Question 1

Find   .

Accepted Answer

The answer of Find   ....

Question 2

Given   , determine if h is continuous at 0.

Accepted Answer

@#IMG-DLM& @#IMG-DLM& So f(x)

Question 3

Find   .

Accepted Answer

The answer of Find   ....

Question 4

Find   .

Accepted Answer

The answer of Find   ....

Question 5

Find   .

Accepted Answer

The answer of Find   ....

Question 6

Find a least number $\delta$  such that |f(x) - L| < $\varepsilon$ if 0 < |x - a| < $\delta$ .   ; $\varepsilon$ = 0.005

Accepted Answer

A)  0 
B)  0.0025 
C)  0.0028 
D)  0.0035 
E)  0.0039 
A)  0 
B)  0.0025 
C)  0.0028 
D)  0.0035 
E)  0.0039

Question 7

Find   .

Accepted Answer

The answer of Find   ....

Question 8

Answer true or false. The value of k that makes f continuous for   is 2

Accepted Answer

A) True 
 B)False

Question 9

Approximate the   by evaluating   at x = 4.5, 4.9, 4.99, 4.999, 5.5, 5.1, 5.01, and 5.001.

Accepted Answer

A)  5 
B)  2.5 
C)  11 
D)  10 
E)  12 
A)  5 
B)  2.5 
C)  11 
D)  10 
E)  12

Question 10

Find   where

Accepted Answer

The answer of Find   where  ...

Question 11

Find   .

Accepted Answer

The answer of Find   ....

Question 12

Approximate the   by evaluating   at appropriate values of x.

Accepted Answer

A)  1 
B)  0 
C)    
D)    
E)  12 
A)  1 
B)  0 
C)    
D)    
E)  12

Question 13

Given   , is g continuous at x = 10.

Accepted Answer

The answer of Given   , is g continuous...

Question 14

Answer true or false.   does not exist.

Accepted Answer

A) True 
 B)False

Question 15

Find   .

Accepted Answer

The answer of Find   ....

Question 16

Assign a value to the constant k which will make g continuous.

Accepted Answer

The answer of Assign a value to the constant k...

Question 17

Approximate   by evaluating   at appropriate values of x.

Accepted Answer

@#IMG-DLM& The limit

Question 18

Prove that   .

Accepted Answer

The answer of Prove that   ....

Question 19

Consider the function f graphed here:   For what values of a does   exist?

Accepted Answer

The answer of Consider the function f graphed here: ...

Question 20

Answer true or false. The function   has a removable discontinuity at x = 5.

Accepted Answer

A) True 
 B)False

Find .

Given , determine if h is continuous at 0.

Find .

Find .

Find .

Find a least number $\delta$ such that |f(x) - L| < $\varepsilon$ if 0 < |x - a| < $\delta$ . $Find a least number \delta such that |f(x) - L| < \varepsilon if 0 < |x - a| < \delta . ; \varepsilon = 0.005$ ; $\varepsilon$ = 0.005

Find .

Answer true or false. The value of k that makes f continuous for is 2

Approximate the by evaluating at x = 4.5, 4.9, 4.99, 4.999, 5.5, 5.1, 5.01, and 5.001.

Find where

Find .

Approximate the by evaluating at appropriate values of x.

Given , is g continuous at x = 10.

Answer true or false. does not exist.

Find .

Assign a value to the constant k which will make g continuous.

Approximate by evaluating at appropriate values of x.

Prove that .

Consider the function f graphed here: For what values of a does exist?

Answer true or false. The function has a removable discontinuity at x = 5.

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Exam 1: Limits and Continuity

Find .

Given , determine if h is continuous at 0.

Find .

Find .

Find .

Find a least number δ\deltaδ such that |f(x) - L| < ε\varepsilonε if 0 < |x - a| < δ\deltaδ . ; ε\varepsilonε = 0.005

Find .

Answer true or false. The value of k that makes f continuous for is 2

Approximate the by evaluating at x = 4.5, 4.9, 4.99, 4.999, 5.5, 5.1, 5.01, and 5.001.

Find where

Find .

Approximate the by evaluating at appropriate values of x.

Given , is g continuous at x = 10.

Answer true or false. does not exist.

Find .

Assign a value to the constant k which will make g continuous.

Approximate by evaluating at appropriate values of x.

Prove that .

Consider the function f graphed here: For what values of a does exist?

Answer true or false. The function has a removable discontinuity at x = 5.

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Three-Dimensional Space; Vectors

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters

Find a least number $\delta$ such that |f(x) - L| < $\varepsilon$ if 0 < |x - a| < $\delta$ . $Find a least number \delta such that |f(x) - L| < \varepsilon if 0 < |x - a| < \delta . ; \varepsilon = 0.005$ ; $\varepsilon$ = 0.005