Suppose de cos 0 sin³0. Answer the following. 6) Separate the differential equation, then integrate both sides.

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A: The objective of the question is evaluate the indefinite integral.

Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

A: ∫t-2t+6t2dtExpand:=∫4t-12t2+1dt=4∫1tdt-12∫1t2dt+∫1dtWe know that ∫tndt=tn+1n+1

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A: Solution of given question is written in below steps.

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Q: 10)  Find the general solution to the differential equation. dy dt = y cos(7t + 2)     please show…

A: To find the general solution of the differential equation.

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A: We can solve the answer as below.

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A: To check if the plane passes through each point we have to put the points and check if equation…

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A: answer is in next step.

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A: The objective of the question is determine the general circle equation ,centre and radius.