Find the area of S, which is the portion of the plane 2x + 3y + 4z = 28 lying above the rectangle 4 < x < 10,2 < y < 7 in xy-plane. (Use symbolic notation and fractions where needed.) area (S) =

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A: a) (7,7,0)b) (15, -5 sqrt(3), 10)Convert rectangular to spherical coordinates.

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A: Note : As you posted multiple sub parts I need to solve only the first three sub parts.

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Q: --윽- 6 8 + 8 9 10 10

A: Alternating Series Test∑n=1∞(−1)nan and ∑n=1∞(−1)n+1anConverge when the three conditions listed…

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A: As we know For polar coversion The given polar equations

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A: The solution is shown in step-2

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Q: If f(x) = 7+ Find f'(x). Find f'(x). 10/8 + 4 x²

A: Given that a function f (x) = 7+ 5/x + 4/x2.  And we find f'(x) and f"(x).

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A: f(x,y) = 2x + 2yr(t) = ( t3)

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Q: [2-2x] = 2 with an & = .01, 6= O this is not the limit O -0.02 O 0.02 O 0.005

A: Let means that for every &gt;0, there exists a &gt;0, for that for every real x,  when ever,

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A: We have to graph the curve

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Q: 2. Evaluate [ F C F = (xz, 0, yz) and the path C is the line segment from point (-1,2,0) to (3,0,1)…

A: Given that, Now,

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Q: 6. Given D(4, 0, 9), E(3, 7, -8), and F(-2, -5, 5), determine a) DF b) |DE+EF| (exact value)

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A: We use the techniques of higher order differential equations to solve the given problem.

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Q: dear eng can u ans quuckly

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A: To find the total area that is enclosed by the cardioid .

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Q: Find are of the polar curve r=14cos(θ) and outside of r=7.

A: Find are of the polar curve r=14cos⁡(θ) and outside of r=7.

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