A farmer wishes to fence a field bordering a straight stream with 1000m of fencing material.It is not necessary to fence the side bordering the stream.What is the area of the largest rectangular field that can be fenced this way.

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Q: In Problems 43-54, calculate the definite integral, given that 61 x dx = 7.5 xem được ng x² dx = 21…

A: ∫14xdx=7.5  ; ∫14x2dx=21 ; ∫45x2dx=613

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A: I am attaching an image so that you understand each and every step.

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Q: Suppose that f(x, y): = ♫ D and the region D is given by {(x, y) | 2 ≤ x ≤4,3≤ y ≤6}.

A: f( x , y ) = xy2 ≤ x  ≤ 43 ≤  y  ≤ 6

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Q: 31. (1.999) Answer

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Q: termine whether or not the given matrix A is diagonalizable. If it is, find a diagonalizing matrix P…

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Q: The curves sr₁(t) = (t, t², - t5) and 72(t) = (sin( - 2t), sin(-3t), t-T) intersect at the origin.

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Q: 16. If f is even, then f' is even. 17. If f is periodic, then f' is periodic.

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Q: At what points is the function y = x+8 2 x13x + 40 continuous?

A: Note - Function is discontinuous when f( x ) will be undefined or reaches to infinity Given f( x ) =…