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3 years ago

The figure is to be rotated 1/4 (90 degrees) turn about point P.

Mathematics

1 answer:

Mariulka [41]3 years ago

7 0

The answer is C. <span>7 units. just turn it to the position of 90 degrees.</span>

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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

(4 6) and (5 0) calculated distance and can I also have the working ? Thx

nataly862011 [7]

Answer:√37

Step-by-step explanation:

Decimal Form: 6.08276253...

3 0

2 years ago

Read 2 more answers

What is 75% of 35 feet?

AleksandrR [38]

Answer:

26.25 feet

Step-by-step explanation:

A percentage is simply a ratio of the whole. If we assume 35 feet to be 100%, or the whole, then we can say the following:

0.75 * 35 == 26.25

Hence, 75% of 35 feet is 26.25 feet.

Cheers.

6 0

3 years ago

I dont get how to do this problem

gladu [14]

1/4 I believe assuming you hit any where inside (as it says) you count each chance you have (each color) and then simply just know that there’s only 1 color you can score points on its 1/3

4 0

3 years ago

Determine the value of x in the equation x+5x=5x+7

12345 [234]

$\text{Hey there!}$