The table below gives values of f(x, y), the number of milligrams of mosquito larvae per square meter in a swamp. x = 0x = 4 x = 8 y = 0 1 3 y = 5 2 5 8 y= 10 10 15 If x and y are in meters and R is the rectangle 0 < x < 8,0 < y< 10, estimate /R f(x, y)dA. SR f(x, y)dA = mg

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

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Q: A smooth function f : R R has a E R' such that Daf(V f(a)) = 358 Then what is the maximal rate R of…

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Q: Find the domain of the function f(x,y)=arccos(x²+y²-49360). O {{x,v) E R² | x,y € R}. O {(x,y) € R²…

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Q: A function f : R? → R is given by f(x,y) = y² + 2x² – x²y. Find and classify its critical points.

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Q: Let f(x,y)=3x2-2xy+y2-8y  Find the absolute extrema over [0,1]x[0,2].

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Q: Find f, (x,y) and fy (x.y), and explain why f(x,y) has no local extrema. f(x.y) = 8x + 3y + 4. fy…

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Q: Q2 (A) At what points f(x, y, z) in which the function f(x, y, z) = continuous? is

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Q: (d) The function x²+y? Vx2+y? (x, y) # (0,0) f(x, y) (x, y) = (0,0) is continuous at (0,0).

A: Note: according to Bartleby policy we are allowed to write only one question please post remaining…

Q: Let F(x) be an antiderivative of f(x), with F(1) = 20 and * f (x)dx = -7. What is F(4)?

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Q: Find the linear approximation of the given function at (1, 0), and use it to approximate f(1.1,…

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Q: (d) The function x²+y? Vx²+y? (x, y) ± (0,0) f(x, y) = (x, y) = (0,0) is continuous at (0,0).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

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