2 years ago

Which line has a slope of -1/2?

Mathematics

1 answer:

velikii [3]2 years ago

8 0

Answer:

Line C

Step-by-step explanation:

You might be interested in

Evaluate the line integral, where c is the given curve. c y3 ds,<br> c.x = t3, y = t, 0 ≤ t ≤ 4

vivado [14]

The path $C$ is parameterized by

$\mathbf r(t)=\langle x(t),y(t)\rangle=\langle t^3,t\rangle$

with $0\le t\le4$ .

We have

$\dfrac{\mathrm d\mathbf r}{\mathrm dt}=\langle3t^2,1\rangle$
$\left\|\dfrac{\mathrm d\mathbf r}{\mathrm dt}\right\|=\sqrt{9t^4+1}$

So the line integral is

$\displaystyle\int_Cy^3\,\mathrm dS=\int_{t=0}^{t=4}t^3\sqrt{9t^4+1}\,\mathrm dt$

Substitute $u=9t^4+1$ , so that $\mathrm du=36t^3\,\mathrm dt$ .

$=\displaystyle\frac1{36}\int_{u=1}^{u=2305}\sqrt u\,\mathrm du$
$=\dfrac{2305^{3/2}-1}{54}$
$\approx2049.31$

3 0

3 years ago

Which figure below is a translation of this diagram?

Leona [35]

B is a translation, which is moving.

A is a rotation, and C is a reflection over the x-axis.

5 0

2 years ago

For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include

Mars2501 [29]

The common ration is 12/ -4 = -3

the explicit term is (-4)* -3^(n-1)
so the 5th term is -4*-3^4 = -324

Im a bit hazy about the recursive formula

i think its a(n+1) = an * -3

4 0

3 years ago

What is the Square root of 176400?

scoray [572]

Answer:

420

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is an equation for the number of $0.60 bagels that can be purchased with d dollars

r-ruslan [8.4K]