Pregunta: 3. The position of a projectile launched with initial speed vo and initial angle ẞ is given by the equations x(i) = vot cosẞ, y(t) = vol sin ẞ- gt² where g = 9.81 VO = 162 m/s, B =70° a) Calculate the path x,y for time t starting at zero to time of flight tv where tv = 2 vo sin B b) Create a y vs x graph titled Projectile Path c) Calculate the polar

3. The position of a projectile launched with initial speed vo and initial angle ẞ is given by the equations x(i) = vot cosẞ, y(t) = vol sin ẞ- gt² where g = 9.81 VO = 162 m/s, B =70°

a) Calculate the path x,y for time t starting at zero to time of flight tv where tv = 2 vo sin B

b) Create a y vs x graph titled Projectile Path

c) Calculate the polar coordinates for this trajectory such that: r(t) = ℗ = tan¯¹( ——) . Do NOT display these results on the screen.

d) Show the graph in polar coordinates.

4. For each statement, write the reason that defends it For a matrix random A and another matnz B both of size 3x2

a) Is AB equal to B A true or false and why

b) AB equal to B A true or false and why

c) Write the correct way to multiply A and B in matrix form and justify your response 5 Solve the system of equations 4x + 3yz=-82 5x+6y-2z=-48.8 2x-5y-45z-925

5. Solve the system of equations

4x + 3yz=-82

5x+6y-2z=-48.8

2x-5y-45z-925

6. Create the graph that is composed of two functions in the same figure such that it shows for 0 t≤ 2π, y versus x & v versus u given the equations:

x= cos (1), y = sin³ (1)

u = sin(t), v = cos(1)

vectors will not be printed.

7. Create the graph that forms a smooth pretzel for pvs q given 4sts4 Where q= (3.3-0.41) sin(t); p=(25-0.312) cos(t); vectors will not be printed.

8. Present the graphs from part 6 and 7 on the same screen with the three graphs apart using the subplot command​​​​​​​