Evaluate the indefinite integral. (Use C for the constant of integration.) (3-4x) (3 - 4x)¹0 dx

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A: To find the total area of the shaded region.

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A: Green's theorem:

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A: The given expression is

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Q: f(x) = (x² - 4) (x² +9)

A: f(x)=(x2−4)(x2+9)

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Q: 4. Solve the following linear systems. 21 + 2x2 2x1 + x1 (a). - 22 x2 x3 3 + 24 = 4 x4 1 + x3 +

A: The system Ax=b is,The augmented matrix is,The reduced system is,The general solution is,

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Q: 7. [−¹ § 3sª +68³ +7s² +55+2 s² (s+2)(s² +1) 2

A: inverse laplace transformation of the given function

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A: since you have posted multiple questions in this question which are not interlinked so i have solved…

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A: The given plane equation is To find:- The limits of integration

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Q: Find 3838 Əw Əv Əw - Əv y when u = 0, v = 0 if w=x² + −, x=3u - 6v + 1, y = 6u +3v - 3. |u= 0, v = 0…

A: Find

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A: Now, the cylinder's base is,