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mathematics(area)

by rohan peter -

f(x) be a non -negative continous function such that the area bounded by the curve y=f(x),x-axis and the ordinates x=pi/4 and x=k.pi/4 is

[k sink + pi/4 cosk +21/2k],then f(pi/4) is

Velocity Addition And Subtraction

by Anshul Chanchlani -

Suppose if two motorcycles are moving in the same direction with different speeds. The speed of motorcycle A is 60 m/s and of B is 80 m /s. So the rider A would say that rider B is moving with a velocity 20 m/ s ( VB - VA) . But if someone is in a boat and it  is sailing in a river which is flowing downstream then he/she  says that the speed of the boat is  the original speed of the boat + the speed of the river downstream. Is it correct?

differentiation

by Krishnan S -

 If f(1) = 3 and f '(1)= -1/3 then the derivative of

( x11+f(x))-2 at x=1 is

answer is f '(1)

physics

by rohan peter -

a wave travelling along the x-axis is described by the equation y(x,t)=0.005 cos(lx-mt).if the wavelength and the time period of the waves are 0.08m and 2.0s respectively,then l and m in appropriate units are.

plse explain

mathematics

by rohan peter -

the parabola  y2=ax cuts x2-y2=2a2 at P and Q. the tangent at P to the hyperbola cuts the parabola again in R.The area of curvilinear triangle PQR is.

plse explain

 

physics

by diya sen -
a block is projected up a frictionless inclined plane with a initial speed v = 3.50 m /sec. the angle of incline is theta = 32 degree. how far up the plane does it go ?

Trigonometrical Ratios and Identities

by Anshul Chanchlani -

Prove that

tan2 pie/16 +  tan2  2 pie/16 + tan2  3pie/ 16 ........ + tan2  6 pie/16  + tan2  7 pie/16 = 35

Please reply with solution. Thanks!

 

Atomic Structure

by Anshul Chanchlani -

When the light of wavelength 470 nm falls on the surface of potassium metal, electrons are emitted with velocity of 6.4 * 104 ms-1. Calculate the minimum energy required per mole to remove an electron from potassium metal?

Is E= h/v and avagadro's constant sufficient for this question. ? and if yes then where do we use wavelength and potassium metal.

Reply with solution.

Thanks!