4. x t +5 and y = 5-t for 1

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A: Since multiple questions are asked, I am answering first question

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A: topic - derivatives answer is 4

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A: Topic- partial differential

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A: To evaluate the given iterated integral.

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A: Since you have asked multiple questions in a single request so we will be answering only first…

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A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

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A: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

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A: Let's solve given diffrential equation.

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A: Note : "As per our guidelines we will solve only first question . If you want any specific question…

Q: Given Z = ye¯2a + 3y ; where x = ln 2 and -2x y = 2 with possible errors Ax = 0.01 and Ay errors in…

A: Key points required : The absolute error for the function  fx,y is δf=∂f∂xδx + ∂f∂yδy  The…

Q: 4) Find the point of intersection of the solution curves of the following ODES. dy y, y(0) = 1 dx dy…

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Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

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

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A: Let λ=-a2&lt;0 Then, y"+λy=0 ⇒y"-a2y=0 Auxiliary equation is m2-a2=0 ⇒m=±a So, the general solution…

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A: Given, y = 1x-1+1x+1 We have to find  d3ydx3.

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