Answers created by AJ Speller

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• Question #4d136
  
• How do you differentiate #h(x)=(3x-2x^2)(5+4x)# using the product rule?
  
• How do you differentiate #f(x)=-cos(sqrt(1/(x^2))-x)# using the chain rule?
  
• How do you find an equation of the line tangent to the curve at the given point #x^3+y^3=36xy# given point (18,18)?
  
• How do you use the quotien rule to differentiate #(3x^2+4) / sqrt(1+x^2)#?
  
• How do you find #(dV)/dt# if #V=1/3pir^2h#?
  
• How do you use the limit definition to find the derivative of #f(x)=2/(x+4)#?
  
• How do you determine dy/dx given #y=x^2+xy#?
  
• How do you differentiate #h(t)=(t^4-1)^3(t^3+1)^-2#?
  
• How do you simplify #\frac { x ^ { 2} - 2x - 15} { x ^ { 2} - 9} \cdot \frac { x + 3} { x - 5}#?
  
• How do you solve #20 1/2 div 3/4#?
  
• How do you find the derivative of #y=sec4x#?
  
• What is the vertex form of #7y=3x^2 − 2x + 12 #?
  
• How do you solve #x^2-5x= -9# using the quadratic formula?
  
• How do you find the vertex of #f(x)=3x^2-25#?
  
• How do you determine dy/dx given #ysqrtx+xsqrty=16#?
  
• What is the axis of symmetry and vertex for the graph #y=2x^2+ 4#?
  
• An exam worth 378 points contains 66 questions. Some questions are worth 7 points, and the others are worth 4 points. How many 7 point and 4 point questions are on the test?
  
• How do you solve #-3/7x+4/7=2#?
  
• How do you differentiate #f(x)=cos(x^2-x) # using the chain rule?
  
• How do you convert the rectangular coordinate #(0,-5)# into polar coordinates?
  
• How do you convert #2/5# to a decimal?
  
• How do you differentiate #y= root3(x)#?
  
• How do you convert #(-4,pi/6)# to rectangular form?
  
• How do you implicitly differentiate #-y= 4x^3y^2+2x^2y^3-2xy^4 #?
  
• How do you solve #3x^2+5x=2# by completing the square?
  
• What is the derivative of #(sqrt(x+13)) / (x-4)(root3(2x+1))#?
  
• Six students in a class of 30 are wearing green socks. What percent of students are wearing green socks?
  
• What is the vertex form of #y= 8x^2+3x-2 #?
  
• What is the equation of the tangent line of #f(x) = (x^3 - 3x + 1)(x + 2)# at the given point of (1, -3) ?
  
• How do you find the equation of the tangent line to the curve #y= x + cos x# at (0,1)?
  
• How do you solve #-6r-1+6r=11#?
  
• How do you solve #-6n-2n=16#?
  
• How do you convert the polar equation #r=3sintheta# into rectangular form?
  
• How do you differentiate #y=(e^x(x^2-7))#?
  
• How do you find the slope of #2x-4y= -3#?
  
• How would you find the slope of the line (2, 6), and (0, 2)?
  
• How do you solve #x^2 - 4x - 7 = 0# by completing the square?
  
• How do you convert the following to a rectangular equation: #r = cos (theta) - sin (theta)#?
  
• How do you convert #3y= 2x^2-2xy-x # into a polar equation?
  
• How do you solve #-7p - 8+ 8p < 3#?
  
• What are the approximate rectangular coordinates for the point with polar coordinates #(5, 30°)#?
  
• How do you find the derivative of #(4x+1)^2(1-x)^3#?
  
• What is the equation of the line tangent to #f(x)=cosx-sinx# at #x=pi/3#?
  
• How do you solve #2sin^2x-5sinx+2=0#?
  
• How do you find the definite integral for: #xdx# for the intervals #[12, 14]#?
  
