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2 years ago

The position s(t) of a robot moving along a track at time t is given by s(t)=9t^2−90t+4.

Mathematics

1 answer:

Xelga [282]2 years ago

7 0

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:

$Total\ distance = \int\limits^9_0 {s(t) \, dt \\\\Total\ distance = \int\limits^9_0 {(9t^2-90t+4) \, dt\\\\Total\ distance = [3t^3-45t+4t]_0^9\\\\Total\ distance=-1422\ units$

The total distance is 1422 units

Find out more at: brainly.com/question/22008756

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Angelina_Jolie [31]

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Solution:

Given data:

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General term of the arithmetic sequence.

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Put n = 2 in $a_{n}=a_{n-1}+3$ , we get

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Put n = 3 in $a_{n}=a_{n-1}+3$ , we get

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Put n = 4 in $a_{n}=a_{n-1}+3$ , we get

$a_{4}=a_3+3$

$a_{4}=7+3$

$a_4=10$

Put n = 5 in $a_{n}=a_{n-1}+3$ , we get

$a_{5}=a_4+3$

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$a_5=13$

The first five terms of the sequence are 1, 4, 7, 10, 13.

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3 years ago

What is a coefficient ?

Ahat [919]

A coefficient is a number that is attached to a term.

For example:

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The coefficient of x = -5.

Hope this explains it.

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3 years ago

1. What is 26% written as a decimal?

sattari [20]

Answer:

.26 = 26% hope this helps! :)

Step-by-step explanation:

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you just move the decimal point over 2

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