Answers edited by JMicheli

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