Answers edited by JMicheli

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• By how much does #y = 3(x-2)# translate the line #y=3x# horizontally?
  
• For what values of x is # f(x) = -sqrt(x^3-9x # concave or convex?
  
• How do you calculate #sin^-1(sin2)#?
  
• 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?
  
• What is the derivative of this function #f(x) = sin (1/x^2)#?
  
• 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#?
  
• What is the relationship between patriarchy and sexism?
  
• 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?
  
• What happens when two sound waves meet in constructive interference?
  
• How do you solve #9x-5y=-44# and #4x-3y=-18# using matrices?
  
• How can you find the taylor expansion of #sqrt (x) # about x=1?
  
• What is the domain and range of #y = cos|x|#?
  
• What is #int(cos(x))^4 dx#?
  
• How do you solve #x^2-1=80#?
  
• What is the equation of the line tangent to #f(x)=y=e^x sin^2x# at #x=sqrtpi#?
  
• What is the equation of the line normal to #f(x)=2x^2-x+5 # at #x=-2#?
  
• How do you calculate the fourth derivative of #f(x)=2x^4+3sin2x+(2x+1)^4#?
  
• Question #743f2
  
• How do you find the inverse of #A=##((2, 4, 1),(-1, 1, -1), (1, 4, 0))#?
  
• 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?