Find the domain of the following function:
[-2, ∞)
Which equation describes a parabola
a. 3y2 + 10y - 8x2 - 4x - 2 = 0
b. -2y2 + 10x + 9y = -11
c. -2x2 + 10x - 4y2 + 9y = 2
d. -4x2 + 10x - 4y2 - 2y + 9 = 0
b. -2y2 + 10x + 9y = -11
Unit 5: The angle of elevation and depression are always _________ because they are what kind of angles?
They are always congruent because they are corresponding angles.
Unit 7: Turn this series into a matrix.
3x + 7y - 11z = 44
x + 2y - 3z = 12
4x + 9y - 13z = 53
[3 7 -11 44]
[1 2 -3 12]
[4 9 -13 53]
Given that: f(x) = 3x2+2x+1 and g(x) = 4x-5 Find f[g(x)]
48x2-112x+66
If the center of an Ellipse = (1, 0) and the foci = (3, 0) and (-1, 0) what will c equal?
C = 2
Unit 5:
X = 7.097
Unit 7: Simplify this expression -
p^1/5 * p^1/2
Identify this function and the inverse:
y = (-x+3)/(x+2)
Rational Function, (-2x+3)/x
Find the standard form of the equation of parabola from:
Vertex: (3, 4) and Focus: (5, 4)
(y - 4)2 = 8(x - 3)
Unit 6: What is the acronym for Sin, cosine, and tangent?
SOH CAH TOA
Unit 8: Is this a rectangular or parametric equation?
x = 5t - 3
y = 3t^2 -5
Parametric
A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. According to the description below: what are the dimensions of the field that has the largest area?
1200 ft by 600 ft
In the hyperbola -3y2 + 4x2 + 8x + 16 = 0 what is the standard form and foci?
Standard Form: (y2)/4 - (x+1)2/3 = 1
Foci = (-1, √7) and (-1, -√7)
Unit 6: Give each equation of SOH CAH TOA.
opposite/hypotenuse - adjacent/hypotenuse - opposite/adjacent
Unit 8: True or false? The parametric equations x = 2 tan t, y = 3 sec t will graph a parabola.
False.
Find: y and x intercept, horizontal, vertical and slant asymptote, Hole(s), Domain and Range
The opening under a bridge is in the shape of a semi-elliptical arch and has a span of 74 feet. The height of the arch, at a distance 10 feet from the center, is 30 feet. Find the height of the arch at its center.
31.2 feet
Find H and x
H = 12.867
x = 9.03
Unit 8: What is a parametric curve?
The set of points (x,y)=(f(t),g(t))