Recent content by Modern Algebr

  1. M

    Find the Limits of f(x)=(x^2-16)/(sqrt(x^2-8x+16)) at x=4

    y=(x^2-16)/abs(x-4) = x+4,x>4 =-x-4,x<4 this is a piece wise function, mow you can easily find the left,right limit Note:Limit of f(x) as x approaches 4 doesn't exist as left and right limit at x=4 are not equal The more intuitive way is to draw the graph of the piecewise function!
  2. M

    How Is Downward Displacement Calculated in a Hanging Prismatic Bar?

    A prismatic bar AB of length L, cross-sectional area A ,modulus of elasticity E ,and weight W hangs vertically under its own weight a>derive a formula for the downward displacement d(c) of point C which is located at a distance l from the lower end of the bar The answer is W(L^2-l^2)/(2EA)...
  3. M

    Fluid mechanics of a sinking ball

    A cylinder is full of water, a ball is sinking vertically along the central height the cylinder (ie the centre of the ball is along the central axis of the cylinder) with a constant speed V ,if the radius of the ball is r and the radius of the cylinder is R (r<R), find the volume of water...