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
Multiply 6 by each number in the matrix:
24, -12, 6
42, 18, 0
The 3rd answer is the correct one.
Answer:
Step-by-step explanation:
First problem. If you want a parallel to a given line, you keep the slope.
Then we use the point-slope form of a line
and we plug in there everything we need.
The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.
At this point we have everything, let's replace and write down the line in a better looking form
Answer:
Independent Variable
Step-by-step explanation: Did a quiz with the same question.
The reason for 2 is simply dividing both sides of the expression in 1 by BE*BD. In 3, angle ABC=DBE because they are vertical angles formed by two intersecting lines (AE and CD). In 3, with these two conditions, we can conclude that the two triangles are similar by SAS.
