Answers created by Καδήρ Κ.

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• What is the interval of convergence of #\sum_{n=0}^{oo} (\frac{1}{x(1-x)})^n#?
  
• How do you integrate by substitution #int (t+2t^2)/sqrtt dt#?
  
• Given #f(x)=3x^2+2, g(x)=4x, h(x)=7x-1#, how do you determine the combined function of #y=f(x)+g(x)-h(x)#?
  
• How do you find the limit of #|3-2x|# as x approaches 3?
  
• Question #51d9b
  
• Question #e175b
  
• How do you solve #4( x ^ { 2} - 1) < 4x - 1#?
  
• How do you solve #\frac { a - 5} { 2} = 3#?
  
• How to find the asymptotes of #y = 1/2 sec ( x - pi/6)#?
  
• Who received the Nobel Prize in physics in 1903?
  
• What is the range of the function #2 / x^2#?
  
• What are the components of the vector between the origin and the polar coordinate #(10, pi/4)#?
  
• If a rocket with a mass of 4000 tons vertically accelerates at a rate of # 9/5 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 11 seconds?
  
• What is the slope of the line normal to the tangent line of #f(x) = cosx*sin(2x-pi/6) # at # x= pi/3 #?
  
• How do you find the determinant of #|(8,9,3), (3,5,7), (-1,2,4)|#?
  
• Given #f(x)=2x^2+11x-21# and #g(x)=2x-3# how do you determine #y=f(x)-g(x)#?
  
• What happens when you apply the power rule for integration to the function f(x)=1/x?
  
• Integration by Substitution?
  
• How do you factor #3x^2+4x#?
  
• What is the vertex form of #y= (x+6)(x-23)#?
  
• How many meters away is a cliff if an echo is heard #1/2# second after you yell hello?
  
• An object with a mass of #14 kg# is acted on by two forces. The first is #F_1= < 5 N , 6 N># and the second is #F_2 = < -9 N, 4 N>#. What is the object's rate and direction of acceleration?
  
• A model train with a mass of #3 kg# is moving along a track at #8 (cm)/s#. If the curvature of the track changes from a radius of #12 cm# to #18 cm#, by how much must the centripetal force applied by the tracks change?
  
• How do you find f'(x) using the limit definition given #f(x) = (x^2-1) / (2x-3)#?
  
• Question #70eda
  
• How do you simplify #(- 6x ) ^ { 2} ( - 54x ^ { 2} ) \div ( 3x ) ^ { 4}#?
  
• What is the surface area of the solid created by revolving #f(x) =2x^3-2x , x in [2,4]# around the x axis?
  
• How do you find the inverse of #[(9,13), (27,36)]#?
  
• How do you use synthetic division to #f(x)=x^5-x^4+x^3-x+5#; find f(1+i)?
  
• Peter has twice as much as Meg. Meg has $4 more than Stevie. Together they have a total of $48. How much does Meg have?
  
• How do you write the first five terms of the arithmetic sequence given #a_1=-2.6, d=-0.4#?
  
• How do you factor #x^5-y^5#?
  
• How do you divide #\frac { 2x ^ { 3} - x ^ { 2} - 2x + 1} { x - 1}#?
  
• How do you divide #\frac { 3v ^ { 3} + 12v ^ { 2} + 10v - 6} { v + 2}#?
  
• How do you find vertical, horizontal and oblique asymptotes for #f(x) =(x-1)/(x-x^3)#?
  
• How do you rewrite #5^(-3/4)#? as a radical?
  
• How do you differentiate #f(x) = (x^2-4x)/(xcotx+1)# using the quotient rule?
  
• How do you solve #\frac { x + 1} { x - 1} + \frac { 2} { x } = \frac { x } { x + 1}#?
  
• How do you simplify #(-6+5i)(7-5i)(6+6i)#?
  
• How do you use polynomial synthetic division to divide #(x^3+8)div(x+2)# and write the polynomial in the form #p(x)=d(x)q(x)+r(x)#?
  
• Question #2a2ef
  
• Question #e2770
  
• Question #fffc6
  
• How do you convert #y=(x-2y)^2-2x^2y -2y^2 # into a polar equation?
  
• What is the tension in an elevator cable which must support a 4000 N elevator with maximum upward acceleration of 2.0 g's. What would be the tension if the elevator were allowed to accelerate downward at 0.25 g's?
  
