HPC Sem 2 Final REVIEW C 2023

Last updated over 1 year ago
39 questions
6

Match the exact value of each function.

Draggable itemCorresponding Item
Not answer for any of the functions.
Not answer for any of the functions.
1

State the amplitude for the function:

1

State the period for the function:

1

State the frequency for the function:

1

State the phase shift for the function:

1

State the vertical shift for the function:

2

Solve for x with x ∈ [0, 2𝜋)

2

Solve for x with x ∈ [0, 2𝜋)

2

Solve for x for all real solutions. Let k = the set of all integers.

2

Solve for x for all real solutions. Let k = the set of all integers.

0

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

0

Prove the identity by verifying that both sides are equivalent. Show all steps for full credit.

1

Given:
Find the exact value of:

1

Given:
Find the exact value of:

1

Given:
Find the exact value of:

1

Find the exact value of:

0

Simplify down one expression or value. Show all steps for full credit.

4

Using the Law of Sines, determine how many solutions exist for the given information.

Draggable itemCorresponding Item
2 Triangles Exist
No Triangle Exists
1 Triangle Exists
1 Triangle Exists
3

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

1

What is the area of a triangle with sides measures: 23, 19, and 12? Round to two decimal places.

2

Expand the binomial (2x - y2)4 .
Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

1

Simplify:

1

What is the 8th term of the following sequence:

1

What is the 15th term of the following sequence:

4

Match limit to the correct value or state the limit is nonexistent.

Draggable itemCorresponding Item
Nonexistent
1

What is the sum for the expression:

1

Find the 12th partial sum of the following sequence:

1

Express the finite series using sigma notation.
Note: use k as the index of the summation.

1

The following series is convergent.

1

The following series is convergent.

1

The following series is convergent.

1

Use the ratio test to find r. Determine if the series is divergent or convergent:

1

Using the formal definition, find the derivative, f'(x), for the following function:

1

Using the formal definition, find the derivative, f'(x), for the following function:

1

Find the slope of the tanget line at (-1, 3) for the following function:

1

Write the equation of the tanget line at (1, -4) for the following function in slope-intercept form (y= mx+b):

1

Find the area bounded by the function and the x-axis on the given interval.

1

Use the limit process to find the area bounded by the function and the x-axis on the given interval.

7

Use the following graph of the function f(x) below to match the limit of the function as stated.

Draggable itemCorresponding Item
-6
-6
-3
5
2
5
Does Not Exist