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3 years ago

I guess no one is helping anymore?

Mathematics

2 answers:

ryzh [129]3 years ago

8 0

Answer:

I guess so.........................................................

pogonyaev3 years ago

5 0

Answer:

Step-by-step explanation:

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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

a distributor packed 2650 melons in boxes. each box can hold 8 melons. all the boxes are full except for one box. how many full

navik [9.2K]

Answer:

There are 331 boxes of melons.

8 0

3 years ago

Read 2 more answers

What makes the shapes similar?

son4ous [18]

Answer:

The answer is the first option

hope this helps

Step-by-step explanation:

5 0

3 years ago

Can someone help me solve #9!?

yarga [219]

Dy/dx = (4y²)(x⁴/³)

Find ∫(4y²)(x⁴/³) =∫(4y²∛(x⁴)dx = 3∛(x⁴).y² +c or 3x⁴/³.y² + c

4 0

3 years ago

2*2<br><img src="https://tex.z-dn.net/?f=%20%5Ccos%28300%29%20" id="TexFormula1" title=" \cos(300) " alt=" \cos(300) " align="ab

ankoles [38]

Step-by-step explanation:

$\cos(300 \degree) \\ \\ = \cos(360 \degree - 60\degree) \\ \\ = \cos( 60\degree) \\ \\ = \frac{1}{2} \\ \\ \huge \orange{ \boxed{ \therefore \: \cos(300 \degree) = \frac{1}{2} }}$

7 0

3 years ago