Answers edited by Sonnhard

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• If `x + 1/x = 11` , then find the value of `x^4 + 1/x^4` ?
  
• What are the values of k such that 2x^2-12x+2k=0 has two solutions?
  
• Factorise the following by using suitable identities?
  
• Find the area of the region bounded by the curves?
  
• How many inches are in 6 meters?
  
• How do you find the critical points for `x^4(lnx)`?
  
• What is the derivative of `ln(x)/sin(2x)`?
  
• We have `ainRR`* and `f:RR`\`{1}->RR, f(x)=sqrt(x^2+a^2)/(x-1)`.Is this function monotone on `(0,oo)`\`{1}`?
  
• How do you find the first and second derivatives of `(3x-2)^2/(e^(2x)-5)` using the quotient rule?
  
• How can i solve this equation: 2sen^2(t)-cos(t)-1=0 ?
  
• What is the arclength of `f(x)=(x-3)-ln(x/2)` on `x in [2,3]`?
  
• How do you multiply `(2a ^ { - 2} ) ^ { 3} ( a ^ { 4} a ^ { - 5} ) ^ { 6}`?
  
• In a `DeltaABC`, prove that the value of `cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)` is a prime?
  
• If`(x,y)` is the solution of the following equations `(2x)^log2= (3y)^log3` and `3^logx = 2^logy` then x is equal to?
  
• How to solve this trig q? Help pls?
  
• Solve the inequality `-1/2<x^3/(1+x^6)`?
  
• How do you solve the system `-2x+y=8 and y=-3x-2`?
  
• How do you differentiate `g(x) = (2 -e^x) ( 2x-x^2)` using the product rule?
  
• How do you solve `15x^2=7x+2`?
  
• Solve the equation cos5x = sinx ?
  
• How do you find the first and second derivative of `ln(x^4+5x^2)^(3/2)`?
  
• How do you solve `x^3+x^2-16x-16>0`?
  
• How do you factor the expression `8y²-28y-60`?
  
• How do you solve `\frac { 3} { 5} ( 15x + 10) = - 3`?
  
• How do you express `cot^3theta-cos^2theta-tan^2theta` in terms of non-exponential trigonometric functions?
  
• How do you find all solutions of the equation in the interval `[0,2pi)` given `cos4x(cosx-1)=0`?
  
• Differentiate `\frac{e^{8u}-e^{-8u}}{e^{8u}+e^{-8u}}` ?
  
• How do solve the following linear system?: `x-7y=4 , -2x+5y=-3`?
  
• What are the points of inflection of `f(x)=1/(5x^2+3x)`?
  
• How to solve this quadratic expression by factoring? n(n +2)
  
• What is the derivative of `3x + 3lnx - 10^x(xlog_x10)`?
  
• How do you solve `2e^(12x) = 18`?
  
• How do you solve `4x^2 + 2x - 1 = 0` by completing the square?
  
• How to answer this ?
  
• How do you find the derivative of `h(theta) = csctheta +e^thetacottheta`?
  
• How do you write the partial fraction decomposition of the rational expression `(x^3 + x) /(x^2 + x + 1)^2`?
  
• How do you rationalize the denominator and simplify `6/(2sqrtx+sqrty)`?
  
• What is the `y`-intercept of `p(x)=2(x^2-4)(x-3)`?
  
• How do you solve `\sqrt { ( x - 2) ( x + 4) } - x - 2= 0`?
  
• What is the derivative of `y = ln(t^2 + 4) - 1/2 arctan(t/2)`?
  
• What are the solutions of the equation `9x^4-2x^2-7=0`?
  
• Find the exact solutions on the interval from (0,3pi) 4sin^2x+4cosx-5=0?
  
• Differentiate the following function `sqrt{secx^3` ?
  
• How do you solve `8(k+2)=1`?
  
• How do you solve `x^2+16x+24>6x`?
  
• How do you solve `(3\sqrt{15})(7\sqrt{18})?`
  
• Verify the following identities (a) tan 3x =[ tan x(3-tan²x]/(1-3tan²x)?
  
• What's the derivative of `x-1-sqrt(x/(x-1))` ?
  
• How do you solve this system of equations: `y+ 3= x and 3x + 4y = 16`?
  
• How do you determine `(d^2y)/(dx^2)` given `x-y=(x+y)^2`?
  
• How do you differentiate ln(cosh(ln(x) cos x)) and simplify?
  
• How do you add `(1.67xx10^6)` and `(8.5 xx10^3)`?