• How do you find #(d^2y)/(dx^2)# for #2x-5y^2=3#?
  
• How do you differentiate #y=2^(sinpix)#?
  
• Question #0d56e
  
• How do you differentiate #(y-1)^2+x=0#?
  
• What is the net area between #f(x) = -sqrt(x+1) # and the x-axis over #x in [1, 4 ]#?
  
• How do you solve #4x + 3x + 2x + 1= 19#?
  
• Question #12e32
  
• How do you find the domain and range of #f(x)=x+7#?
  
• Question #8a320
  
• Question #03a5b
  
• How do you find the domain of #f(x)=ln(e^(x-3))#?
  
• What is the domain and range of the function #y=sqrt(x-4)#?
  
• How do you solve using gaussian elimination or gauss-jordan elimination, #2x + y - z = -2#, #x + 3y + 2z = 4#, #3x + 3y - 3z = -10#?
  
• How do you determine whether a function is odd, even, or neither: #h(x)= -x^3/(3x^2-9)#?
  
• Question #d5c11
  
• Question #849ec
  
• How do you use the Binomial Theorem to expand #(d-5)^6#?
  
• How do you divide #(2x^3+3x^2-8x+3)div(x+3)#?
  
• How do you find the sum of the infinite geometric series given #5/3-10/9+20/27-...#?
  
• What is the standard form of the equation #y=(x+3)^2+53#?
  
• How do you solve #2| 5- \frac { 7} { 3} x | + 7= 11#?
  
• How do you divide #\frac { ( 2x ^ { 2} y ^ { - 2} ) ^ { 5} } { 16x ^ { 5} y ^ { - 2} }#?
  
• How do you solve #20^(9-4n)=5#?
  
• How do you condense #log 2 ln 8 +5 ln z#?
  
• How do you write a rule for the nth term of the arithmetic sequence given #a_20=240, a_15=170#?
  
• How do you subtract #\frac { 2x ^ { 2} + 7x + 3} { 2x ^ { 2} - 5x - 3} - \frac { ( x - 4) ^ { 3} - 1} { x ^ { 2} - 2x - 15}#?
  
• How do you graph #r=2sin4theta#?
  
• What are the asymptote(s) and hole(s), if any, of # f(x) = lnx/x#?
  
• How do you find the values of all six trigonometric functions of a right triangle ABC where C is the right angle, given a=5, b=12, c=13?
  
• How do you find the domain and range of #y=4x+2#?
  
• How do you find the amplitude and period of #y=5sin(2/3theta)#?
  
• Question #52d88
  
• An object with a mass of #2 kg# is revolving around a point at a distance of #7 m#. If the object is making revolutions at a frequency of #1 Hz#, what is the centripetal force acting on the object?
  
• Question #a6ad5
  
• How do you solve #64= 6( 6- m ) - m#?
  
• A cylinder has inner and outer radii of #2 cm# and #4 cm#, respectively, and a mass of #1 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #6 Hz# to #2 Hz#, by how much does its angular momentum change?
  
• Question #51e70
  
• How do you solve #\frac { 2} { 5} x + \frac { 6} { 5} = \frac { 1} { 4} x - 1#?
  
• What torque would have to be applied to a rod with a length of #8 m# and a mass of #8 kg# to change its horizontal spin by a frequency #2 Hz# over #5 s#?
  
• How do you integrate #int (3x^2 + 10x -5)/ ( (x+1)^2(x-2) )# using partial fractions?
  
• Question #7d366
  
• What is the value of the expression #|a^2-2ac+5c|# when #a=-3, b=2#, and #c=-4#?
  
• Question #5f39e
  
• What is the derivative of #xcos(y) +ycos(x) = 1#?
  
• Question #36999
  
• If a #5 kg# object moving at #15 m/s# slows to a halt after moving #12 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
  
• How do you differentiate #f(x)=3sqrt(tan4x^2)# using the chain rule?
  
• What are the exact values of #cos((3pi)/4)# radians and #sin((3pi)/4)# radians?
  
• What is the moment of inertia of a pendulum with a mass of #4 kg# that is #5 m# from the pivot?
  
• How do you solve #9x+9y=27# and #-9x+y=43# using substitution?
  
• How do you write the given equation #(x-3)^2+y^2=9# into polar form?
  
• How do you factor #5x^3 - 40#?
  
• Question #41dd2
  
• Question #4d765
  
• Question #d6fd9
  
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