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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