Determine the volume of the solid obtained by rotating the positive part of the parabola y=-x2+4x-3 around the x-axis.

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A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

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A: To evaluate the following integrals.(1) (2) (3)

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A: Find the (g.f)(33)

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Q: Find the projection of v onto w if v = (-5,-2) and w= (1, -1). * Student can enter max 2000…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let u(x) = sin(x) and v(x) : u'(x) = v'(x) = f' = u'v - uv' v² = x¹6 and f(x) 16 = x = u(x) v(x)

A: Given that   u(x) = sin(x)    v(x) = x16   and f(x) = (u(x))/(v(x))

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Q: Solve the given differential equation by variation of parameters. x²y" - 3xy' + 3y = xª ex

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Q: Let P3 have the inner product given by evaluation at -2, -1, 1, and 2. Let po(t) = 1, p₁ (t) = 2t,…

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Q: Which function is represented by the graph below? 3+ 24 44 --24 -34

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Q: do d at 750 1-(250024 ** √ (06'v] = = = = = دی

A: The solution is shown in step-2

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Q: Starting at point A, a ship sails 18.2 km on a bearing of 188°, then turns and sails 47.9 km on a…

A: Starting at point A, a ship sails 18.2 km on a bearing of 188°, then turns and sails 47.9 km on a…

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Q: Consider the function f(x) = -2x³ + 30x² - 144x + 2.

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Q: Verify the following identity: sin(a+B) + sin(a - B) = 2sinacosß Use the paperclip button be

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Q: Find the exact length of the helix r(t) = (9 cos (+), 9 9 sin (++), 9 3t for -1 < t < 5.

A: given function is we have to find the length.Length is given by ,Here,

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