Answers created by Equivirial

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• How do you solve #2/(x+1) - 3/(x+3) = 0#?
  
• An object has a mass of #3 kg#. The object's kinetic energy uniformly changes from #75 KJ# to #135 KJ# over #t in [0, 9 s]#. What is the average speed of the object?
  
• How do you prove #cos^-1 x + tan^-1 x = pi/2#?
  
• How do you convert 5.79 (79 repeating) to a fraction?
  
• A solid disk, spinning counter-clockwise, has a mass of #8 kg# and a radius of #5/2 m#. If a point on the edge of the disk is moving at #5/8 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
  
• How do you determine if #f(x) = x^2 - x^8# is an even or odd function?
  
• An object with a mass of #125 g# is dropped into #750 mL# of water at #0^@C#. If the object cools by #40 ^@C# and the water warms by #3 ^@C#, what is the specific heat of the material that the object is made of?
  
• The kinetic energy of an object with a mass of #5 kg# constantly changes from #72 J# to #480 J# over #12 s#. What is the impulse on the object at #2 s#?
  
• How do you solve #14^(x+1) = 36#?
  
• Question #657d6
  
• What produces pulses of light in lasers?
  
• How is scattering of light related to the wavelength of light and the size of a particle which scatters it, both qualitatively and quantitatively?
  
• Question #14120
  
• How does energy relate to wavelength and frequency?
  
• How do you solve #ln x + ln (x+6) = 1/2 ln 9#?
  
• What is the derivative of # 5^x#?
  
• Question #8dd37
  
• Question #c8269
  
• How do you find the integral of #(cosx)(coshx) dx#?
  
• How do you differentiate #y=x^cosx#?
  
• How do you find the Maclaurin series of the function #f(x)=5cos(10x^2)#?
  
• How do you find the derivative of #tan(x+y)=x#?
  
• How do you find the integral from 0 to 2 of #xe^(2x) dx#?
  
• What is the integral of #dy/e^y#?
  
• What is the derivative of #arcsin sqrt(2x)#?
  
• How do you find the value for #sec^-1( 2/ sqrt3)#?
  
• How do you integrate #intx cos 2x dx#?
  
• Question #79f2b
  
• How do you find the Maclaurin series of #f(x)=e^(-2x)# ?
  
• The surface temperature of Arcturus is about half as hot as the Sun’s, but Arcturus is about 100 times more luminous than the Sun. What is its radius, compared to the Sun’s?
  
• How do you change #(-3pi)/2# radians to degree measure?
  
• How do you prove # (cosA - cotA) / ( 1 - sinA) = - cotA#?
  
• How do you use definition of derivatives to solve the derivative of #f(x)=–2(sin(x)^5)#?
  
• How do you find the limit of #(x^2-3x+2)/(x^3-4x)# as x approaches 2 from the right, as x approaches -2 from the right, as x approaches 0 from the left, and as x approaches 1 from the right?
  
• How do you find the derivative of #arccos ([2x + 1]/2)#?
  
• A cylinder is inscribed in a right circular cone of height 6 and radius (at the base) equal to 5. What are the dimensions of such a cylinder which has maximum volume?
  
• How do you solve #4tanx + sin2x = 0#?
  
• How do you evaluate the integral of #[ (e^7x) / ((e^14x)+9) dx ]#?
  
• How do you calculate the change in momentum of an object?