Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer using interval notation.) r(t) = 8+1¹+1 i 8t

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A: Given,

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A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: DERIVE THE FF. FUNCTIONS: y.x(x-) 4x²+ 3x+2 %3D t.

A:

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A:

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A: Explanation of the answer is as follows

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Q: Find and provide a sketch of the domain of the function 2 y2 f(r, y) = 9. 4.

A: Given,  f( x,y)=1−x29−y24 To Find: Domain and sketch of the given function.

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A:

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A:

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A:

Q: Let u = (-8, 1, 2) and Vf(a) = (-9, -5, -3). What is the value of Du[f] (a)? Du [f] (a) = 数字

A: Given: u=-8, 1, 2, ∇fa=-9, -5, -3To find: Dufa

Q: Write the function f(z) = its domain of definition. 1 in the form w= z + 3i u(x, y) + iv(x, y) and…

A: