Answers edited by Alberto P.

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• 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`?
  
• 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`?
  
• Question #084f4
  
• How do you find all points on the graph of `f(x)=sin^2x` at which the tangent line is horizontal?
  
• `7cosec theta -3 cot theta =7`,then what is the value of 7`cot theta-3 cosec theta` ?
  
• Question #f0f5a
  
• Question #9f2d8
  
• What is the net area between `f(x) = 2/(x+1)^2` and the x-axis over `x in [1, 2 ]`?
  
• Question #1fcac
  
• Question #6c76f
  
• Using the limit definition, how do you find the derivative of `f(x) = (x^2-1) / (2x-3)`?
  
• 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?
  
• What is the integral of `int ( sin^3(x))dx`?
  
• 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?
  
• How can you easily visualize the size of the universe?
  
• Question #084f4
  
• 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?
  
• Wha tis the sum of the first seven terms of the geometric series `3 + 12 + 48 + 192 + ...`?
  
• How do you integrate `int e^x/[(e^x-2)(e^(2x)+1)]dx` using partial fractions?
  
• Question #60f1a
  
• How do you graph `r=2-2costheta`?
  
• Question #93493
  
• How do you find the equation of a line tangent to the function `y=x^3+6` at (1,7)?