Answers edited by JMicheli

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• How can you find the taylor expansion of `sqrt (x)` about x=1?
  
• What is the derivative of this function `f(x) = sin (1/x^2)`?
  
• What is `int(cos(x))^4 dx`?
  
• How do you write the definite integral to find the smaller area cut from the circle `x^2 + y^2 = 25` by the line x = 3?
  
• By how much does `y = 3(x-2)` translate the line `y=3x` horizontally?
  
• What is the domain and range of `y = cos|x|`?
  
• What is the equation of the line tangent to `f(x)=y=e^x sin^2x` at `x=sqrtpi`?
  
• For what values of x is `f(x) = -sqrt(x^3-9x` concave or convex?
  
• What is the relationship between patriarchy and sexism?
  
• How do you calculate `sin^-1(sin2)`?
  
• What happens when two sound waves meet in constructive interference?
  
• How do you find the inverse of `A=``((2, 4, 1),(-1, 1, -1), (1, 4, 0))`?
  
• Mars has an average surface temperature of about 200K. Pluto has an average surface temperature of about 40K. Which planet emits more energy per square meter of surface area per second? By a factor of how much?
  
• Question #743f2
  
• How do you solve `9x-5y=-44` and `4x-3y=-18` using matrices?
  
• UV light is responsible for sun tanning. How do you find the wavelength (in nm) of an ultraviolet photon whose energy is `6.4 x 10^-19`?
  
• How do you calculate the fourth derivative of `f(x)=2x^4+3sin2x+(2x+1)^4`?
  
• A box with an initial speed of `4 m/s` is moving up a ramp. The ramp has a kinetic friction coefficient of `7/4` and an incline of `(2 pi )/3`. How far along the ramp will the box go?
  
• What is the equation of the line normal to `f(x)=2x^2-x+5` at `x=-2`?
  
• How do you solve `x^2-1=80`?