Let f(x, y) = x(y - 3) and F = Vf. If r =< 3-1², 2-t> with 0 ≤ t ≤ 2, then [F. dr is equal to: a. -7 b. -11 c. 11 d. O e. 7 None of these

Q: Evaluate X + Y Ssex R da, where R is given by |x| X + |Y| ≤ 1

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Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: 13. Find the intersection of [x, y, z)=[-8,-3,-5]+[1,2,-1] and [x. v.]=[1.9,4]+s[2,1,7].

A: We can find the intersection of the curve .

Q: F and H are sets of real numbers defined as follows. F={y|y21} H= {y |y>7} Write FUH and FnHusing…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: R2 2 xy² x² + 1 dA, R = [0,2] x [-4,4] R= Find R

A: Step 1:Step 2: Step 3: Step 4:

Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

A:

Q: Evaluate (x – 2y + z) dS. S: z = 8 – x, 0 <x< 8, 0 < y< 7

A: Given I=∬S(x−2y+z)dSS:z=8−x,0≤x≤8,0≤y≤7

Q: 2. Let f(x, y) = (2x – y,x – 2y); (x, y) E R × R, (R is set of real numbers.) a) Show that fis one…

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Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

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Q: Evaluate JIS ₂x+ydV where B is the box determined by ze B 0≤x≤ 1,0 ≤ y ≤ 3, and 0 ≤ z ≤ 5. The value…

A: Here we have to evaluate the volume integral over the given volume region.