Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² + 3y² + 4y = 8; II dx dt 1 when x=3 and y = -1; find (Simplify your answer.) | dt

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Q: Q/. Find the limit of the function * lim 4-√x²³+7 3 X

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Q: 8. Solve the ff DE y" -9y = 0 y = c₁e³x + c₂e-3x y = c₁ cos 3x + c₂ sin 3x y = ³x (c₁ cos 3x + c₂…

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Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: Find the general solution of the following differential equation. 64y" + 16y' + y = 0 NOTE: Use c₁…

A: The given differential equation,     64y''+16y'+y=0

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A: Given, f(x)=(3x3+3x2-4)x2

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Q: I can't seem to understand the solution. Can someone write it down?

A: An inner city revitalization zone is a rectangle that is twice as long as it is wide. A diagonal…

Q: 2.) Determine whether the following series is convergent or divergent using The Limit Comparison…

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Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

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Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration

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Q: 19. Water is leaking out of an inverted conical tank at a rate of 10,000 cm³/min at the same time…

A: I am attaching image so that you understand each and every step.

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Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

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Q: DIFFERENTIAL

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Q: 1. Show that u(x,t)= etsin kx satisfies the partial differential equation_u₁ = α² uxx

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A: (a) Given that, the function is fx=x+1                x≤2x+5          2< x≤4. Obtain the value of…