2 years ago

Volume

Mathematics

2 answers:

krek1111 [17]2 years ago

6 0

Answer:

be brief can't see any picture

Kay [80]2 years ago

5 0

Answer:

10 5/16

Step-by-step explanation:

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A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

2 years ago

2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a

Mariulka [41]

Answer:

$0.225 \Omega =225 m\Omega$

Step-by-step explanation:

We know (Ohm second law) that $R= \frac{k}{d^2}$ where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= $0.4\cdot9 \Omega mm^2$ . The moment the diameter becomes 8mm R becomes

$R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega$

4 0

2 years ago

Can anyone help me with number 10??

Galina-37 [17]

Answer:

y=−4/3x+10

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to 3x−4y=−2.

4 0

3 years ago

What is the correct equation of the circle with the center (4, 6) and radius 6?

jasenka [17]

I know it's either A B C or D.

6 0

3 years ago

Find the value of y for the given value of x.<br><br> y=2x−3;x=−4

BlackZzzverrR [31]

Y=-11. 2×-4 is -8, and -8-3 is -11.

8 0

2 years ago