Questions asked by E. H.

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• How do you prove tanx tanx(1/2)=secx-1?
  
• How do you prove #1-4sin^4x=cos^2x(1+2sin^2x)#?
  
• How do you prove #1-4sin^4(x)=cos(2x)(1+2(sin^2)x)# ?
  
• How do I graph the ellipse (x^2)+(4y^2)-2x=0 ?
  
• If p(x) is a polynomial of odd degree, show that the equation p(x)=0 has at least one solution. how would I do this?
  
• Let y=f(x) be a continuous function defined on the closed interval [0,b] with the property that 0<f(x)<b for all x in [0,b]. Show that there exists a point c in (0,b) with the property that f(c)=c. How would set this up?
  
• How would I start this?
  
• Find #dy/dx# of #y=(5-x)^3(4+x)^5#?
  
• How do I set this up to verify?
  
• How do I find the velocity of a fallen object given the height and seconds it took for the object to hit the ground?
  
• A bag of ballast is accidentally dropped from a balloon which is stationary at an altitude of 4900m. How long does it take for the bag to hit the ground?
  
• What does this graph look like?
  
• How do go about this problem after finding dp/dt in terms of and dV/dt?
  
• Water is being poured into a hemispherical bowl of radius 3 inch at the rate of 1 inch^3/s. How fast is the water level rising when the water is 1 inch deep ?
  
• How do I find the area bounded by the given curve, the x-axis and the given vertical lines?
  
• How do I do this?
  
• How do I find the area between y=x^3 and it’s tangent at x=1 ?
  
• How do I find the length of the specified arc of the given curve? y^2=x^3 between (0,0) and (4,8)
  
• How do I find the length of y=1/2 (e^x + e^-x) from the x=0 and x=b ?