HPreCalc Sem 2 Final Exam C 2023

Last updated almost 2 years ago

29 questions

6

1

2

1

2

4

3

1

2

1

4

1

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HPreCalc Sem 2 Final Exam C 2023

Last updated almost 2 years ago

29 questions

6

Evaluate

6

Evaluate

1

State the amplitude for the function:

1

State the period for the function:

1

State the vertical shift for the function:

2

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

Find the exact value of:

2

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

4

Draggable item		Corresponding Item

3

1

2

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.

1

Simplify:
Note: Report your answer in factored form.

1

4

Draggable item		Corresponding Item

1

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

1

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

1

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

1

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

1

Draggable item		Corresponding Item

Evaluate

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

2 cycles per 2𝜋

2 cycles per 𝜋

1 cycle per 2𝜋

1 cycle per 𝜋

State the phase shift for the function:

right 𝜋

left 3𝜋

left 𝜋

right 3𝜋

State the vertical shift for the function:

Solve for x with x ∈ [0, 2𝜋)

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

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

Given:
Find the exact value of:

Find the exact value of:

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

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

Draggable item		Corresponding Item
		2 Triangles Exist
		No Triangle Exists
		1 Triangle Exists

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

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

286.52

297.83

115.31

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.

Simplify:
Note: Report your answer in factored form.

What is the 14th term of the following sequence:

46

40

43

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

Draggable item		Corresponding Item

What is the sum for the expression:

85

59

48

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

The following series is divergent.

True

False

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

r = 1/4  convergent

r =1 divergent

r = 0 convergent

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

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

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

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

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

State the frequency for the function:

2 cycles per 2𝜋

2 cycles per 𝜋

1 cycle per 2𝜋

1 cycle per 𝜋

State the phase shift for the function:

right 𝜋

left 3𝜋

left 𝜋

right 3𝜋

Solve for x with x ∈ [0, 2𝜋)

0

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

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

2 Triangles Exist

No Triangle Exists

1 Triangle Exists

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

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

286.52

297.83

115.31

What is the 14th term of the following sequence: 

46

40

43

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

What is the sum for the expression: 

85

59

48

The following series is divergent.

True

False

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

r = 1/4  convergent

r =1 divergent

r = 0 convergent

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

Not an answer for any of these.

3

1

f(2) =

3

Does not exist

2

HPreCalc Sem 2 Final Exam C 2023

HPreCalc Sem 2 Final Exam C 2023

Evaluate

Evaluate

State the amplitude for the function:

State the period for the function:

State the vertical shift for the function:

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

Given:Find the exact value of:

Given:Find the exact value of:

Find the exact value of:

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

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.

Simplify: Note: Report your answer in factored form.

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

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

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

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

Evaluate

Evaluate

State the amplitude for the function:

State the period for the function:

State the frequency for the function:

State the phase shift for the function:

State the vertical shift for the function:

Solve for x with x ∈ [0, 2𝜋)

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

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

Given:Find the exact value of:

Given:Find the exact value of:

Find the exact value of:

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

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

Given:Determine the following measures, if possible:Note: Round to the nearest tenth of a degree.

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

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.

Simplify: Note: Report your answer in factored form.

What is the 14th term of the following sequence:

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

What is the sum for the expression:

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

The following series is divergent.

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

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

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

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

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

Given:
Find the exact value of:

Given:
Find the exact value of:

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.

Simplify:
Note: Report your answer in factored form.

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

Given:
Find the exact value of:

Given:
Find the exact value of:

Given:

Determine the following measures, if possible:

Note: Round to the nearest tenth of a degree.

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.

Simplify:
Note: Report your answer in factored form.

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