Math Assignment

1.    For numbers 1 & 2. Let c = -3. Find the following. If limit does not exist, state Does Not Exist.

1.   

1.   

2.   

3.   

2.   

1.   

2.   

3.   

For numbers 3 - 5, find the limit as x approaches the given value.

3.   

4.   

5.   

6.    What is the domain of f(x) = 3x - 17

7.    Given f(x) = √3x - 7 find the domain of f(x).

8.    Find the inverse of f(x) =

9.    Solve the system

10.Solve the system

11.Solve the system

12.Given that matrices A and B as follows, find the product of A and B (A * B)

13.Using the Law of Sines, find the remaining sides ad angles.

14.In a triangle where angle B = 31°, angle C = 47°, and side c = 95, Find the length of side a.

15.Using sohcahtoa: If Sin (α) = ¹⁄₂ what is the value of tan(α) ?

16.If you randomly select a card from a deck of 52 cards, what is the probability of drawing heart?

17.An unbiased die is thrown. What is the probability that it will show a number less than 3?

18.Find the 12^th term of the sequence a_n = n(n - 6).

19.Write 8x² - 7y² = 56 in standard form.

20.Find the foci, the vertices and the lengths of the major and minor axes of

Precalculus

Matrices

Please answer the following problems, clearly showing all steps. You MUST use the specified methods for problems 7, 8, and 9. Using a different method will yield ZERO points.

Calculate.  If not possible, put undefined:

Problems 1, 2, 3, 4, 5, and 6 = 5 points each

1.    V + W

2.    3Z

3.    WZ

4.    Determinant of W

5.    YV

6.    W + 4V

Problems 7, 8, and 9 = 10 points each

Use Cramer’s Rule (determinants) to solve.

7.   

8.   

9.    Use the inverse matrix method to solve