The special case of x⁴ - Page 2

Questions
  • How do you find a definite integral that represents the arc length of the curve over the indicated interval #y=x^2+x+4# for #0lexle2# ?
  • A curve has parametric equations x=2t-ln2t and y=t²-ln t² where t>0. Find the value of t at the point on the curve where dy/dx =2 . Hence ,find the coordinates of that point?
  • How do you find the area under the curve #y = 2x - x^2# from x=1 to x=2 with n=4 inscribed rectangles?
  • Find the differential of y in the function: y=(x^3-2)^2 ?
  • A rectangle has two vertices on the x axis and the other two above the x axis and on the graph of the equation y= 4-x² . Find the dimensions for which the area of such triangle is a maximum ?
  • What is #int ln (x^2+14x+24)dx#?
  • At what point on the quadratic y=#x^2#-4x-1 is the tangent parallel to the straight line y=-2x+5?
  • How to find the area under the curve y=2x+4 from x=0 to x=2 ?
  • Find the differential of y in the function: y=(x^2-4)/(x-3) ?
  • What is the absolute maximum of the function #f(x) = -x^2+4x#?
  • SKetch the graph of y=-3x^2+x-4?
  • How would I take the derivative of #x^2ln(sin4x)#?
  • If #x^2+y^2=100# and #(dy)/(dt)=4#, what is #(dx)/(dt)# when #y=6#?
  • Find the values of x for all points on the graph of f(x) = x^3-2x^2+5x-16 where the slope of tangent is 4?
  • Curve length for #x = (48 + y^4)/(24 y)# for #2 le y le 4# ?
  • how to find y' by implicit differentiation and the slope of the graph when x=5?
  • What is #\lim _ { x \rightarrow - \infty } x ^ { 4} - 4x ^ { 3}#?
  • How do you calculate #(d^2y)/(dx^2)# of #y=-4x^2+7x#?
  • Let f(x)=9x^2/4_-5x find f'(x) and f''(x)?
  • How do you simplify #\lim_{x \rightarrow - 3} ( 2x^{2} - 5x - 4)^{2}#?