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2 years ago

URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!

Mathematics

1 answer:

worty [1.4K]2 years ago

5 0

Answer:

1663

Step-by-step explanation:

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Brainliest for correct answer

Mashutka [201]

Answer:

one third of the volume

Step-by-step explanation:

5 0

3 years ago

Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

$\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt$

$=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k$

The first integral is trivial since $(\tan t)'=\sec^2t$ .

The second can be done by substituting $u=t^2-1$ :

$u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C$

The third can be found by integrating by parts:

$u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t$

$\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8$

$\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C$

8 0

3 years ago

What is the range of this function

Sati [7]

Answer:

B) {-8, -3, 5, 7}

Step-by-step explanation:

Range is a list of y values

= {-8, -3, 5, 7}

6 0

2 years ago

Read 2 more answers

Steve is driving from Las Vegas, Nevada to San Diego, California. The drive is 331 miles, how fast will he have to drive to get

Marrrta [24]

Divide 331 by 4.5
331/4.5= 73.555555555555 so you can round to 73.6 mph

5 0

3 years ago

Read 2 more answers

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of \$200$200dollar sign, 200 a month and a

Thepotemich [5.8K]

Floyd's contract consists of
(i) $200 per month fixed.
(i) $12 per album sold.

Let x = number of albums sold last month.
Because total earnings is $644, therefore
200 + 12x = 644

To find x, do the following:
Subtract 200 from each side.
12x = 644 - 200 = 444
Divide each side by 12.
x = 444/12 = 37

Answer:
The equation is 12x + 200 = 644.
The solution for x (number of albums sold) is 37.

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3 years ago