Find and sketch the domain of the function: f(x, y) = 25-x² - y² In(xy)

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Q: Thank you so much. The answer is correct. Could you please answer the second question?

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A: According to guidelines we solve only first question.

Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: Evaluate the integral. (Use C for the constant of integration.) 25dx 25 + ex

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Q: /2 31. [/² esc 1 cott dr 33. f'(1 + r)' dr 32. [csc²0 de -S²² ²+1 ds 34.

A: We have to Determine the value of integral.

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Q: 6. f(x) = X a. lim f(x) x-0* b. lim f(x) X-0 c. lim f(x) X-0

A: f(x)=|x|/xFind the limit at 0.Find the right hand limit and left hand limit at 0.

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Q: Given the function h(x) = 3x 1 find the inverse function h¹(x). " 2x - 1'

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Q: Draw the graph of f(x) = 13√-x-2 +2 below.

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Q: detremine a reduced fractions that has this deminam exapnsion  0.313131...

A: The given expression is:

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A: Explaination of the answer is as follows

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Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

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Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

A: We need to first differentiate then solve integration.

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A: In this question , we can change the order of the integration.

Q: Solve the given differential equation by using an appropriate substitution. dy dx -= (x + y + 6)²

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Q: Use the Implicit Function Theorem to find the derivatives: a. Find for the equation x² + y - 4 =…

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Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

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Q: Use cylindrical coordinates to evaluate JJJ z dV, where E is the solid that E lies between the…

A: Solving the problem

Q: - What value of c will make the following function continuous at x = 0? f(x) = x³ tan³ (3x) C x = 0…

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Q: (VI 1 1+t-4 6 tv1+t / 1 t/1+t-4

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Q: 9. Determine the exact point on the line x + 2y = 2 that is closest to (0, 0).

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Q: (3). Find the critical numbers 1/ a) b) f(x)=x²-x²-2x+3 f(x)= x(3-x)¹/3

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Q: find the area of the region Common to the Cardioid r=1+ Cos B & rs 1- Costo

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Q: Evaluate the integral. 8 S² (4+1)" a dt √₁5 (4+10) 8. dt =

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Q: Using cylindrical shell method, find the volume of the solid S: R is the region bounded by x= y²+1…

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Q: Given f(x)= (a) lim f(x) 4-6- (2-3x x 6 (b) find each of the following: lim f(x) x-6+ (c) lim f(x)…

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Q: Calculate the area, in square units, bounded by g(x) = 4x + 8 and f(x) = x² + 19x+62 over the…

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