Question 1

Estimate the length of the curve   on the interval   using three line segments. Round the answer to 3 decimal places.

Accepted Answer

A)  3.552 
B)  3.604 
C)  1.902 
D)  0.634 
A)  3.552 
B)  3.604 
C)  1.902 
D)  0.634

Question 2

Use graphical and numerical evidence to determine if   exists. If so, state the limit.

Accepted Answer

A)  The limit exists and is   at   . 
B)  The limit exists and is   at   . 
C)  The limit does not exist; the function is increasing without bound from the left and decreasing without bound from the right at   . 
D)  The limit does not exist; the function is decreasing without bound from the left and decreasing without bound from the right at   . 
A)  The limit exists and is   at   . 
B)  The limit exists and is   at   . 
C)  The limit does not exist; the function is increasing without bound from the left and decreasing without bound from the right at   . 
D)  The limit does not exist; the function is decreasing without bound from the left and decreasing without bound from the right at   .

Question 3

For the function graphed below, identify   or state that the limit does not exist.

Accepted Answer

A)  0 
B)  2 
C)    
D)  does not exist 
A)  0 
B)  2 
C)    
D)  does not exist

Question 4

Use the Intermediate Value Theorem to determine if f has a zero in the interval [2, 7].

Accepted Answer

Since f(x) is continuous on the interval

Question 5

Estimate the length of the curve   on the interval   using four line segments. Round the answer to 3 decimal places.

Accepted Answer

A)  16.492 
B)  8.000 
C)  16.638 
D)  16.000 
A)  16.492 
B)  8.000 
C)  16.638 
D)  16.000

Estimate the length of the curve on the interval using three line segments. Round the answer to 3 decimal places.

Use graphical and numerical evidence to determine if exists. If so, state the limit.

For the function graphed below, identify or state that the limit does not exist.

Use the Intermediate Value Theorem to determine if f has a zero in the interval [2, 7].

Estimate the length of the curve on the interval using four line segments. Round the answer to 3 decimal places.

Preliminaries

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters

Exam 2: Limits and Continuity

Estimate the length of the curve on the interval using three line segments. Round the answer to 3 decimal places.

Use graphical and numerical evidence to determine if exists. If so, state the limit.

For the function graphed below, identify or state that the limit does not exist.

Use the Intermediate Value Theorem to determine if f has a zero in the interval [2, 7].

Estimate the length of the curve on the interval using four line segments. Round the answer to 3 decimal places.

Preliminaries

Differentiation

Applications of the Derivative

Integration

Applications of the Definite Integral

Exponentials, Logarithms and Other Transcendental Functions

Integration Techniques

First-Order Differential Equations

Infinite Series

Parametric Equations and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables and Partial Differentiation

Multiple Integrals

Vector Calculus

Second Order Differential Equations

Filters