2y = 10

How to solve this system?

4cosx + 6cosy = 5

2sinx + 3siny = 0

how to solve this system?

thanks... what about the second problem??

solve the following trigonometric equations...

1. sqrt(3)*(2-cosx) + 4sin2x = sinx

2. 20cos^2(x) = 5 +sinx + sqrt(3)cosx

my only guess is that

sinx + sqrt(3)*cosx

can be written as

2sin(x+pi/3)