Find the maxima and/or minima of f (x, y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z = 49.

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Q: Find the absolute makimum/minimum values of the function fCx)= x6-x) over the intenval 1Ex<5

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6,3, –5). |(a) Find the volume of…

A: Let's find.

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Q: Let a = ci + jand b = 2i + 10j. Find c so that a and b are orthogona C = i

A: Given: a=ci+j b=2i+10j.

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A: We have to find directional derivatives for the given function.

Q: (-1,3) -2,1) (0,1)

A: Topic = Functions

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Q: Sx*e-2x dx e-2 (2x* + 4x³ + 6x² + 6x + 3) + C 4 A e-2x (2x* + 4x3 + 6x² + 6x + 3) + C B -2x 3 x*…

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Q: 19. (+ 2x 4) dx

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Q: Given that Vf (7, -9) = 11 i – 6j, find the directional derivative of the function f at the point…

A: Given,           ∇f7,-9=11i-6j.            The function f at the point 7,-9 in the direction of…

Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

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Q: b) x = 5 + 4t,y = – 3+ 5t, z = 6 – 4t O (x, y, z) = (4, 5, – 4) + t(5, – 3, 6) ai+ bj + ck = (4i +…

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Q: 10. * S sin(In x)dx 1 C x sin(Inx) – cos(Inx) + C 2. x sin(Inx) – cos(lnx) + C 1 x sin(lnx) +…

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Q: 2 + x? -dx •4 29.

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Q: Problem 7 As blood moves from the heart through the major arteries out to the capillaries and back…

A: As blood moves from the heart through the major arteries out to the capillaries and back through the…