The total distance traveled by the robot from t=0 to t=9 is 1422 units
Integration is a way in which smaller components are brought together in pieces to form a whole. Integration can be used in finding areas, volumes and so on.
Given that the position s(t) at any time t is given by the function:
s(t)=9t²−90t+4
The total distance traveled by the robot from t=0 to t=9 can be gotten by integrating the position function within the limits 0< t < 9
Therefore:
![Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units](https://tex.z-dn.net/?f=Total%5C%20distance%20%3D%20%5Cint%5Climits%5E9_0%20%7Bs%28t%29%20%5C%2C%20dt%20%5C%5C%5C%5CTotal%5C%20distance%20%3D%20%5Cint%5Climits%5E9_0%20%7B%289t%5E2-90t%2B4%29%20%5C%2C%20dt%5C%5C%5C%5CTotal%5C%20distance%20%3D%20%5B3t%5E3-45t%2B4t%5D_0%5E9%5C%5C%5C%5CTotal%5C%20distance%3D-1422%5C%20units)
The total distance is 1422 units
Find out more at: brainly.com/question/22008756
Answer:
I hope it helps u
Step-by-step explanation:
Let's solve your system by elimination.
15j+12k=18;5j+4k=6
Multiply the second equation by -3, then add the equations together.
(15j+12k=18)
−3(5j+4k=6)
Becomes:
15j+12k=18
−15j−12k=−18
Add these equations to eliminate j:
0=0
Answer:
Infinitely many solutions
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Answer:
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Step-by-step explanation:
we know that
The equation of the given parabola is
we have
the vertex is the point (5,-4)
substitute
The y-intercept is the point (0,96)
substitute and solve for a
The equation of the vertical parabola is equal to
Find the x-intercepts
Remember that
The x-intercepts are the values of x when the value of y is equal to zero
For y=0
Simplify
Rewrite
square root both sides
therefore
The x-intercepts are
(x1,y1)=(4,0)
(x2,y2)=(6,0)
Answer: 6 shoelaces
Step-by-step explanation:
Since 1 pair of shoes has 2 shoelaces, 3 x 2 = 6
3 pairs x 2 shoelaces = 6 shoelaces
Hope this helped!
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