- •1. Simplify the expression
- •2. Factor the expression into a product
- •IV. Разложить на простые дроби рациональную дробь:
- •5. Solve equation symbolically. If symbolical solution cannot be found solve it numerically
- •6. Solve the system of equations
- •7. Solve the system of equations graphically
- •9. Build 3d surface. Use corresponding axes scale. Use colormap, lighting and choose the best view.
- •14. Complete and solve differential equation for the next problem.
- •15.The dependence between y (Electric current) and X (Voltage) is given as a table.
- •19. Build the function that models the signal from the table. Calculate the Fourier spectrum of the signal. Build the approximation of the signal using 4 non-zero harmonics
- •The report for homework must be done as ms PowerPoint presentation
IV. Разложить на простые дроби рациональную дробь:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
3. Build the table of values for the function у=f(x) or =f() on the range for x є [-10;10], or є[0;2].
Build the graph in Dekart rectangular (у=f(x)) or polar (=f()) coordinate system
1. |
y=|x2–9| |
11. |
|
2. |
y=||x|–1| |
12. |
|
3. |
|
13. |
|
4. |
y=x3–3x2+3x–9 |
14. |
y=sin(x2) |
5. |
y=e|x+2| |
15. |
|
6. |
= |
16. |
cos(0.5) |
7. |
cos() |
17. |
cos() |
8. |
cos(5) |
18. |
cos() |
9. |
|
19. |
|
10. |
|
20. |
cos2() |
4. Solve graphically the equation y(x) = 1 or ()=1
1. |
= |
11. |
cos(0.5) |
2. |
cos() |
12. |
cos() |
3. |
cos(5) |
13. |
cos() |
4. |
|
14. |
|
5. |
|
15. |
cos2() |
6. |
y=|x2–9| |
16. |
|
7. |
y=||x|–1| |
17. |
|
8. |
|
18. |
|
9. |
y=x3–3x2+3x–9 |
19. |
y=sin(x2) |
10. |
y=e|x+2| |
20. |
|
5. Solve equation symbolically. If symbolical solution cannot be found solve it numerically
1. |
|
|
11. |
|
2. |
|
|
12. |
|
3. |
|
|
13. |
|
4. |
|
|
14. |
|
5. |
|
|
15. |
|
6. |
|
|
16. |
|
7. |
|
|
17. |
|
8. |
|
|
18. |
|
9. |
|
|
19. |
|
10. |
|
|
20. |
|
