Answers edited by Massimiliano

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• How do you find the derivative of `arccos(x^2)`?
  
• How do you find the solution to the quadratic equation `2x^(2/3) + 5^(1/3) = 12`?
  
• How do you find the first five terms of the Taylor series for `f(x)=x^8+x^4+3` at `x=1`?
  
• How do you rewrite the expression `(–2x^5)^5(4x^5)^-1` with positive exponents?
  
• How do you factor `x^6 + 8`?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function `h(x) = int arctan t dt` from [2,1/x]?
  
• Suppose a force of 100 newtons is used to push an object a distance of 5 meters in 15 seconds. Find the work done and the power for this situation
  
• Question #9ef51
  
• How do you find parametric equations for the tangent line to the curve with the given parametric equations `x=7t^2-4` and `y=7t^2+4` and `z=6t+5` and (3,11,11)?
  
• How do you solve the proportion `20/25=w/130`?
  
• Why is the derivative of `ln -x = 1/x`?
  
• If you heat a uniform metal plate with a hole in it, will the hole get larger or smaller?
  
• How do you integrate `(x+1)/(x^2+2x+1)`?
  
• How do you solve `2cos x+3= sin2x` on the interval [0,2π]?
  
• How do I evaluate `int3 sin(ln(x))dx`?
  
• How do you use logarithmic differentiation to find the derivative of the function `y=x^x`?
  
• How do I find the derivative of the function `y=ln (sqrt(x^2-9))`?
  
• How do you know `{-1,1,-1,1,-1,1,...}` converges or diverges?
  
• How do you find a formula for the sequence -2, 1, 6, 13, 22..?
  
• How do you find the exact value for `sin105` using the half‐angle identity?
  
• What is the last digit in the number `7^(7^(7^(7^(7^(7^7)))))` ?
  
• What is the domain of the function `f(x)=(x+9)/(x-3)`?
  
• How do you find the exact value for `cos165` using the half‐angle identity?
  
• Question #fb773
  
• How do you rationalize the denominator and simplify `(sqrt (77))/ (sqrt (35))`?
  
• Question #e2f59
  
• How do you find the second derivative of `y = x^4 tan x`?
  
• How do you solve `Sin x + Sin 2x + Sin 3x + Sin 4x = 0`?
  
• How do you solve `2^(x+1)=3^x`?
  
• How do you find the derivative of `tan^2(3x)`?
  
• How do I find the limit of `(xy)/sqrt (x^2+y^2)`?
  
• How do you find the integral of `1/sqrt(1-4x^2)dx`?
  
• How do you find the derivative of `ln((4x^2)+9)` and what are the intervals for which the results are valid?
  
• How do I find the limit as `x` approaches infinity of `(1.001)^x`?
  
• How do you find the dimensions (radius r and height h) of the cone of maximum volume which can be inscribed in a sphere of radius 2?
  
• How do you graph an ellipse written in standard form?
  
• How do you find the derivative of the function `f(x)=x^2-3x` using `f(x+h)-f(x)/h`?
  
• Question #b676d
  
• How do you use part 1 of the fundamental theorem of calculus to find the derivative of `g(x)= int cos(sqrt( t))dt` 6 to x?
  
• Question #608f0
  
• How do you solve `sqrt( 9 + x) + sqrt(1+x)=sqrt(x + 16)`?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function `g(x) = int(1 / (t^3 + 1)) dt` from [1,x]?
  
• What is the antiderivative of `sec^5xtan^7x`?
  
• How do I find the additive identity matrix?
  
• How can you evaluate: `int_0^2(1/(1+x^4))dx` ?
  
• What is the derivative of `(cos x) / (1 + tan x)`?
  
• Question #9c6a4
  
• How do I find the arc length of the curve `y=ln(cos(x))` over the interval `[0,π/4]`?
  
• How do I sum the series `sum_(n=1)^oon(3/4)^n`?
  
• Question #d178e
  
• How do you give the equation of the normal line to the graph of `y=2xsqrt(x^2+8)+2` at point (0,2)?
  
• How do you find the period of `cot((10pi)/x)`?
  
• What is the formula for `(a+b)^3`?
  
• How do you find the complement and supplement of an angle if the angle is 85 degrees?
  
• How can I tell if a line is tangent to a circle?
  
• Question #1e981
  
• What is the transverse axis of a hyperbola?
  
• How do you add repeating decimals?
  
• Question #26de5
  
• How do you factor `x^2 - 27`?
  
• The perimeter of a triangle is 60 cm. and the lengths of the sides are in the ratio of 4:5:6. How do you find the length of each side?
  
• Question #a85ff
  
• How do you use the difference of two squares formula to factor `3K^2 - 75H^2`?
  
• How do you solve `sin(2theta) + sin(4theta) = 0`?
  
• How do I find the additive identity matrix?
  
• How do you factor `16x^2-25`?
  
• Question #1092f
  
• How do you solve `Tan 2x - tan x=0`?
  
• How do you integrate `inte^(cos)(t) (sin 2t) dt` between `a = 0`, `b = pi`?
  
• How do you find a formula for the nth partial sum of the series [5/1*2]+[5/2*3]+[5/3*4]+...+[5/n(n+1)]+... and use it to find the series' sum if the series converges?
  
• What is the amplitude of `f(x)=4sin(x)cos(x)`?
  
• How do you determine the measure of the central angle that is formed by an arc length of 4cm in a circle with a radius of 2.5cm?
  
• Question #b91f5
  
• How do you find the area of the parallelogram with vertices k(1,2,3), l(1,3,6), m(3,8,6), and n(3,7,3)?
  
• How do you write the rational expression `(x^3+5x^2+6x)/x^-4` in simplest form?
  
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