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1. ### solve 2cos(2x) + 4 sinx cosx = √(2) between the limits 0 ≤x ≤2π?

Simplify LHS to: 2{cos(2x)+sin(2x)} = 2√2{(1/√2)cos(2x)+(1/√2)sin(2x)} =2√2(cos(2x-(π/4))) Solve.

1 Answers · Science & Mathematics · 20/04/2013

2. ### can you please prove these trigonometric identities?

... ) x (sin²x + cos²x) =(cos^4) (X) - (sin^4) (x) d) LHS: cot X sin 2X=(cosx÷sinx) x (2sinxcosx) =2cos²x...

3 Answers · Science & Mathematics · 07/10/2011

3. ### dx/dt = (1-x)(1+x), x(2)=0?

dx/dt = (1-x)(1+x) dx / (1-x)(1+x) = dt LHS can be split by partial fractions. or 1/ (1-x) (1+x) = 1/2[{1/(1-x...

2 Answers · Science & Mathematics · 09/11/2013

4. ### dx + dy + dz = D/Dx (dx) + D/Dy(dy) + D/Dz (dz)?

the right side of the equation looks weird.....okay is looks meaningless. I don't think You can take the partial derivative of an infinitesimal

1 Answers · Science & Mathematics · 01/05/2012

5. ### Pressure and hydraulic head in an aquifer?

... acting) Stand pipe is up to datum [A] in LHS figure? Then the head will be 15 m at A [ If it is...

1 Answers · Science & Mathematics · 27/09/2011

6. ### how to verify (sec x +csc x)/(tan x +cot x)=(tan x +cot x)/(sec x +csc x)?

It can't be done. It can be shown that the LHS and the RHS are not equal to each other.

1 Answers · Science & Mathematics · 15/09/2011

7. ### calculus area between the curves?

...(x_1,x_2)P(x)dx - Int(x_1,x_2)H(x)dx ?= 25 LHS = 25 ==> CHECKED

1 Answers · Science & Mathematics · 23/07/2011

8. ### A square loop of wire of side 2.3 cm and electrical resistance 79 Ω is near a long straight wire that carries?

...i = current thru wire = 5.5A phi = total flux thru loop x = distance from wire to LHS of loop = 0.09 m v = speed of loop = dx/dt = 0.55 m/s R = loop resistance = 79...

1 Answers · Science & Mathematics · 14/07/2011

9. ### prove the following identity: cos5x - cos3x = -8sin^2x(2cos^3x - cosx)?

LHS=cos5x-cos3x =-2sin4x.sinx =-4sin2x.cos2x.sinx =-8sin^2x.cosx(2cos^2x-1) =-8sin^2x(2cos^3x...

1 Answers · Science & Mathematics · 09/07/2011

10. ### Good in mathematical Induction?

...n-1 Subtract to get n(1)'s = (10^n+1-10^n-9)/81 If n=5, LHS = 11111. RHS = (10^6-10^5-9)/81, which is indeed true. 10^6-10^5 = 9...

1 Answers · Science & Mathematics · 18/06/2011