(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where

then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,

(b) The velocity after 3 seconds is

(c) The particle is at rest when its velocity is zero:

(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:

In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,

By definition of absolute value, we have

In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as

and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to

Answer:
-34
Step-by-step explanation:
22+n=-12
n=-12-22
n=-34
When you bring a positive constant to the other side of the equal sign it goes negative and vise versa. Then you combine like terms.
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Answer:
I'm not sure what the question was but I've worked out all the three types of trees
Step-by-step explanation:
⅓ + ⅕ = 8/15 because:
×5 ×3
5/15 + 3/15 = 8/15
therefore 7/15 is fig trees
90÷15 =6
6×5 = 30 apple trees
6×3 = 18 lemon trees
6×7 = 42 fig trees
Answer:
Please find attached pdf
Step-by-step explanation:
This is the Internet. It's really easy to look up.