Calculus Answers

: Graph each equation be sure to identify the important features such as the center, verticies, foci, directrix and asymptotes.

(y-7)^2 = -12(x+1)

: Graph each equation be sure to identify the important features such as the center, verticies, foci, directrix and asymptotes. The graph is scaled 8 tall and 8 wide.

(y-2)^2 (x+3)^2
------------- - ------------ = 1
4 9

: Graph each equation be sure to identify the important features such as the center, verticies, foci, directrix and asymptotes. The graph is scaled 14 tall and 14 wide.

(x+2)^2 (y-3)^2
--------- + ----------- = 1
9 16

: Graph each equation be sure to identify the important features such as the center, verticies, foci, directrix and asymptotes. The graph is scaled 8 tall and 8 wide.

(x-3)^2 + (y+1)^2 = 25

Evaluate integral subscript 3 superscript 4 fraction numerator 2 x minus 3 over denominator x squared minus 3 x plus 1 end fraction d x

Find integral 2 x space open parentheses x squared minus 7 close parentheses cubed d x.

1: Solve each system. Show work

7y^2 + x^2 = 64
x + y = 4

2: Solve each system. Show work

x^2 + y^2 + 2x + 2y = 0
x^2 + y^2 + 4x + 6y + 12 = 0

: Write a function with the given characteristics, show work: A polynomial with rational coefficients having roots 3, 3 and 3 – i


: Write a function with the given characteristics, show work: A rational function with vertical asymptote x = 5 and a horizontal asymptote y = ½

5: Determine the equations of the asymptotes, show work: g(x) = (2x^2 + 1)/ (x + 3 )

1: Sketch the graph o f(x) = x^4 – 4x^3 – x^2 + 12x – 2. Identify the extreme values and show work. The graph is scaled 12 tall and 4 wide.

2: Sketch the graph of h(x) = x^2 – 3x – 4/ x – 4 Label any important features. State the domain and range show work. The graph is scaled 5 tall and 5 wide.