Answers created by Rhys

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• How do you find the standard form given `x^2+y^2-6x+4y+14=0`?
  
• `1+2*2!+3*3!+ ... + n*(n!)=`?
  
• How do you solve `u^4 = 1`?
  
• What is the integral of `int (1/(x^2+x+1)) dx`?
  
• How to find the fractional notation for the given infinite sum below? `0.bar4` = `4/10` + `4/100` + `4/1000` + `4/10000` +.....
  
• Who's interested in a new Socratic on a different website?
  
• What is meant by the determinant of a matrix?
  
• Given the vectors `u=<2,2>`, `v=<-3,4>`, and `w=<1,-2>`, how do you find `u*u`?
  
• How do you verify `(cot theta - tan theta)/(cot theta + tan theta) = cos 2 theta`?
  
• How do you solve `\sqrt { 125} = 5^ { x }`?
  
• I roll a 6sided dice twice. What the propability to get the same number twice?
  
• How do you solve `x/(x-2)-1/(x-3)=(1)`?
  
• Is `(1,5)` a solution to the system of equations `y=x+10` and `y=3x+2`?
  
• Can you help me with this logarithms equation for my test? ASAP
  
• Write the sum in sigma notation 72 + 61 + 50 + 39 +...+ -104 ??
  
• How do you find fifth roots of `1`?
  
• What is the area under the curve in the interval [0, 3] for the function `y=x^2+1`?
  
• How do you solve the equation `x^2-4.7x=-2.8` by completing the square?
  
• How do I find the vertical asymptotes of `f(x)=tan2x`?
  
• How do you find the inverse of `f(x)=log[x+1]`?
  
• 4 cards selected randomly from pack of 52 cards find the probability of selecting at most one heart card?
  
• How do you simplify `8/sqrt6`?
  
• 15% of 20 is _____? 3 30 300
  
• How do you solve this? `4^x=2^(x-1)-8`
  
• How do you solve this? `4^x=2^(x-1)-8`
  
• How do you find the stationary points of a function?
  
• How do you solve `x/2 + 3 = 3`?
  
• How do you graph the function `f(x) = 2x`?
  
• How do you solve `\frac { 3} { 4} + \frac { 5} { x - 6} = \frac { 29} { 12}`?
  
• What is `((pi)/10)` in degrees?
  
• How do you convert polar equations to Cartesian equation given `r sec theta = 3`?
  
• How do you solve `(c + 1) ^ { 2} - 4( c + 1) + 3= 0`?
  
• How do you graph `\frac{k}{-14} \le 1` on a number line?
  
• If h(x)=3x+2 and h(f(x))=x then f(2)=?
  
• How do you find the equation of the tangent line `y=x-lnx` at `(e, e-1)`?
  
• How do you write a rule for the nth term of the geometric sequence given the two terms `a_2=4, a_5=256/27`?
  
• How do you find the sum of the arithmetic series of `6+12+18+...+96`?
  
• How do you find the slope and intercept of `y=3x-2`?
  
• How do you evaluate the function when x = -3, 0, and 2 for f(x) = 15x + 4?
  
• What are the first five terms of the sequence? `a_n=n^2+2`
  
• What is the slope of the line passing through the following points: `(–8, –6), (–3, 5)`?
  
• How do you integrate `int ln(e^(2x-1))dx`?
  
• A book on a shelf 2.0 meters above the floor has a mass of 1.5 kg. What is the gravitational potential energy of the book?
  
• Whate is the practical application of logarithm?
  
• How do you express `1/ [ (x-1)(x+2)(x-3)]` in partial fractions?
  
• Find the sum of arithmetic sequence Sum of integers between 6 and 30 ??
  
• How do I find the value of `sec (4pi)`?
  
• Question 3: What is the shape of the cross section taken parallel to the base of a square pyramid? Circle Rectangle Square Triangle
  
• How do you solve `- 7< 5 - 2y <= 1?`
  
• How do you solve `(2x+1)^2=x+2`?
  
• How do you solve `12x^2=48x`?
  
