Answers edited by JMicheli

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