1) An ostrich runs along a mountain path with coordinates given by r(t) =< et, e-t,√√2t> ( a) What is the change in the ostrich's altitude (z-direction) from t=0 to t=10? b) What is the ostrich's speed in the x-direction when t=4? c) What is ostrich's speed in the y-direction when t=4?

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A: Consider the vector between (-2,-5, -3) and (5, 10,7).

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A: Use: Pascal's method

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A: given

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A: The solution is given in the next step.

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A: Solution of given question is written in below steps.

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

A: Above question is solved.

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A: Here is the solution

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A: The given integral is;  (2x2+9)/(x4+10x2+25).

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A: Please see the below picture for detailed solution.

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A: See the details solution in below

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A: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

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