Determine wether the following series converge or diverge. State and explain the test you used to determine convergence or divergence. Ž n=0 3n²-n³ n³+1 HINT: Use Limit Test

Q: Problem 4: Let en = 2.4-6 (2n), the product of the first n positive even integers. Use the Ratio…

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A: Given that Now,

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

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Q: 10 Find the absolute min and max values fo interval [-3,5]

A: Explanation of the answer is as follows

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Q: Determine wether the following series converge or diverge. State and explain the test you used to…

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Q: Test the series for convergence or divergence. Σ k = 1 O convergent divergent gk 3k + 7k

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Q: 6 Fig.11.51 shows part of the curve y = 5 + 4x-r². A is the maximum point of the curve. Find (a) the…

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Q: Test the series for convergence or divergence using the Alternating Series Test. DO Σ (-1)" 9n - 5…

A: Alternating Series Test∑n=1∞(−1)nan and ∑n=1∞(−1)n+1an Converge when the three conditions listed…

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Q: If lim fx x-1- all correct answers) 1(₂) lim fx x--1 O ƒ(−1) = 6 None of these are correct 6 and lim…

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Q: Find the global maximum and global minimum of the function f(x) = x²e² on the ellipse x² + 2y² ≤ 6.…

A: To find: The global maximum and global minimum of the function on the ellipse .

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A: Solution is given below.

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A: Solution is given below.

Q: 1.) Give the form of the partial fraction decomposition of the function: 3x5 - 6x +4 x(4x - 2)² (2x²…

A: (3x5(2x2+3)].

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Q: Test the series for convergence or divergence. Σ(...)" O convergent O divergent

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A: To find the distance from the point  to the line

Q: then a 7 d 41 det b 7 e = с 7 f det a b C -4 d -7 -10 e = and 41-41 a det b с d a d e = 3, and det b…

A: given

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A: Solution is given below in step 2.

Q: Solve the recurrence relation an = an = an-1 +2" with ao = 6.

A: The solution is shown in step-2