Answers created by Sonnhard

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• How do I factor the problem completely?(6ax²-9x)
  
• How do you solve #log(x-1) - log2 = 12 + log3x #?
  
• How do you find the critical numbers for #g(t) = t sqrt(4-t) # to determine the maximum and minimum?
  
• What is the equation of the line normal to # f(x)=-sqrt((x+1)(x+3)# at # x=0#?
  
• What is the derivative of #sec^-3(x)#?
  
• How do you solve for x in # 7/(x-2) + 3/(x+2) = -x/(x^2-4 )#?
  
• What is the derivative of #y = xsinh^-1(x/3)-(sqrt(9+x^2))#?
  
• What is the slope of the line normal to the tangent line of #f(x) = xcotx-sin^2(x-pi) # at # x= (pi)/12 #?
  
• What is y’ ? y= tan(sin x) + 1/3.412
  
• How do you use the quotient rule to differentiate #y=(2x^4-3x)/(4x-1)#?
  
• What is the derivative of #y = ln(t^2 + 4) - 1/2 arctan(t/2)#?
  
• Is #f(x)= cot(-x+(5pi)/6) # increasing or decreasing at #x=pi/4 #?
  
• What is the integral of #e^(0.5x)#?
  
• How do you solve #(2x ^ { 2} + 3x - 5) + ( x ^ { 2} + 11x - 1) = 180#?
  
• What is the Cartesian form of #r^2-2r = -theta+tan(theta)- cos^2(theta) #?
  
• Find dy/dx by implicit differentiation for #sqrt(5x + y)= 3 + x^2y^2# ?
  
• How do you solve #(x^2+3)(x^2+3x-4)^3(x-1)^3 > 0#?
  
• How do I evaluate #sqrt(x+10)=1/sqrt(x)+10# to find its real solution(s)?
  
• How do you find the ordered pair that is a solution to the system of equations #x + y = 10# and #x - y = 8#?
  
• #f(x)=x^4# Have we critical point?
  
• In a #DeltaABC#, prove that the value of #cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)# is a prime?
  
• How do you differentiate #cos(x^2)/(e^(x^2)+1)#?
  
• What are the values and types of the critical points, if any, of #f(x)=x^4 - 8x^3 + 18x^2 - 27#?
  
• What is the derivative of #f(t) = (lnt, -3t^3+5t ) #?
  
• What is the arclength of #(t^2-t-1,9t^2-2/t)# on #t in [1,4]#?
  
• What is the slope of the equation that goes through #y+2=4(x-2)#?
  
• How to differentiate #y=(x+2)^2(3x-1)^3# , find #dy/dx# as a product of its factor ?
  
• How do you solve and write the following in interval notation: #-4<1/x<= 1 #?
  
• Solve for x on #[0,2pi)# : #(x-pi)/cos^2x < 0 # ?
  
• Prove sec x - tan x sin x = (1/sec x) ?
  
• How do you find the lengths of the curve #y=(4/5)x^(5/4)# for #0<=x<=1#?
  
• Is #f(x)=(x+3)(x-2)(x+4)# increasing or decreasing at #x=-1#?
  
• How do you find the midpoint of (2,-2) (-2,2)?
  
• How do you simplify #(a^9b^-2c^1)^-4 * ((ab) / x)^3#?
  
• How do you solve the rational equation #5/(y-2) = y+2#?
  
• How do you solve #abs(5 / (2x-1))>= abs(1 / (x - 2))#?
  
• What is the limit as x approaches 0 of #x/arctan(4x)#?
  
• How do you find the absolute extreme values of each function on the interval #y = 10 - 8x^2# on [-1,2]?
  
• How do you find the derivative of #y=( (2x^3)*(e^(sinx))*(2^(cosx)) ) / (tanx-3^x)#?
  
• How do you solve #x^2+5x+6=0# by factoring?
  
• How do you solve the system of equations #a+ 5b = 1# and #2a = - 10b + 2#?
  
• How do you find the important points to graph #y = -2/x#?
  
• How do you multiply # (2x + 6)^2#?
  
• How do you solve #1/2(x-4)-(5+x) = 0#?
  
• How do you solve the system of inequalities #3x-4y<=12# and #-2x+5y>=10#?
  
• What is the transformed linear equation for 9x+3y=21?
  
• What is the derivative of #x + cos(x+y)=0#?
  
• The number of real solutions of the equation [9/x]^x=-3+x-x^2 is?
  
• What is the #y#-intercept of #p(x)=2(x^2-4)(x-3)#?
  
• How to solve this quadratic expression by factoring? n(n +2)
  
• A triangle has sides A, B, and C. Sides A and B are of lengths #8# and #7#, respectively, and the angle between A and B is #(5pi)/12 #. What is the length of side C?
  
• How do you simplify #sqrt(49x^12y^4z^8)#?
  
• How do you simplify #sqrt(15x ^ { 8} y ^ { 3})#?
  
• How do you simplify #root4(16/81)#?
  
• What is the arclength of the polar curve #f(theta) = -3sin(theta)-2sec^2theta # over #theta in [0,pi/8] #?
  
• Calculate #1/(b^2+c^2-a^2) + 1/(c^2+a^2-b^2) + 1/(a^2+b^2-c^2)# , if a+b+c = 0 ?
  
• 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 27, what is the area of the triangle?
  
• How do you solve the system of equations #3x + 3y = - 3# and #- 2x + 2y = 6#?
  
• How do you solve and find the ordered pairs #2x + 5y =-9# & #3x -4y = -2#?
  
• What are the critical values of #f(x)=3x^2+2x+5#?
  
• What is the arclength of the polar curve #f(theta) = 2cos(9theta)-3sintheta # over #theta in [0,pi/3] #?
  
• Can square root of 10 be simplified?
  
• How do you solve #\frac { 1} { 2} ( x + 10) = \frac { 3} { 4} ( x + 20)#?
  
• Is #f(x)=(2x^3-7x^2+13x-11)/(x-3)# increasing or decreasing at #x=2#?
  
• What is a solution to the differential equation #dy/dx=2x#?
  
• Determine the point of inflection and discuss the concavity of the graph of ,f(x)=x^4-4x^3?
  
• How do you Factor completely #2x^3+5x^2-37x-60#?
  
• How do you solve by substitution #x + 3y = 8# and #2x - y = 9#?
  
• How do you find the roots, real and imaginary, of #y= 2x^2 - 2x - (x-9)^2 # using the quadratic formula?
  
• How do you solve the system of equations #-3x + 2y = 19# ad #x - 6y = - 1#?
  
• How do you solve #-5( x - 3) = - 25#?
  
• What is the arclength of #f(x)=x^2e^(1/x)# on #x in [1,2]#?
  
• Integrate using trigo substitution #int dx/(sqrt(x^2-4x))^3# ?
  
• How do you differentiate #g(x) = (2 -e^x) ( 2x-x^2)# using the product rule?
  
• How do you find the equation of the line tangent to the graph of #f(x) =10/(5x + 9#), when x =1/5?
  
• How do you solve #5y^2=30y#?
  
• What are the asymptotes of (x^2+4)/(6x-5x^2)?
  
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