Answers created by Hubert

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• Question #5e5f5
  
• Question #7e09b
  
• How do you use DeMoivre's Theorem to simplify #(2(cos(pi/2)+isin(pi/2)))^8#?
  
• If #sintheta=sqrt403/22# and #pi/2<theta<pi#, how do you find #tan2theta#?
  
• How do you solve #2sin^2theta=1#?
  
• How do you solve #5sinx+2=sinx# for #0<=x<=2pi#?
  
• How do you solve #\frac { w } { 3} + \frac { 2} { 5} = \frac { 1} { 15}#?
  
• How do you solve #8( x + 3) - 16> 5x + 8+ 3x#?
  
• How do you solve the system of equations #2x+8y=6# and #-5x-20y=-15#?
  
• What is the next four terms in the arithmetic sequence: 12, 16, 20,...?
  
• How do you differentiate #f(x)=(ax+b)/(cx+d)#?
  
• How do you find the exact value of #tanx-3cotx=0# in the interval #0<=x<360^@#?
  
• What are the mean and standard deviation of the probability density function given by #(p(x))/k=(1-1/(1-x))# for # x in [2,10]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
  
• What is the standard deviation for {1,3,4,6,8}?
  
• If the mean of numbers 28, x, 42, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
  
• How do you find vertical, horizontal and oblique asymptotes for #f(x)=(3x^2 + 2x - 3 )/( x - 1)#?
  
• If #f(x) = 9x-4# and #g(x) = 7x-9#, what ix #(f-g)(x)#?
  
• How do you factor #2a^2+3a+1#?
  
• How do you rationalize the denominator and simplify #1/(sqrt5-3)#?
  
• How do you factor #-6x^2+6x^3 #?
  
• What are the variance and standard deviation of a binomial distribution with #N=124# and #p=0.85#?
  
• Question #16ef7
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12# and the angle between sides B and C is #pi/6#. If side B has a length of 2, what is the area of the triangle?
  
• How do you solve #Sin^(2)[theta]=cos^(2)[theta]+1#?
  
• How do you solve #2cos^3x + cos^2x = 0# in the interval [0, 2pi]?
  
• How do you use the rational roots theorem to find all possible zeros of # P(x) = 2x^5 + 3x^4 + 2x^2 - 2#?
  
• Let the random variables X and Y have the joint pmf #f(x,y)=(x+y)/32#, #x=1,2#, and #y=1,2,3,4#. What are the means #mu_x# and #mu_y#, the variances #sigma ""_x^2# and #sigma "" _y^2#, and the correlation coefficient #rho#?
  
• How do you determine if #xy=1# is an even or odd function?
  
• What are the mean and standard deviation of a binomial probability distribution with #n=17 # and #p=18/32 #?
  
• Question #d548a
  
• Jonathan's math test scores were 87, 93, 85, 62, and 95. What was his mean score?
  
• How do you find the limit of #(1/(ln x) - 1/(x-1))# as x approaches 1?
  
• How do use the first derivative test to determine the local extrema #f(x) = x³+3x²-9x+15#?
  
• How do you find the extrema for #f(x) = x^2 +2x - 4# for [-1,1]?
  
• How do you find the other five trigonometric functions of x if #cosx = 3/5#?
  
• How do you convert 314159 into scientific form?
  
• How do you find the value for #tan^-1[tan(5pi/7)]#?
  
• In triangle ABC, A=31.4, B=53.7, <C=61.3°, how do you find the area?
  
• How do you determine where the graph of the given function is increasing, decreasing, concave up, and concave down for #h(x) = (x^2) / (x^2+1)#?
  
• What is the derivative of #(pi)/(x)#?
  
• How do you find the derivative of #x^2+1#?
  
• How do you find the derivative of #x^(1/2)#?
  
• How do you find the derivative of #f(x) = x^2(x-2)^4#?
  
• What is the sum of the infinite geometric series with #a_1=42# and #r=6/5#?
  
• How do you use the law of sines to solve the triangle given A = 165.1°, B = 81.9°, b = 18.6?
  
• How do you factor #n^2-9n+20#?
  
• How do you simplify #i^-33#?
  
• How do you find the critical points for #y = 2x^3 + 3x^2 - 12x + 4#?
  
• How do you find the intervals of increasing, decreasing and concavity for # f(x) = 2x^3 + 3x^2 - 432x #?
  
• How do you solve #Arctan(x) = pi/4#?
  
• How do you find the solution to the quadratic equation # x^2 - 5x - 8 = 0#?
  
• How do I find the sum of the infinite geometric series such that #a_1=-5# and #r=1/6#?
  
• What is the sum of the infinite geometric series 1 + #1/5# + #1/25# +... ?
  
• How do you factor #4a^2-28a+48#?
  
• How do you solve #5^(x+2) = 4^(1-x)#?
  
• How do you find all the asymptotes for #(2x^3+11x^2+5x-1)/(x^2+6x+5 )#?
  
• How do I find the range of the function #y=-2^x+2#?
  
• How do you find the domain of #f(x)=(log[x-4])/(log[3])#?
  
• How do I find the partial-fraction decomposition of #(s+3)/((s+5)(s^2+4s+5))#?