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Effectus [21]
3 years ago
15

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 3t^2 + cos(t) and v(0) = 2.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
6 0
\bf \displaystyle a(t)=3t^2+cos(t)\implies \stackrel{velocity}{\int~ [3t^2+cos(t)]dt}\\\\\\ t^3+sin(t)+C=~~~v(t)
\\\\\\
\begin{cases}
v(0)=2\\
v=2\\
t=0
\end{cases}\implies 0^3+sin(0)+C=2\implies C=2
\\\\\\
\boxed{t^3+sin(t)+2=v(t)}
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The Zero Product Property states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. When the product of factors equals zero, one or more of the factors must also equal zero. Once the polynomial is factored, set each factor equal to zero and solve them separately.
3 0
3 years ago
What is -2.6c - 2.8c equal??
Zina [86]

Answer:

-5.4c

Step-by-step explanation:

We're combining two "like" terms here.

It may make the problem easier to visualize if we write one of these terms over the other, as follows:

-2.6c

- 2.8c

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Adding, we get:

-2.6c

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- 5.4c (answer)

3 0
3 years ago
Interpret (1,15)<br><br> interpret (4,60)
statuscvo [17]

Interpreting (1,15) with (4,60), found that (4,60) is 4 times of the coordinate (1,15).

<h3>What are coordinates?</h3>

A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.

For interpreting we have to find the relation between (1,15) and (4,60)

We have, (1,15)

For x- coordinate 1, y- coordinate will be 15

Now,

let us take x- coordinate=2 then y- coordinate =30

again, if x-coordinate = 3 then y-coordinate  = 45

lastly, if the x-coordinate =4 then y-coordinate = 60

That means (4,60) is the 4 times of the coordinate (1,15) i.e., the x-coordinate is 4 times as well as the y- coordinate is 4 times.

Learn more about coordinates here:

brainly.com/question/23450276

#SPJ1

4 0
2 years ago
Which relation is represented by the arrow diagram?
il63 [147K]
I think it talks about if this is a one to one function or not

6 0
3 years ago
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What would be the expression for 1-6 and what is an expression ?
spin [16.1K]
An expression is just like an equation but without the equal sign.
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