Random
convert to rectangular
r=3sec(θ)
x=3
what's the center of the circle
x^2 + y^2 + 4x - 6y + 13 = 1
(-2, 3)
(x+2)^2 - 4 + (y - 3)^2 -9 = - 12
(x+2)^2 + (y - 3)^2 = 1
what are the coordinates for a parabolas focus that has a horizontal directrix and is facing up?
(h, k+p)
what value(s) of x make the function undefined?
g(x) = (x-5) / (x^2 - 9)
x= 3, -3
simplify
[2(cos ϴ + i sin ϴ)]^2
4(cos2ϴ + isin2ϴ)
is this a rational inequality?
-x/2 < 2/5
No
what's the doman of the function
y = sin^-1(x)
[-1,1]
what does the equation graph(ellipse, hyperbola, parabola)?
4x^2 - 3y^2 + 8x + 16 = 0
hyperbola
complete the square and solve for x
𝑥^2 + 8𝑥 – 9 = 0
1 and -9
Find the area of a triangle with side lengths 5,3,6
√7(7-5)(7-3)(7-6) = √58 = 7.62
Divide 8x^3 - 1
by
2x - 1
4x^2 + 2x + 1
If sin(x) + cos (x) = 5/4
what is the value of sin(2x)?
9/16
write a set of parametric equations for the given rectangular equations:
y= (x-2)^2
t= 3 + x
x= t - 3
y= (t - 5)^2
what quadrant is such triangle in if
tan(x) = -(8/15)
and
cos(x) < 0
Q2
3 additional coordinates for the point (3, 45)
answers may vary but (-3, 225) , (3, 405) , and (3, -315) are some
Triangle ABC is given where m(angle)A=33 degrees, a=15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements?
two triangles
find the b value of the shape with the equation:
4x^2 + 25y^2 - 24x + 250y + 561 = 0
2
express in simplest form:
(1 + (3/x)) / (1 - (5/x)- (24/x^2))
(x)/(x-8)
find eccentricity of
(x-3)2/4 + (y-2)2/9 = 1
(√5)/3
convert 2x + 13y = 7 to polar form
2(rcosθ) + 13(rsinθ ) = 7
2rcosθ + 13rsinθ = 7
r (2cosθ + 13sinθ) = 7
r = 7/ 2cosθ + 13sinθ
find cube root of
-1 + √3i
3√2 cis(2pi/9)
3√2 cis(8pi/9)
3√2 cis (14pi/9)
write the complex in standard form
z= √8 (cos(-π/3) + i sin(-π/3))
√2 -√6i
find the three cube roots of
z= -2 + 2i
√2 cis 45 degrees
√2 cis 165 degrees
√2 cis 285 degrees
what does hags stand for??
Have a great summer!
express (x^2 - 7x + 9)/(x+2)(x-1)^2 in partial fractions
(x^2 - 7x + 9)/(x+2)(x-1)^2 = (3)/(x+2) - (2)/(x-1) + (1)/(x-1)^2
let x= 1, you find C= 1
let x = -2, you find A= 3
let x= 0, you find B= -2