(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:
your answer is b bud... your welcome....
Step-by-step explanation:
just took the test
Answer:
x = 12
Step-by-step explanation:
Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.
3x + 6x - 18 = 90
~Simplify
9x - 18 = 90
~Add 18 to both sides
9x = 108
~Divide 9 to both sides
x = 12
Best of Luck!
Find the unit rate
do 2597÷21
Answer: 124 strikeouts per year
5x-y10 We're basically just multiplying the 5 by x and the y by 5 and -2.
(5/x= 5x) + (y/-2/-5)