2. y = Vtan x

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A: answer is in next step

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Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

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A: given two matrices are equal. that means, Both matrices have same order, and the corresponding…

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A: To find  The point of the curve y=x^4 is the normal line parallel to 2x+y=3.

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A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

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Q: 9. Differentiate y = /sec³ (5t2)

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Q: 7. Integrate em***)dx_using the Substitution method. x +3

A: To evaluate the given integral using substitution method.

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Q: 4х, th dt Vhat is the

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Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

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A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

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A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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Q: 1. Use Fermat's principle to find the path followed by a light ray if the index of refraction is…

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Q: Solve the nonhomogeneous ODE by variation of parameters. ODE: y" + 4y = cosh 2x

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Q: 3. Stanh3x dx = Jsinh3x, Ssinh3x_ dx %3D u = cosh3x du = %3D

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Q: dy+チ=-

A: Note: Since you  have mentioned multiple question, I answered first problem. If you need answer of…

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Q: find the value in terme of x} Z in Boolkan

A: The given problem is to express the given boolean expression in terms of x and z. Given boolean…

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A: Here we use property of analytic function.

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