Test the field f to determine if it's conservative. F=x⁵y⁵z⁵i+x⁵y⁵z⁵j+z⁵k Conservative or not conservative?

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A: Given that the center of ellipse  ,focus  and vertex is

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A: Given, that is A is in quadrant 2.

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A: Given that f be the decreasing function defined by,  where If g is the inverse function of the…

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A: A). B). C).

Q: 25. f(x) = 2x³/5 - x6/5; c= 0.

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A: The given equation of plane is

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A: We have, the given integral as

Q: Given the series: ∞ Σ [ln(2(k + 1)) – In(2k)] k=5 does this series converge or diverge? O diverges…

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Q: A company has total profit function P(x) = -x² +300x - 22331, where is the number of items (or…

A: A company has total profit function ,  where x is the number of items  (or production level).(B) To…

Q: Consider the following. f(x, y) = 8x 9y (a) Find f(7,4) and f(7.1, 4.05) and calculate Az. f(7,4)…

A: Consider the following.(a) To find .(b) By using the total differential   to approximate .

Q: EXPLAIN THE CONVERGENCE OR DIVERGENCE € (-1)" √n n=1 OF SERIES

A: The given series is an alternating series. Here we will use alternating series test to whether it…

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Q: 43. Show that f(x) = x4 - 7x² - 8x - 3 has exactly one cal point c in the interval (2, 3).

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Q: Find the Taylor series for f(x) centered at c. 1 7x f(x) = f(x) = ∞ Σ n = 0 C = 8

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Q: To test this series for convergence ∞ Σ n=1 Vn³ +4 n You could use the Limit Comparison Test,…

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Q: Evaluate the integral by reversing the order of integration. y cos(x²) dady = -0.072

A: To evaluate the following integral by reversing the order of integration.

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Q: Use the Exponential Rule to find the indefinite integral. 1-9e-⁹x dx

A: Given that.     -9e^9x Find that  integrate with respect to x

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Q: A (B (0 A B O The figure above shows the graph of f', the derivative of the function f. At which of…

A: The figure above shows the graph of , the derivative of the function .To determine at which of the…

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Q: (c) Evaluate the integral f(x,y,z)dv where f(x,y,z)=6y+6z and E is the rectangular box E=[-4, 2]…

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Q: Find an equation of the tangent line to f(x) = 4x^3 - 10x at the point (1,-6).

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Q: EVALUATE THE FF: -dx 5x 4.) x2 + 3x-4 C2x+3

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 3. f log4 sec 4x =dx √csc² 4x-1

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