RIN Find the linearization L(x,y) of the function f(x,y)=e4x cos (3y) at the points (0,0) and 0₁- The linearization at (0,0) is L(x,y) = Type an exact answer, using it as needed.)

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A: The detailed solution is given below Thank you

Q: Subject: Integral Calculus

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Q: √x³√1-x² 2

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A: Here, note that the function ln1000x grows asymptotically slower than the polynomial x5.

Q: how did you get the final answer??

A: Let's find value of rate of change of slope with respect to x.

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Q: 4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

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A: We have to evaluate the integral. ∫dxa2+x2=1atan-1(xa)+c

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A: This question is based on limits.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: This question is based on limits and L' hospital rule

Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

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A: This question is based on dot product of two vector.

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

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A: To differentiate the functions.

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A: This question is related to rate of change, we will solve it using given information.

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A: Here is the solution:

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