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HPreCalc Sem 2 Final Exam C 2023

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Last updated over 1 year ago
29 questions
6
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Question 1
1.

Evaluate

Question 2
2.

Evaluate

Question 3
3.

State the amplitude for the function:

Question 4
4.

State the period for the function:

Question 5
5.

State the frequency for the function:

Question 6
6.

State the phase shift for the function:

Question 7
7.

State the vertical shift for the function:

Question 8
8.

Solve for x with x ∈ [0, 2𝜋)

Question 9
9.

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

Question 10
10.

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

Question 11
11.

Given:
Find the exact value of:

Question 12
12.

Given:
Find the exact value of:

Question 13
13.

Find the exact value of:

Question 14
14.

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

Question 15
15.

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

Draggable itemarrow_right_altCorresponding Item
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2 Triangles Exist
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No Triangle Exists
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1 Triangle Exists
Question 16
16.

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

Question 17
17.

What is the area of a triangle with sides measures: 20, 30, and 38? Round to two decimal places.

Question 18
18.

Expand the binomial (5x - 3y)4 .
Note: For grading purposes, write your answer as a simplified polynomial expression with x decreasing in power and y increasing in power.

Question 19
19.

Simplify:
Note: Report your answer in factored form.

Question 20
20.

What is the 14th term of the following sequence:

Question 21
21.

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

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Question 22
22.

What is the sum for the expression:

Question 23
23.

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

Question 24
24.

The following series is divergent.

Question 25
25.

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

Question 26
26.

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

Question 27
27.

Write the equation of the tangent line at (2, 9) for the following function in slope-intercept form (y =mx+b):

Question 28
28.

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

Question 29
29.

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

Draggable itemarrow_right_altCorresponding Item
f(2) =
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3
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1
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3
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Does not exist
Not an answer for any of these.
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2