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