Answers edited by bp

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• How do you find the center, vertices, and foci of an ellipse #(x-3)^2 / 16 + (y+2)^2 / 9=1#?
  
• What is the distance between the following polar coordinates?: # (3,(17pi)/12), (5,(7pi)/8) #
  
• How do you find the equation of the line tangent to #y=sqrt(t-1)# at (5,2)?
  
• Is #sum_(n=0)^oo (1-1/n)^n# convergent or divergent ?
  
• How do you integrate #int(6x^2+7x-6)/((x^2-4)(x+2))dx# using partial fractions?
  
• How do you divide #( -4i+9) / (2i-12)# in trigonometric form?
  
• How do you find the antiderivative of # cos 5 x#?
  
• How to solve ∫(cos^3x)(sin^2x) dx ?
  
• How do you simplify #6[cos(-pi/3)+isin(-pi/3)]*3(cos((5pi)/6)+isin((5pi)/6))# and express the result in rectangular form?
  
• What is the orthocenter of a triangle with corners at #(5 ,7 )#, #(2 ,3 )#, and #(7 ,2 )# ?
  
• How do you solve #x^2 + y^2 = 9# and #x^2 – 3y = 9#?
  
• How do you find the trig ratios by drawing the terminal and finding the reference angle: sin(235°)?
  
• How do you solve #20t ^ { 2} - 17t = 63#?
  
• How do you find a polynomial function that has zeros -2, -1, 0, 1, 2?
  
• Question #3d4ae
  
• How do you solve #sin^2x = cos^2x - 1#?
  
• Question #e7ab8
  
• How do you factor #7x^2-30x+27#?
  
• What is the slope of the tangent line of #r=2theta-cos(5theta+(5pi)/3)# at #theta=(-7pi)/4#?
  
• Question #a7d14
  
• How do you find all values of t in the interval #[0,2pi]# satisfying the given equation #4cos^2t+4=5#?
  
• How do you find the asymptotes for #f(x)=(x+7)/(x^2-49)#?
  
• How do you find value of discriminant then describe number and type of solutions for #x^2 - 16x + 64 = 0#?
  
• A triangle has corners A, B, and C located at #(4 ,7 )#, #(3 ,5 )#, and #(6 ,1 )#, respectively. What are the endpoints and length of the altitude going through corner C?
  
• What is the distance between #(-6 , pi/3 )# and #(7 , pi/2 )#?
  
• How do you simplify #8x + 3m + 7n + 4xz − 5p#?
  
• How do you solve #abs(y^3)=1/(3sqrt3)#?
  
• Question #1f618
  
• A triangle has sides A, B, and C. The angle between sides A and B is #pi/6# and the angle between sides B and C is #pi/12#. If side B has a length of 12, what is the area of the triangle?
  
• What is the domain and range of #y = (x – 5)^2 + 10#?
  
• How do you find the integral of # [ (1+cos^2(x)) / sin(x) ] dx#?
  
• How do you find the range of # f(x) = -x^2 + 3#?
  
• #int (1-x)/((1+x)*(x+x^2+x^3)^(1/2)dx#?
  
• What is #f(x) = int sqrt(x+3) -x dx# if #f(1)=-4 #?
  
• How do you solve #log(x^3)=(logx)^3#?
  
• How do you solve #sin(3x)= -1# with domain between 0 and 2pi?
  
• How do you solve #x = y - 8# and #-x - y = 0# using substitution?
  
• How do you differentiate #f(x)=log_3(xe^x)#?
  
• How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #y = x – 4# and #y = –9x + 6#?
  
• What is the angle between #<-8,0,6> # and #<3,2,-3 >#?
  
• How do you find the amplitude and period of #y= tan2x-3#?
  
• How do you find the integral of #xln(x) dx# from 0 to 1?