1. If z = f(x, y) has continuous second-order partial derivatives and x = r cos 0, y = r sin 0, find: a) Əz/ər b)a²z/ar². Carefully Justify your work..

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A: To solve the given equation.

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Q: ∫12v (7+6v2)9 dv Evaluate indefinite anti-differentiation

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Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

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Q: Recall that the Maclauren series expansion for f(x) is given by f(n) (0) r. Find the Maclauren…

A: The function is given by fx = ex Tp evaluate: The Maclauren series of the function fx.

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Q: Verify Green's Theorem by evaluating both integrals ƏN [ 1² dx + 2² dy - [ ] (™N - OM) a dA ax ду…

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Q: хр. e X О

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: d3ydx3-d2ydx2-dydx+y=0                (1)LetD=ddxTherefore   equation (1)…

Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4. The Bernoulli's form of the differential equation x²dy + (2xy-y³)dx=0 is

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Q: 3. Determine whether each geometric series converges. If the series 7n+1 2n converges, find the sum.…

A: Let's find.

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A: Solution is given below:

Q: Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B…

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Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: Two years ago, $5, 000.00 was placed into an investment in which the amount of money present, P,…

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Q: S sin (3x) 1+cos² (3x) dx

A: The detailed solution is given below Thank you