Let z=f(x,y) = 20x² - 25xy + 16y². Find the following using the formal definition of the partial derivative. dz dz af a. b. dx ду c.(3.1) d. f(-4,-3) ... a.

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A: Application of integration

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A: ∫ un du = un+1n+1+C ∫ cos(ax) dx =sin(ax)a+C

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A: Given, Annual rent=$950,000, interest rate=8%=0.08

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A: linearization

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A: Let's simplify given trigonometric function and then evaluate for ranking.

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A: Since you have posted multipart questions i can do first three subparts as per our company…

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A: By solving differential equation

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A: We have to evaluate the given integral.

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A: This is a problem related to derivative of the function. Based on the general formula and concept we…

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A: Asked questions are solved.

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A: Topic = Matrix

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A: A detailed solution is given below.

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A: We can solve the given question by the help of trigonometry.

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: We need to find value using linear approximation.

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Q: Differentiate Expressions

A: This question can be solved using the concept of differentiation of trigonometric functions.

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A: This is a problem related to vector and derivative of the function. Based on the general formula and…