1 - Two pieces of furniture move according to the following position functions: x1(t)=0.5t3−5t2+6t+4x1(t)=0.5t3−5t2+6t+4 x2(t)=t2−3t+3x2(t)=t2−3t+3 c) Determine at what instants (t>0) the two rovers intersect (use WolframCloud or another application to solve the equation generated in this item. Code example for WolframCloud below - shift+Enter to execute the code, Enter only skips a line). Demonstrate obtaining the equation in the appendix by hand. d) Present, in one of the annexes, an image of the graph of the two position functions plotted on the same diagram. e) Is the direction of the velocities of the furniture the same or is it opposite in the two instants in which the furniture occupies the same position? demonstrate your reasoning
1 - Two pieces of furniture move according to the following position functions: x1(t)=0.5t3−5t2+6t+4x1(t)=0.5t3−5t2+6t+4 x2(t)=t2−3t+3x2(t)=t2−3t+3
c) Determine at what instants (t>0) the two rovers intersect (use WolframCloud or another application to solve the equation generated in this item. Code example for WolframCloud below - shift+Enter to execute the code, Enter only skips a line). Demonstrate obtaining the equation in the appendix by hand.
d) Present, in one of the annexes, an image of the graph of the two position functions plotted on the same diagram.
e) Is the direction of the velocities of the furniture the same or is it opposite in the two instants in which the furniture occupies the same position? demonstrate your reasoning
![In[1]:= eq = 3 x + 2 == 0
Solve[eq, x]
Out[1]= 2+3 x == 0
2-
{{x+}}
Out[2)=
3.
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