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lara [203]
3 years ago
13

ABE is a triangle. can you use the sss postulate or the sas postulate to prove triangle ABC is congruent to triangle AED?

Mathematics
1 answer:
Luda [366]3 years ago
4 0
The answer is #1 I think Both Apply
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Because I combined the ones with like terms.

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

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

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\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

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