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butalik [34]
3 years ago
12

HI PLEASE HELP ME WITH MY CALCULUS 1 HW? I AM REALLY STUCK. I need help with parts d,e,g.

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when t=0 and t=3, and because the velocity function is continuous, you need only check the sign of v(t) for values on the intervals (0, 3) and (3, 6).

We have, for instance v(1)\approx-0.91 and v(4)\approx0.91>0, which means the particle is moving the positive direction for 3, or the interval (3, 6).

(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

\displaystyle\int_0^6|v(t)|\,\mathrm dt=\int_0^3-v(t)\,\mathrm dt+\int_3^6v(t)\,\mathrm dt

which follows from the definition of absolute value. In particular, if x is negative, then |x|=-x.

The total distance traveled is then 4 ft.

(g) Acceleration is the rate of change of velocity, so a(t) is the derivative of v(t):

a(t)=v'(t)=-\dfrac{\pi^2}9\cos\left(\dfrac{\pi t}3\right)

Compute the acceleration at t=4 seconds:

a(t)=\dfrac{\pi^2}{18}\dfrac{\rm ft}{\mathrm s^2}

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)

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if 35 people enter each minute then it should be multiplied by the number of minutes
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Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings: f(1)
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1. We use the recursive formula to make the table of values:
f(1) = 35
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f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175

2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.

3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.

4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
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Since equation #2 is already given for y = SOMETHING, we take that something and put it into "y" of the 1st equation. Shown below:

x+y=5\\x+(x-9)=5\\x+x-9=5\\2x=5+9\\2x=14\\x=\frac{14}{2}\\x=7

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ASAP answer please!!!!!!!!!!!
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<h2>angle in triangle</h2>

because the triangle above is an isosceles triangle, then both angles are of the same value.

and one thing you should know, the angle above shows the straight angle.

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<u>can be written like </u><u>this</u><u> </u><u>:</u>

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