The differential equation y" – 4y = e2t has a particular solution of the form y, = u1e + uze“. du1 Find dt

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A: Given f(x)=xTo find derivative of f(x) usingf'(x)=limh→0f(x+h)-f(x)h

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A: Topic = Algebra

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A: We will find the double derivative of f(x)=7/sqrt(x+4)     At (0,7/2)

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A: For derivatives we just apply differentiation both side. 

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Q: ) Find the derivetine of the fnchiog h(x) = I sinhex-7x 4

A: h(x)=74sinh(2x)-7x2Differentiate w.r.t xh'(x)=ddx74sinh2x-7x2h'(x)=ddx74sinh2x-ddx7x2h'(x)=74cosh(2x...

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Q: 14) Determine the distance between the parallel planes: 6z = 4y - 2x; and 9z = 1- 3x + 6y.

A: Given problem:- Determine the distance between the parallel planes: 6z = 4y - 2x and 9z = 1 - 3x + 6...

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Q: x²+3x+2 6. limx0 2x2-1 2+3x 7. limx-00 бх-1 2x2-1 8. limx0 7+3x+5

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A: To consider the inverse trigonometric expression and evaluate it: 

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Q: Find a second-degree polynomial P such that P(1) = 1, P'(1) = 2, and P''(1) = 4.

A: To be found-   A second-degree polynomial P such that P(1) = 1 P'(1) = 2 and P''(1) = 4.

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Q: For the function g(x) = - (x+4)2 +9, find each of the following by referring to the graph. (A) Inter...

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Q: State the value of each of the quantites below. A) limx---> -4^-   F(x)= B) limx---> -4   F(x)= C...

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Q: Q2\3-Functions f and g are defined by f(x) = 1/x + 3x and %3D .g(x) = -1/x + 6x - 4 find (f + g)(x) ...

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Q: Estimate f′(20)f′(20) where f(x)=x3+7x2−16x−10f(x)=x3+7x2−16x−10 to within one decimal place by usin...

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