Use implicit differentiation to find y' and then evaluate y' at the point (4,5). y-8x2 +3=0 y' = %3D y'l(4,5) (Simplify your answer.) %3D

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A: By looking at the series we get that the series is similar to ∑n=1∞1n2. So,                 limn→∞ 5...

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A: Here we have to check the continuity of the given function f(x).

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A: NOTE: Refresh your page if you can't see any equations. . here the given interval is 

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A: Let's find. 

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A: Option B

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Q: Ihe Water Level Was 6m at belining-QFindthe IWater Levet a any Zime QFind the 2ime when the tank emp...

A: This question can be solved by applying the equation of continuity and integration.

Q: Use the Comparison Test to determine if the series 5n cos 2n - n³ + n² + 1 n=1 converges or diverges...

A: Given query is to find series converges or diverges.

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Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd . 

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A: The given problem is solved below in detail.

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Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: I am attaching image so that you understand each and every step.

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Q: 1.5 (0,7, 0.2y f0.7,0.2) O5 ー15 - O.5 0.5 1.5 -0.57 (-1,2,-1) -15 -2

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A: Topic = Integration

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Q: 3. Use the Comparison Test to determine if the series 5n — сos 2n n³ + n² + 1 n=1 Converges or diver...

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Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 22n+2"+1...

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A: The given function,   f(x)=ln x, 0&lt;x≤3