Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x) sin(x) + cos(x) 1 cos(x) sin(x) + cos(x) sin(x) + cos(x) sin(x) = = (sin(x) + cos(x)) = cos(x) sin(x) cos(x) sin(x) + cos(x)

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A: Follow the procedure given below.

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A: Follow the procedure given below.

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A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

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A: To find the absolute maximum and minimum.

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A: given differential equation 5y''-24y'-5y=6

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A: See this solution in below

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A: We can find the gradient as below.

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A: Let's solve.

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A: The given differential equation is;  y''-8y'+16y=12x+6.

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A: We have to find the convergence test

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A: Given:         y'' - 8y' +16y = 12x+6

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

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A: As per the rules we are supposed to answer the first question and rest can be reposted.

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A: *Differential equation model :- Newton's Law of heating.

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