Answers edited by Alberto P.

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• Question #60f1a
  
• How do you find all points on the graph of #f(x)=sin^2x# at which the tangent line is horizontal?
  
• Question #084f4
  
• How can you easily visualize the size of the universe?
  
• What is the integral of #int ( sin^3(x))dx#?
  
• Question #9f2d8
  
• Find the polynomial #P(x)# with real coefficients such that #P(2)=12# and #P(x^2)=x^2(x^2+1)P(x)# for each #x in RR#?
  
• Question #93493
  
• #7cosec theta -3 cot theta =7#,then what is the value of 7#cot theta-3 cosec theta # ?
  
• How do you graph #r=2-2costheta#?
  
• What is the net area between #f(x) = 2/(x+1)^2 # and the x-axis over #x in [1, 2 ]#?
  
• Question #f0f5a
  
• How do you integrate #int e^x/[(e^x-2)(e^(2x)+1)]dx# using partial fractions?
  
• Question #084f4
  
• Using the limit definition, how do you find the derivative of # f(x) = (x^2-1) / (2x-3)#?
  
• Question #6c76f
  
• How do you find the equations of the tangents to #5x^2-4y^2=4# at those points where the curve is cut by #5x-2y=4#?
  
• Wha tis the sum of the first seven terms of the geometric series #3 + 12 + 48 + 192 + ...#?
  
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,4 )# to #(2 ,1 )# and the triangle's area is #18 #, what are the possible coordinates of the triangle's third corner?
  
• Triangle A has an area of #18 # and two sides of lengths #9 # and #6 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the maximum and minimum possible areas of triangle B?
  
• How do you find the equation of a line tangent to the function #y=x^3+6# at (1,7)?
  
• Anna is 6 ft. tall. She is walking away from a street light that is 24 ft tall at a rate of 4 ft/sec. How fast is the length of her shadow changing?
  
• Question #1fcac