Answers created by anton

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• How do you integrate #int (x+5)/((x+3)(x-2)(x-5)) # using partial fractions?
  
• A parallelogram has sides with lengths of #14 # and #15 #. If the parallelogram's area is #84 #, what is the length of its longest diagonal?
  
• What is the kinetic energy of an object with a mass of # 15 kg# that has been in freefall for # 9 s#?
  
• What are the points of inflection, if any, of #f(x)=2x^3 -10x^2 +3 #?
  
• What is 75.2% of 130?
  
• How do you find the second derivative of # ln(x^2+5x)# ?
  
• What is the equation of the normal line of #f(x)= tan(2x)/cotx# at #x = pi/8#?
  
• How do you solve #\frac{y}{- 3} + 17> 12#?
  
• How do you multiply #(9-4i)(2+9i)#?
  
• How do you solve #|2x + 1| - 8< - 1#?
  
• What is the area under #f(x)=x^3-1# in #x in[0,1] #?
  
• How do you simplify #(2x^3)/(x^-1)^3# and write it using only positive exponents?
  
• How do you solve #x^2 + y^2 = 32# and #y - x = 0#?
  
• How do you write the following quotient in standard form #3/(1-i)#?
  
• How do you evaluate the expression #tan(u+v)# given #sinu=3/5# with #pi/2<u<p# and #cosv=-5/6# with #pi<v<(3pi)/2#?
  
• What are all the possible rational zeros for #f(x)=2x^3-3x^2+1# and how do you find all zeros?
  
• If #A = <3 ,-1 ,-7 >#, #B = <5 ,8 ,-4 ># and #C=A-B#, what is the angle between A and C?
  
• How do you differentiate #1/(1+x^2)#?
  
• How do you multiply #sqrt(15xv^7)sqrt(5x^3v^7)#?
  
• How do you simplify #(4-3i)(6-6i)#?
  
• What is the equation of the line normal to # f(x)=(x^2-x)(x-2) # at # x=1#?
  
• A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #3 m#. If the train's kinetic energy changes from #15 j# to #6 j#, by how much will the centripetal force applied by the tracks change by?
  
• How do you solve #-x - 4( - 7- 4x ) = 103#?
  
• How do you perform the operation in trigonometric form #(2(cos120+isin120))/(4(cos40+isin40))#?
  
• How do you find the derivative of #4x(x+x^(1/2))^(1/2)#?
  
• How do you find the axis of symmetry, and the maximum or minimum value of the function #y = x^2 + 2x – 3#?
  
• How do you simplify the expression #cotx(tanx+cotx)#?
  
• How do you simplify #(5-4i)(7-i)#?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(3pi)/4# and the angle between sides B and C is #pi/12#. If side B has a length of 4, what is the area of the triangle?
  
• How do you solve #| 6x - 9 | <= 9#?
  
• How do you differentiate #x^2 sin(1/x) - 2#?
  
• How do you find the inflection points of #f(x)=x^5-30x^3#?
  
• A parallelogram has sides with lengths of #21 # and #12 #. If the parallelogram's area is #42 #, what is the length of its longest diagonal?
  
• How do you simplify #2sqrt18 - 5sqrt50 - 2sqrt75#?
  
• How do you differentiate # f(x) = sec(x^2 + 1)-tan^2x #?