Answers created by Jothi S.

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• How do you write the equation of an ellipse with vertices at (-5,1) and (-1,1) and co-vertices at (-3,2) and (-3,0)?
  
• If #f(1) = 3# and #f(n) = -2f(n-1) + 1#, what is #f(5)#?
  
• How do you solve using the completing the square method #x^2 − x = 30#?
  
• If cot (π/2 - x) = -3/4 , what is sec^2(x)?
  
• How do you find the derivative of #3arccos(x/2) #?
  
• At the shopping mall, Joaquin bought 4 pretzels and a bottle of water for $11.50. Kelly bought 3 pretzels and a bottle of water for $9.00. What is the price of a bottle of water?
  
• How do you integrate #int dx/(x^2+1)^2# using trig substitutions?
  
• How do you solve #x^2>=36# using a sign chart?
  
• How do you differentiate #f(x)=sec(e^(x)-3x ) # using the chain rule?
  
• What is the equation of the normal line of #f(x)=2x^4+4x^3-2x^2-3x+3# at #x=1#?
  
• How do you solve # |16 + t| = 2t - 3#?
  
• How do you find the phase shift of #y=sin(theta-3 pi/4)#?
  
• What is 7.25% of 7600?
  
• How do you solve the following equation # 2 cos x - 1=0# in the interval [0, 2pi]?
  
• How do you convert #2y=y^2-x^2 -4x # into a polar equation?
  
• How do you find the exact value of #sin ((5pi)/3)#?
  
• How do you find the critical numbers for #cos (x/(x^2+1))# to determine the maximum and minimum?
  
• How do you find the Vertical, Horizontal, and Oblique Asymptote given #Q(x) =( 2x^2) / (x^2 - 5x - 6)#?
  
• How do you solve #cot^2x=2cotx-1#?
  
• How do you differentiate #y=ln((x-1)/(x^2+1))#?
  
• How do you solve #(8x)^(1/2)+6=0#?
  
• How do you solve #3cscx+5=0#?
  
• How do you evaluate #sin ((7pi)/12)#?
  
• Each episode of a show requires 3.5% of the total capacity her video recorder. Her recorder currently has 62% of its total memory free. If Monica records all five episodes this week, how much space will be left on her video recorder?
  
• What is the the vertex of #y = -x^2 - 3#?
  
• How do you differentiate #f(x)=sqrt(e^cot(x)) # using the chain rule?
  
• What is the equation of the normal line of #f(x)= (3x^2-2)/(6x)# at #x = 1#?
  
• How do you differentiate #g(x) = (x^2+1) (x^2-3x)# using the product rule?
  
• Show that integration of cos^4 x sin² x dx = 1/16 [ x - (sin4x)/4 + (sin^3 2x)/3 ] +c ?
  
• What is the domain and range of # f(x) = 5/ |x|-3 #?
  
• If a right triangle has legs of #x# and #3x# and a hypotenuse of #10#, what is the value of #x#?
  
• What is the vertex of # y= -2x^2-2x-6+3(x-1)^2#?
  
• How do you solve #log_3 (x + 3) + log_3 (x + 5) = 1#?
  
• How do you differentiate #f(x)=2x(x^2-1)# using the product rule?
  
• How do you solve #Log(2x-1)=3#?
  
• How do you differentiate # f(x)=tan(e^((lnx-2)^2 ))# using the chain rule.?
  
• How do you convert #r = 4sec(theta)# into cartesian form?
  
• What are the critical values, if any, of #f(x) = x^(2/3)+x^(-1/3) #?
  
• What are the intercepts of #7y+3x=7#?
  
• What is the equation of the line tangent to # f(x)=sqrt(e^x-x) # at # x=1#?
  
• How do you rewrite #log_11 11 = 1# in exponential form?
  
• How do you implicitly differentiate #-3=5x^3y-x^2y+y^2/x#?
  
• What are the local extrema, if any, of #f (x) = x^3 - 6x^2 - 15x + 11 #?
  
• What is the arclength of #(2t^2-t,t^4-t)# on #t in [-4,1]#?