Answers created by Mia

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• How do you find #(dy)/(dx)# given #-x^3y^2+4=5x^2+3y^3#?
  
• How do you solve #\frac { v - 8} { 1} = \frac { v + 4} { 3}#?
  
• How do you differentiate #f(x)=csc(ln(1/x)) # using the chain rule?
  
• What is the integral of #x/(1+x^2)#?
  
• How do you verify the identity #sec2theta=(cos^2theta+sin^2theta)/(cos^2theta-sin^2theta)#?
  
• How do you solve #-18= x - 14#?
  
• How do you differentiate #f(x)=arctanx*3x# using the product rule?
  
• How do you solve for h in #12h=4(2h-5)#?
  
• How do you multiply # (5-12i)(2+3i) # in trigonometric form?
  
• How do you find the antiderivative of #f(x)=x^4-5x^3+2x-6#?
  
• What is the amplitude of #y=-1/3sinx#?
  
• If #y=-5# when #x=2#, what is #y# when #x=8#?
  
• What is #x^3-2y^2-3x^3+z^4# if #x=3, y=5,# and #z=-3#?
  
• How do you solve #5sin^2x-4sinx-1=0# in the interval #0<=x<=2pi#?
  
• How do you differentiate #f(x)=sin(cos(3x))#?
  
• How do you find the center and radius for #5x^2 + 5y^2 +10x-30y+49=0#?
  
• How do you find all zeros of the function #f(x)=2(x+9)^2 (x-9)^3#?
  
• How do you differentiate #f(x)=(1+cos3x)^2#?
  
• How do you find the average rate of change of # f(x)=x^2-2x# from 1 to 5?
  
• How do you solve #2ln3x+1=5#?
  
• How do you solve #\frac { x - 11} { 6} = - 1#?
  
• How do you solve #36^(2p)=216^(p-1)#?
  
• How do you solve #49^x=7^(x^2-15)#?
  
• How do you find the antiderivative of #e^-x#?
  
• What are the points of inflection of #f(x)= x^3 - 12x^2 + 2x + 15x #?
  
• How do you find the derivative of #y=ln(1-2x)^3#?
  
• How do you find the limit of #cosx/cotx# as #x->pi/2#?
  
• How do you write an equation of a line with point (-1,4) and slope -1?
  
• How do you write the expression for -2 times the quantity q minus 3?
  
• How do you solve #log_3(a+3)+log_3(a-3)=log_3 16#?
  
• How do you evaluate the definite integral #int 4secthetatantheta # from #[-pi/3, pi/3]#?
  
• How do you find the inverse of #f(x) = ln(5x)#?
  
• How do you solve #x( x - 1) ( x + 1) = 0#?
  
• How do you solve #-3( y + 1) + 7y = 4( y + 1) - 7#?
  
• How do you solve #-5( x + 3) = 3x + 25#?
  
• How do you solve #x( x - 3) ( x + 2) = 0#?
  
• How do you solve the system of equations #16x - 5y = - 33# and #16x + y = - 51#?
  
• How do you convert #(6, 2pi)# into cartesian form?
  
• How do you find the derivative of #f(x) = 5+ 3x + 6x^2+ 7x^3#?
  
• How do you differentiate #f(x) = (tan(x^2)) (sec sqrt(x))#?
  
• How do you evaluate the limit #abs(x^2-9)/abs(x-3)# as x approaches #3#?
  
• How do you find the antiderivative of #(sinx)^3#?
  
• How do you find the limit of #(x-5)/(x^2-25)# as #x->5^-#?
  
• How do you solve #sin2xsinx-cosx=0#?
  
• How do you simplify #2 1/10+(1 2/7+ 4 9/10)#?
  
• How do you simplify #(x+8)/2+x/2#?
  
• How do you find the vertical, horizontal or slant asymptotes for #y=(2x)/(x-3)#?
  
• How do you solve #(x-2)(x-5)=0#?
  
• How do you solve the system of equations #10x - 9y = - 3# and #- 2x + 3y = 9#?
  
• How do you simplify #-(4y-x)-2(2x-5y)#?
  
• How do you integrate #int xe^(-x^2)dx# from #[0,1]#?
  
