1. For numbers 1 & 2. Let c = -3. Find the following. If limit does not exist, state Does Not Exist.
1. .0/msohtmlclip1/01/clip_image001.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_1a.png”>
1. .0/msohtmlclip1/01/clip_image002.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_1b.png”>
2. .0/msohtmlclip1/01/clip_image003.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_1c.png”>
3. .0/msohtmlclip1/01/clip_image004.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_1d.png”>
2. .0/msohtmlclip1/01/clip_image005.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_2a.png”>
1. .0/msohtmlclip1/01/clip_image006.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_2b.png”>
2. .0/msohtmlclip1/01/clip_image007.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_2c.png”>
3. .0/msohtmlclip1/01/clip_image008.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_2d.png”>
For numbers 3 – 5, find the limit as x approaches the given value.
3. .0/msohtmlclip1/01/clip_image009.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_3a.png”>
4. .0/msohtmlclip1/01/clip_image010.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_4a.png”>
5. .0/msohtmlclip1/01/clip_image011.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_5a.png”>
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) =.0/msohtmlclip1/01/clip_image012.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_8a.png”>
9. Solve the system
.0/msohtmlclip1/01/clip_image013.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_9a.png”>
10.Solve the system
.0/msohtmlclip1/01/clip_image014.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_10a.png”>
11.Solve the system
.0/msohtmlclip1/01/clip_image015.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_11a.png”>
12.Given that matrices A and B as follows, find the product of A and B (A * B)
.0/msohtmlclip1/01/clip_image016.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_12a.png”>
13.Using the Law of Sines, find the remaining sides ad angles.
.0/msohtmlclip1/01/clip_image017.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_13a.png”>
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 (?) = 1?2 what is the value of tan(?) ?
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 12th term of the sequence an = n(n – 6).
19.Write 8×2 – 7y2 = 56 in standard form.
20.Find the foci, the vertices and the lengths of the major and minor axes of.0/msohtmlclip1/01/clip_image018.png” alt=”https://content.grantham.edu/at/MA141/Week8/W8_Final_20a.png”>
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.
.0/msohtmlclip1/01/clip_image019.png” alt=”https://content.grantham.edu/at/MA141/Week3/W3_Assignment_1a.png”>
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 Cramers Rule (determinants) to solve.
7. .0/msohtmlclip1/01/clip_image020.png” alt=”https://content.grantham.edu/at/MA141/Week3/W3_Assignment_1b.png”>
8. .0/msohtmlclip1/01/clip_image021.png” alt=”https://content.grantham.edu/at/MA141/Week3/W3_Assignment_1c.png”>
9. Use the inverse matrix method to solve
.0/msohtmlclip1/01/clip_image022.png” alt=”https://content.grantham.edu/at/MA141/Week3/W3_Assignment_1d.png”>