Answers edited by Sonnhard

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