Unit 2: Limits
What is the formula for Velocity?
ΔDistance/ΔTime
The instantaneous rate of change of a function is its...
Derivative
If a function moves from decreasing to increasing, there is a local...
Minimum
An integral is just an anti-
Derivative
If a function is in respect to x, it will be rotated around the __ axis
X
Which of these is not a type of discontinuity:
A. Jump
B. Asymptote/Infinite
C. Slide
C. Slide
Which of the following is not a derivative rule:
A. Power
B. Base
C. Chain
B. Base
When the derivative of a function at a given point is zero or infinite, that point is a(n)...
Critical Point
The area from the curve to the indicated axis is the...
Definite Integral
If a function is in respect to y, it will be rotated around the __ axis
Y
What are the three ways to evaluate a limit
1)Graphically
2)Algebraically
3)Numerically
What is the derivative of y=ex
ex
If the first derivative is negative on an interval, then the function is...
Decreasing
__________ is not a vector and is the total movement of an object. __________ is a vector that measures the difference between the initial and ending point.
A. Distance, Displacement
B. Displacement, Distance
C. Velocity, Distance
A. Distance, Displacement
Solving integral of the area of a cross section gets you the _______ of an object
Volume
If there is a hole in a function, it has a(n) ___________ discontinuity
Removable
What is the derivative of y=ln(x)
1/x
Interval testing with the first derivative will identify intervals where the function is...
Increasing/Decreasing
Generally, _______ point approximation is more accurate than left or right point approximation
Middle
DAILY DOUBLE!!! What are the four steps to optimization?
A. Define variables and create equation, determine intervals and critical points, optimize: find minimum or maximum, and write a conclusion.
B. Determine intervals and critical points, define variables and create equation, optimize: find minimum or maximum, and write a conclusion.
C. Optimize: find minimum or maximum, define variables and create equation, determine intervals and critical points, and write a conclusion.
A. Define variables and create equation, determine intervals and critical points, optimize: find minimum or maximum, and write a conclusion.
A line that touches a curve at two points is called a(n)...
Secant Line
The second order derivative of a position function is the ___________ function
Acceleration
Interval testing with the second derivative will identify intervals where the function is...
Concave Up/Down
The integral of a velocity function is the ___________ function
Position
The distance from an axis to the function is the _______ of the cross section
Radius