Pre-Calculus Q1
These are curves obtained by intersecting a plane and a double right circular cone.
Conic Sections
5, -10, 20, -40, …. is an example of what type of sequence?
TRUE or FALSE: If the left-hand limit of a function is not equal to the right-hand limit, then the limit exists.
FALSE
TRUE or FALSE: Implicit differentiation uses chain rule to find the derivatives of equations that explicitly defines a function.
FALSE
What is the standard form of the equation of a circle with a center at the origin and a radius of 1?
x2+y2=1
It is formed by rotating a ray through its endpoint called the vertex
Angle
These are the functions that cannot be expounded in algebraic form.
The process of finding the antiderivative of a given function is called____________.
Integration or Antidifferentiation
The parabola (x+5)2=8(y-1), opens at what direction?
Upward
It is referred as the height of the graph from center to highest limit or from center to lowest limit.
Amplitude
What is the value of the lim(x→a) (ex-1)/x
1
What does C represent in an antiderivative
Constant of Derivation
The equation x2-4x+y2+2y=4, represents what conic section?
Circle
The equation -2 +2x = -2(1-x) is an example of ________________.
Identity
This type of discontinuity often seen in the piecewise functions, where the left-hand limit and the right-hand limit at x=c exist, but they are not equal to each other.
Jump Discontinuity
What is the antiderivative of 3x2+2?
x3+2x+C
If an ellipse has an eccentricity of 0, what can be concluded about the shape of the ellipse?
The ellipse becomes a circle
A ladder 5 m long, leaning against a vertical wall makes an angle of 65° with the ground. What angle does the ladder make with the wall?
25°
What is the derivative x3+y3=9xy with respect to x?
3x2+3y
Find the integral of ∫(cos x - sin x)dx
sin x + cos x + c