Answers created by Alexander

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• How do you find the limit of #(sin (2x)) / (sin (3x)) # as x approaches 0?
  
• How do you evaluate the integral #int x/(sqrt(16-x^2)dx# from 0 to 4?
  
• How do you evaluate the integral #int e^xdx# from #-oo# to 1?
  
• How do you simplify #sqrt((1-costheta)(1+costheta))#?
  
• How do you find the limit of #(n^4+6n^2)/(n^4-2n+3)# as n approaches infinity?
  
• How do you convert #r = -2 csc Ө# into cartesian form?
  
• What is the derivative of # f(x)=x^3-3x#?
  
• How do you find the Limit of #ln(x+1)/x # as x approaches infinity?
  
• What is a solution to the differential equation #dy/dx=(3y)/(2+x)#?
  
• What is a solution to the differential equation #dy/dx=(x+1)/x#?
  
• What is a general solution to the differential equation #dy/dx=10-2y#?
  
• How do you solve # lnx-ln(1/x)=2#?
  
• What is a general solution to the differential equation #y'=sqrtxe^(4y)#?
  
• What is the limit of #x/e^x# as x approaches infinity?
  
• What is a general solution to the differential equation #dy/dx=xe^-y#?
  
• How do you prove #cos2t=(1-tan^2 t)/(1+tan^2 t)#?
  
• How do you evaluate #(sin(2h)(1 - cos h)) / h# as h approaches 0?
  
• How can I find the limit of #(sqrt(16-x)-4)/(x)# as it approaches to 0?
  
• How do you find the limit of # (x/(x-3))# as x approaches #oo#?
  
• How do you integrate #int (3-4x)^8# using substitution?
  
• What is #lim x->∞# of #(7x+1)/(11x-6)#?
  
• How do you integrate #int5xsqrt(2x+3)# using substitution?
  
• How do you simplify #1 - (2sinx)^2 + (sinx)^4#?
  
• How do you simplify #(5+9cosx) / (sinx) + (9sinx) / (1+cosx)#?
  
• How do you prove #(1 + cot²θ) / secθ = cscθcotθ#?
  
• How do you expand #ln (e^3/(xy))#?
  
• How do you simplify #y = 4(x + 5) - 2(x + 1)(x + 1)#?
  
• How do you find the limit of #(arctan(x)) / (5x)# as x approaches 0?
  
• How do you differentiate #f(x)=cos3x^(1/3)# using the chain rule?
  
• How do you solve #ln(x+4)=ln7#?
  
• How do you solve #6/14=5/n#?
  
• How do you find the Maclaurin series for #1/(2-3x)#?
  
• How do you evaluate the integral #int 1/sqrt(x-1)dx# from 5 to #oo#?
  
• What is a solution to the differential equation #dy/dx=e^-x/y#?
  
• How do you solve #9x^2 = 27x#?
  
• How do you graph the equation #r = 1 + cos( theta )#?
  
• How do you use the limit definition to find the derivative of #f(x)=1/x^2#?
  
• How do you find the derivative of #tanx/sinx#?
  
• How do you convert #r=-3sectheta# into rectangular equations?
  
• How do you find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f at a f(x) = cos(x), a= pi/4?
  
• How do you solve #2^(x/17) = 0.8#?
  
• How do you integrate #int tan 3x+sec3x dx#?
  
• How do you simplify #secxtan^2x+secx#?
  
• How do you find the angle between the vectors #u=2i-3j# and #v=4i+3j#?
  
• How do you find the angle between the vectors #u=5i+5j# and #v=-8i+8j#?
  
• How do you find the Maclaurin series for #ln(2-3x) #?
  
• How do you find the limit of # sin(7x)/x# as x approaches 0?
  
• How do you use the limit definition of the derivative to find the derivative of #f(x)=2/x#?
  
• How do you find the maclaurin series expansion of #ln((1+x)/(1-x))#?
  
• How do you solve #lnx+ln(x+3)=1#?
  
• How do you find the Maclaurin Series for #f(x) = e^(3x)#?
  
• How do you convert #r=6sectheta# into cartesian form?
  
• How do you simplify #e^-2*e^6#?
  
• What is the square root of 90 simplified in radical form?
  
• How do you solve #ln2-ln(3x+2)=1#?
  
• How do you simplify #(x/9 - 1/x) / (1+ 3/x) #?
  
• What is the integral of #int (tan x)^6dx#?
  
• How do you find the derivative of # (ln x) ^ cos x#?
  
• How do you find the antiderivative of #((cosx)^2)*(sinx)#?
  
• How to find instantaneous rate of change for #f(x) = ln(x) # when x=0?
  
• How do you differentiate # Sin ^ 3 x#?
  
• How do you verify #csc (-x) / sec ( - x) =- cot x#?
  
• How do you factor #2x^2 - 40x#?
  
• How do you find the Maclaurin series for #x^3cos(x^2)#?
  
• How do you find the Maclaurin Series for #sin(x^2)/x#?
  
• How do you integrate #e^(tanx) * sec^2(x) dx#?
  
• How do you solve #x^2 = 4x + 12#?
  
• 24 is 30% of what number?
  
• How do you solve the equation by completing the square: #x^2 + 2x - 8 = 0#?
  
• How do you solve for x in #Lnx^2=4#?
  
• Question #e0e1e
  
• How do you differentiate # (cos x)^(sin x)#?
  
• What is the period of the function #y = cos 4x#?
  
• How do you solve #ln(4x+1)=ln(2x+5)#?
  
• How do you solve #x^2-2x=5# by completing the square?
  
• What is the derivative of #x^e#?
  
• How do you evaluate the integral #int 1/sqrtxdx# from 0 to 1?
  
• How do you simplify #ln(e/6)#?
  
• What is the integral of #int tan^5(x)#?
  
• How do you differentiate #ln(3x)#?
  
• What is the equation of the line tangent to #f(x)=x^3# at #x=2#?
  
• How do you prove #Sec(x) - cos(x) = sin(x) * tan(x)#?
  
• How do you evaluate # (x-7)/(x^2-49)# as x approaches 7?
  
• How do you solve #4x^2-8 = 56#?
  
• How do you find the derivative of #x ln (x) - x#?
  
• How do you find the antiderivative of #sin^2(x)cosx#?
  
• How do you solve #x + y =1# and #2x-y=-2# using substitution?
  
• How do you evaluate the integral #int x^2lnx dx# from 0 to 1 if it converges?
  
• How do you simplify #(3pi)/2 +pi/4#?
  
• How do you solve #7/9=b/(b-10)#?
  
• How do you differentiate #y=x^(1/lnx)#?
  
• What is the antiderivative of #ln(x)/x#?
  
• How do you find the exact value of #sec(pi/4)# using the half angle formula?
  
• How do you solve #10^(2x)+3=8#?
  
• How do you find the horizontal asymptote for #(x-3)/(x-2)#?
  
• What is the slope of #r=sintheta# at #theta=pi#?
  
• How do you find the definite integral for: #2 / (4+x^2) dx# for the intervals #[0, 2]#?
  
• How do you find the exact value of # tan ( (3pi)/4)#?
  
• How do you solve #y=2x+7# and #y=5x+4# using substitution?
  
• How do you multiply #-(12-4x)+8(10-x)#?
  
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