Answers edited by bp

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