• How do you solve #3x - y = 10# and #-x + y = -4#?
  
• Is #-x+2y=0# a direct variation equation and if so what is the constant?
  
• How do you simplify #5/sqrt10#?
  
• How do you find #(dy)/(dx)# given #-4x^2y^3+2=5x^2+y^2#?
  
• How do you differentiate # f(x)=x^7csc(x)# using the product rule?
  
• How do you differentiate #f(x)=-3tan4x^2# using the chain rule?
  
• What is the derivative of # f(x)=sinx(sinx+cosx)#?
  
• For #f(x)=sin^2x# what is the equation of the tangent line at #x=(3pi)/2#?
  
• How do you differentiate #f(x)=sin(x^2 cos x) # using the chain rule?
  
• What is #int_(0)^(2) x^(3)dx #?
  
• How do you divide #(sqrt6+sqrt3)/ sqrt2#?
  
• Find the limit as x approaches infinity of #xsin(1/x)#?
  
• Question #36b8c
  
• How do you graph #y=6-1.25x#?
  
• How do you shift and graph #y=-3+sinx#?
  
• How do you graph #y=2 cos(-x)+3#?
  
• How do you know what to plug in for a, b, c in the pythagorean theorem?
  
• What is the length of b in a right triangle if #a=2# and #c=24#?
  
• How do you solve #\sin^2 x - 2 \sin x - 3 = 0# over the interval #[0,2pi]#?
  
• What is #\sin ( sin^{-1} frac{sqrt{2}}{2})#?
  
• How do you find #tan (pi/3)#?
  
• How do you convert #-450^@# into radians?
  
• How do you use the sum and difference identities to find the exact value of tan 105 degrees?
  
• How do you use the sum and difference identities to find the exact value of #cos 15^@#?
  
• How do you find the inverse of #f(x) = \frac{1}{x-5}# algebraically?
  
• What is the vertex of #f(x)=7-x^2#?
  
• What is the vertex of #f(x)=7-x^2#?
  
• What is the discriminant and how do you find it?
  
• How do you use the product rule to differentiate #y=cos(x)*sin(x)# ?
  
• How do I find the partial-fraction decomposition of #(3x^2+2x-1)/((x+5)(x^2+1))#?
  
• What is the limit of #(x^2-4)/(x-2)# as #x# approaches 2?
  
• What is the limit of #(2-sqrt(x))/(4-x)# as #x# approaches 4?
  
• What is the limit of #f(x)=4# as #x# approaches #pi#?
  
• How do you write an equation of a line in slope intercept form if the line has a slope of 2 and contains the point #(1,-2)#?
  
• How do you write the equation of a line in point slope form given the line has a slope of –6 and a y- intercept of 0.5?
  
• If my tangent line at point (4,8) has the equation #y=5x/6 - 9#, what is the equation of the normal line at the same point?
  
• How do I find the derivative of #f(x)=x^3# from first principles?
  
• How do I find the derivative of #x^2 + 7x -4# using first principles?
  
• How do I find the derivative of #x^3 - 2x^2 + x/4 +6# using first principles?
  
• How do I find derivatives of radicals like #sqrt(x)#?
  
• How do I use the remainder theorem to divide #2x^2-5x-1# by #x-3#?
  
• How do I find the domain of #y=1/x#?
  
• What is the domain of #f(x)=4#?
  
• What is the range of a linear function?
  
• What is the domain of a linear function?
  
• What does a linear function model?
  
• How do I find the x-intercept of an equation in the form #y = mx + b#?
  
• What does #y = mx + b# mean?
  
• What is the slope and y intercept of #y=x#?
  
• What is the slope of the line that is parallel to #y=-4.75#?
  
• What is the slope of a line parallel to the y-axis?
  
• What is the graph of #y=sin(x/2)#?
  
• What is the graph of #y=sin (x/3)#?
  
• What is the graph of #y=sin(x-pi/4)#?
  
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