Find the maximum and minimum values of the function f(x, y) = x²y subject to 5x² + 4y² = 60 Maximum value: Minimum value: Enter DNE if the value does not exist.

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A: The given integral is x2sinx.

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A: we have given

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A: express in summation notation

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Q: S x² sin 2x dx (Integration by Parts) (Ans:-xcos2x + xsin2x + cos2x + C)

A: we have given integration

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A: The solution is shown in step-2

Q: (a) Find the derivative of f (x) = (x² + 5) (8x − 11) by first expanding the polynomials. - Enter…

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Q: If h(x)=√√√5 + 4f(x), where f(2)= 5 and f'(2) = 2, find h'(2). h (2) =

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Q: Use the formula K(t) k(t) : = = ||r'(t) x r"(t)|| 3 ||r' (t)||³ 10t: r(t) = e¹⁰ti + e¯tj to find…

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Q: In the box below, write a polynomial of lowest degree with the following properties: 1) Zero of 5…

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Q: can you try it again? it is wrong. i dont know how you got A. it only needs C

A: The solution is shown in step-2

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Q: find the general solution to the given differential equation. (Remember the constant of integration.…

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test, if applicable.…

A: h(t)=t^2+1/t

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Q: Determine whether the statement is true or false. To solve 5x² = 2x, we can divide by x on both…

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Q: (y+5)² (x-2)² + 25 16 Center: 2. Vertices: Foci: Directrices: = 1 Co-Vertices:

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Q: 23. √² (2x − 3)(4x² + 1) dx 25. (4 sin 0 - 3 cos 0) dº 24. f', t(1 − 1)² dt 2 4 26. ² (²) ² dx .2 X…

A: Given

Q: So which one should I choose?

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Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r'(t)||³ 10t: r(t) = e¹⁰ti + e¯tj е to find к(t).

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Q: Find the general solution of the given higher-order differential equation. y"" + 3y" + 3y' + y = 0…

A: By finding complementary function and particular integral, we can find general solution.

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Q: Sketch the graph of f(x) = 6xe*. A. The domain of fis R. B. The X- and y-intercepts are both 0 x- C.…

A: ,,

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: The given equation is; y=c1cos2x+c2sin2x

Q: (c) f(2)=In(1²e") (d) f(x) = csc(r)

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Q: Find the function f(x): f(x) if we know that f'(x)= x(8x²-9x++) and (1)=8.

A: To find the function if we know that  and .

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Q: Given y = f(u) and u = g(x), find dy dx y = cos u, u = 4x + 5 = f'(g(x))g'(x) : = dy = f'(g(x))g'(x)…

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