• How do you use implicit differentiation to find dy/dx given #xy^2+x^2y=x#?
  
• How do you simplify the expression #sin^2tcottcsct#?
  
• How do you find the x intercept for #3y=2x+6#?
  
• Kevin's savings account balance changed from $1140 in January to $1450 in April. How do you find the average rate of change in dollars per month?
  
• How do you find the derivative of #sqrt(5-3x)#?
  
• How do you factor #x^5+5x^4+6x^3#?
  
• How do you find the instantaneous slope of #y=1/x# at x=4?
  
• How do you verify #1-cos^2x=tan^2(-x)cos^2x#?
  
• How do you find vertical, horizontal and oblique asymptotes for #f(x) = (x)/( 4x^2+7x-2)#?
  
• How do you find the limit of #(u^4-1)/(u^3+5u^2-6u)# as #u->1#?
  
• What is the derivative of #sec^2 x - cos x #?
  
• How do you differentiate #f(x) = sqrt(sin(4x) # using the chain rule?
  
• How do you integrate #int (e^(2x)+2e^x+1)/(e^x)dx#?
  
• How do you differentiate #cos^2(x^3)#?
  
• What is the next item in the sequence #1, 4, 16, 64 ,256#?
  
• How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)= (x-4)/(x^2-8x+16)#?
  
• How do you differentiate #y=37-sec^3(2x)#?
  
• What is the Cartesian form of #(12,(12pi)/3))#?
  
• Given #-2x^2+16x-26# how do you use the quadratic formula to find the zeros of f(x)?
  
• How do you use implicit differentiation to find dy/dx given #xsiny+x^2cosy=1#?
  
• How do you find #(d^2y)/(dx^2)# given #2x^2-3y^2=4#?
  
• How do you evaluate # e^( ( 11 pi)/6 i) - e^( ( 17 pi)/12 i)# using trigonometric functions?
  
• How do you find the first and second derivative of #ln((x^2)(e^x))#?
  
• What is the equation of the line that goes through #(2,3)# and is parallel to #y=x+3#?
  
• How do you find #(dy)/(dx)# given #xe^siny=e^y#?
  
• How do you solve #27x^3-1=0# by factoring?
  
• How do you write an equation of the line parallel to #x+2y=6 through (8,3)?
  
• How do you simplify #(3r^7)/(2r^2)^4#?
  
• What is the slope of the line through (3, 6) and (4, 2)?
  
• How do you solve #\frac { 1} { 2} ( 4x - 2) = 8x + 1#?
  
• What is the equation of the normal line of #f(x)=x^2# at #x=-5#?
  
• How do you find all local maximum and minimum points given #y=x^4-2x^2+3#?
  
• How do you find the derivative of #(sec x)# using the limit definition?
  
• How do you evaluate # e^( ( pi)/2 i) - e^( ( 5 pi)/3 i)# using trigonometric functions?
  
• How do you verify #sin^2(-x)=tan^2x/(tan^2x+1)#?
  
• How do you solve #\frac { x - 3} { 2x - 4} = \frac { x } { x - 2} + 2#?
  
• What is the value of #k# in the equation #6x^2-11x-10=(3x+2)(2x-k)#?
  
• How do you differentiate #y=(x^2-2sqrtx)/x#?
  
• Evaluate the following?
  
• If the perimeter of a rectangle is #5x^2+2xy-7y^2+16#, and the length is #-2x^2+6xy-y^2+15#, what is the width?
  
• How do you find the derivative of #f(x)=4/sqrtx# using the limit process?
  
• How do you solve #x^2-2x-4=0# by factoring?
  
• How do you solve #-1+ \sqrt { y - 10} = 4#?
  
• What is the slope of #f(x)=(x+2)/e^(x-x^2) # at #x=-1#?
  
• If #h(x)=sqrt(4+3f(x))# where f(1)=7 and f'(1)=4, how do you find h'(1)?
  
• What is #int x^2sin(x-1) dx#?
  
• How do you find the first and second derivative of # lnx^2/x#?
  
• How do you use the limit definition to find the derivative of #f(x)=x/(x^2-1)#?
  
• How do you find at equation of the tangent line to the graph #y=4+cotx-2cscx# at x=pi/2?
  
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