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qwelly [4]
3 years ago
5

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!}

\mathsf{Determine\ the\ value\ of\ x\ in\ the\ equation\ x+5x=5x+7.}

\mathsf{SIMPLIFY\ both\ sides\ of\ your\ equation}

\mathsf{x+5x=5x+7}

\mathsf{COMBINE\ your\ like\ terms}

\mathsf{(x+5x)=(5x+7)}

\mathsf{The\ RIGHT\ side\ DOES\  NOT\ have\ any\ like\ terms\ so\ we\ can}\\\mathsf{can\ leave\ alone}

\mathsf{x+5x= 6x}

\mathsf{Your\ new\ equation: 6x=5x+7}

\mathsf{SUBTRACT\ by\ 5x\ on\ your\ sides}

\mathsf{6x-5x}\\\mathsf{=}\\\mathsf{7-5x}

\mathsf{SOLVE\ your\ equation\ above\uparrow}

\mathsf{If\ you\ SOLVED\ correctly\ you\ SHOULD\ have\ the\ VALUE\ of\ x}

\boxed{\boxed{\mathsf{Thus\ your\ answer\ is\ x=7}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\dfrac{\frak{LoveYourselfFirst}}{:)}

6 0
3 years ago
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