d²fa²f a) Show that the following function satisfies Laplace's equation + Əx² dy² f(x, y) = e* sin y + e' cos x = 0:

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A: To identify whether the following differential equation is exact or non-exact.

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A: By using Trigonometric identities to prove the given trigonometric identity.Note: Since the student…

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A: principle amount = $284,853interest (r)= 0.04608time (T)= 30 yearsnt= 12*30=360 monthsr/n=0.00384

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A: To determine whether the following series converges or diverges.

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A: To find the linearization of g(x,y)=tan−1⁡(xy2) at the point (1,1), we willl use the formula for the…

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A: Here we have, h=2 (Height of the Parallelogram)b=8 (Base of the Parallelogram)

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Q: □ 1. Select the Cartesian form of the parametric curve defined by x = 6 cost, y = 6 sint. - 3² 1 6 6…

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A: If  is an invertible function, then its inverse is given by .

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A: The given function is; h(x)=x3

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Q: = z² + 5. Below is the graph of y= 401 30 U 20 10 -3-2-1 0 1 2 3 4 5 6 The area bounded by y = z² +5…

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A: The Gonzales family and the Brown family each used their sprinklers last summer. The water output…

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A: The graph of g(x) passes through the following points:(−2, 0),(−1.5, 1),(−1, 1.5), (−0.5, 1), (0,0),…

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A: As we know that When particle change its direction , at that point the velocity of the particle will…

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Q: π.χ. COS(TEX) 3 f(x) = 7 cos

A: f(x)=7cos⁡(πx3)

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Q: 2 Evaluate the following limits: e2x-e-2x 0 In(x+1) (a) lim (b) lim 1-In() 2-1+

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A: Let To find .

Q: Use the Ratio Test to determine whether the series is convergent or divergent. k=1 k!

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Q: Evalute (2) da ₂ z(ln z)³ 01 O 1/2 O Divergent None of the above

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