Answers edited by Bdub

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• How do you use the definition of continuity and the properties of limits to show the function is continuous `F(x)= (x^2-8)^8` on the interval (-inf, inf)?
  
• How do you solve `log(x-3)+log x=1`?
  
• How do you find `(d^2y)/(dx^2)` for `5=4x^3-4y^2`?
  
• How do you verify `cos^2 2A = (1+cos4A)/2`?
  
• How do you integrate `int sqrt(3(1-x^2))dx` using trigonometric substitution?
  
• How do you solve `cos 2x + 3 sinx - 2= 0`?
  
• Question #954f6
  
• Question #ffd93
  
• How do you use the definition of continuity and the properties of limits to show the function is continuous `F(x)= x+sqrt(x-1)` on the interval [1, inf)?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `a=8, b=10, mangleA=20`?
  
• How do you solve `cos2x=[sqrt(2)/2]` over the interval 0 to 2pi?
  
• How do you perform multiplication and use the fundamental identities to simplify `(2cscx+2)(2cscx-2)`?
  
• How do you find the average rate of change of `f(x)= 3x^2 - 2x` from 1 to 2?
  
• How do you verify the identity `3sec^2thetatan^2theta+1=sec^6theta-tan^6theta`?
  
• How do you evaluate the expression `cos(u-v)` given `sinu=3/5` with `pi/2<u<p` and `cosv=-5/6` with `pi<v<(3pi)/2`?
  
• How do you prove `1/(1+sin(theta)) + 1/(1-sin(theta)) = 2sec^2(theta)`?
  
• How do you prove `sec^2x / tanx = secxcscx`?
  
• How do you evaluate `sec^-1(sec((19pi)/10))`?
  
• How do you solve `log_5 2x − 5 = −4`?
  
• How do you find the polar coordinate of the following point (-3, -2)?
  
• What are the first and second derivatives of `f(x)=ln((x-1)^2/(x+3))^(1/3)`?
  
• How do you find the equation of the line tangent to the graph of `f(x)= (ln x)^5` at x=5?
  
• Question #52b10
  
• How do you determine the limit of `(x^2 -2x) / (x^2 - 4x + 4)` as x approaches 2-?
  
• How do you use the chain rule to differentiate `sqrt(-cosx)`?
  
• How do you express `cos( (15 pi)/ 8 ) * cos (( 5 pi) /8 )` without using products of trigonometric functions?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `b=12, c=10, mangleB=49`?
  
• How do you solve `sinx+2=3`?
  
• How do you find the derivative `f (x) = x^6 · e^(7x)`?
  
• How do you evaluate `arc cot(cot(-pi/4))` without a calculator?
  
• How do you solve `log_4 x =2-log_4 (x+6)`?
  
• How do you solve the triangle given `triangleABC, a=15, b=19, mangleC=60`?
  
• How do you plot the polar coordinate `(-2, -45^o)`?
  
• How do you evaluate `log 0.01`?
  
• Question #97001
  
• How do you verify the identity `csc^4x-2csc^2x+1=cot^4x`?
  
• How do you differentiate `1/cos(x) = x/(x-y^2-y)`?
  
• How do you prove `csc^4[theta]-cot^4[theta]=2csc^2-1`?
  
• Integrate `lnx/10^x`?
  
• Question #c4d83
  
• Question #75f4f
  
• How do you find the nth term for the geometric sequence a1 = -9, n=6, r=2?
  
• How do you differentiate `e^((2-x)^2)` using the chain rule?
  
• From `cosh2A = 1+2(sinh^2)A`, how do you prove that `(sinh^4)A + (cosh^4)A=(cosh4A + 3)/4` and also `(cosh^4)A - (sinh^4)A = cosh2A`?
  
• Question #831dc
  
• What is `lim_(xrarroo) (e^(2x)sin(1/x))/x^2`?
  
• Question #7218e
  
• How do you verify `2(tan(2A)) * (2(cos^2(2A) - sin^2(4A)) = sin(8A)`?
  
• What is the slope of the tangent line of `xy^2-(1-x/y)^2= C`, where C is an arbitrary constant, at `(1,-1)`?
  
• How do you evaluate `sec ((5pi)/12)`?
  
• How do you verify `tanh x/(cosh x - sinh x tanh x) = sinh x`?
  
• How do you evaluate `tan^-1(tan((11pi)/10))`?
  
• How do you determine the limit of `1/(x²+5x-6)` as x approaches -6?
  
• How do you solve `4^(x +4) = 5^((2x)/ 5)`?
  
• How do you plot the polar coordinate `(4,135^o)`?
  
• Question #d44e3
  
• How do you show `(coshx + sinhx)^n = cosh(nx) + sinh(nx)` for any real number n?
  
• How do you find the derivative of `cos(x^2)`?
  
• How do you determine the number of possible triangles and find the measure of the three angles given `a=9, c=10, mangleC=150`?
  
• How do you solve `4sin^2x=1` for x in the interval [0,2pi)?
  
• How do you verify `(tan(x)/(1 + sec(x))) + (1+sec(x)/tan(x)) = 2csc(x)`?
  
• How do you solve `e^x = 27`?
  
• What are the extrema of `f(x) = e^x(x^2+2x+1)`?
  
• How do you convert the cartesian coordinate (2, -4) into polar coordinates?
  
• Question #13d24
  
• Question #5df15
  
• What is the equation of the line normal to `f(x)=-x^2+3x - 1` at `x=-1`?
  
• How do you find the derivative of `f(x)=ln(x^5(x-2)^3)`?
  
• How do you convert `(0, -5)` into polar form?
  
• How do you evaluate `cos^-1(cos ((9pi)/8))`?
  
• How do I prove and find the domain of the following trig identity?
  
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