• What is the distance between `(2 , (5 pi)/4 )` and `(8 , (3 pi )/2 )`?
  
• What is the derivative of `y=sec^2 x + tan^2 x`?
  
• How to integrate `int 1/(1+(x+2)^2)dx` ?
  
• Is 8 a solution to `1/2x +9=13`? Why or why not?
  
• What real world example can be modeled by the expression `h+8`?
  
• How do you solve `|x ^ { 2} - 2x | = 35`?
  
• Integrate `int_1^2x\sqrt{x-1}dx` ?
  
• How do you solve `x=y+3` and `x-y^(2)=3y` using substitution?
  
• Differentiation of cos cube x?
  
• Solve for `x`? if `4=(1+x)^24`
  
• 6x^2-10x-16=0?
  
• Find the values of x and y? x+4iy=ix+y+3
  
• How do you factor completely `a^2 - 121b^2`?
  
• How do you find the first and second derivative of `(x^3-3x^2+8x+18)/x`?
  
• Given that `ab^x<k`, for some constant k>0, show that `x>log(1600/k)/log2` where log means log to any valid base.(4 marks)? Given `a = 1600` and `b = 1/2`
  
• How do you solve `10<2x-3/5?`
  
• How do you evaluate `\sin 80^ { \circ } \sec 10^ { \circ }`?
  
• Please answer calculus question, thank you! ?
  
• How do you factor `x^3-2x^2+x-2`?
  
• Compute given integral dx/x^2+2x from 6 to 8 ?
  
• How do you solve this quadratic equation `2x^2- 10+ 7=0`?
  
• How do you factor `4m(4 - m) + 3n(4 - m)`?
  
• How do you factor `2mn-n`?
  
• Find the sum of the series: `sum_{n=5}^ ∞ 6 / (n^2 - 3n)` ?
  
• How do you write the polar equation `r=3costheta` in rectangular form?
  
• What's the integral of `int (tanx/secx) dx`?
  
• Find `int_0^1f(x)dx` ?
  
• How do you factor by grouping `x^3+4x^2+8x+32`?
  
• Using `(1-cos2x)/(1+cos2x)=tan^2x`, how do you find the exact value of `tan(pi/8)`?
  
• What is the equation of the line with slope `m= 8/49` that passes through `(2/7, 1/21)`?
  
• The sum of three consecutive odd integers is 189, what are the integers?
  
• How do you find `int sec^2x/(1-sin^2x) dx`?
  
• What is the derivative of `x^2`?
  
• The function `f` is defined by `f(x)=1-x^2`, `x sub RR`. Show that `f` is NOT one-to-one. Can someone help me please?
  
• Find the value? `(Tan85^@ - Tan25^@)/(1+Tan85^@Tan25^@)`
  
• What is the limit as x approaches infinity of `e^(-x^2)`?
  
• It is question about series topic geometric series?
  
• How do you find the value of `sin2theta` given `costheta=1/3` and `0<theta<90`?
  
• How do you find the limit `lim_(h->0)(sqrt(1+h)-1)/h` ?
  
• Improper integrals ? `int_e^oo(1)/(x*(ln x)^3)dx`
  
• How do you convert 5x-8y=7 into polar form ?
  
• How do you convert `r=sin2(theta)` in rectangular form?
  
• How do you evaluate `lim_(theta->0)` `((sin2thetatan3theta)/theta^2)`?
  
• How do you find `lim_(theta->0)` `((1-cos^2 theta)/theta ^2)`?
  
• How do you multiply and simplify `\frac { 2c + 5} { c ^ { 2} + 4c + 4} \cdot \frac { c ^ { 4} + 4c ^ { 3} + 4c ^ { 2} } { 2c + 5}`?
  
• How do you factor `20au - 12av -35xu + 21xv`?
  
• How do you find the derivative of `f(x)=ln (x^2+2)`?
  
• If x + 1 upon x = 4 then find the value of x square + 1 upon x square?
  
• Differenciate sinx to the power 5?
  
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