Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx d²y/dx² = = x = t + ln(t),

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A: answer is in next step. please give a like !!!

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A: given y=∫0u9+10t2dtTo find: dydu

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A: We will solve to get required result.

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A: answer is in next step. please give a like!!

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A: Topic = Vector

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A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

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A: The given matrix is;  A= 2 0 3        0 1 4       1 0 1.

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A: answer is in next step. please give a like !!

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A: Use the properties of definite Integral to solve the given integration.

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A: We have to find the directional derivative.

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A: topic:-  derivatives

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A: We will solve.

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A: To evaluate the flux.

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A: To calculate the Taylor polynomials T2 and T3 centered at a=3 for the function fx=x4-3x.

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