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Q: 3. Solve (3x + y)dx + (x+2y)dy = 0

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Q: a) x2+5x-14 x²+8x+7 + x²-4x+4 3x²-6x

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Q: fum of a cide wing Voled vp TH A dx TRIGONOMBTC SUTION Ja-yX-4 dx-aast de Ja². (asing)" (acest do)…

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Q: 9. Calculus - Taylor Expansion If f(x) = 1/x, what is the leading coefficient of the 12th Taylor…

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A: The objective of this question is to find the indefinite integral of the function g(x) = e^(2x)…

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Q: 11. A farmer wants to fence off a rectangular plot of ground with area 3000 ft² and divide the plot…

A: A farmer wants to fence off a rectangular plot of ground with area 3000 ft2 and divide the plot into…

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A: We need to find out the integral that gives volume of the solid bounded above by the surface and…

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Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t², y = 4t³, 0≤t≤1…

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Q: Find the area of the region that lies above the x-axis, below the curve x = =t² + 5t+3, y = e with 0…

A: Given that the region that lies above the x axis, below the curve  with

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Q: (−1)n n²zn n! Consider the series (-1)” n=1

A: ∑n=1∞(−1)nn23nn!Ratio TestL=limn→∞|an+1an|Where an is the nth term of the series.If L<1, the…

Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: 8. Use the method of substitution to evaluate each of the following general antiderivatives 6x² (a)…

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Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A: Since the subparts a,b and c of question 1 have been answered i suppose you want the answer for part…

Q: rem for Integrals Find or approximate all nction equals its average value on the given 4] 40. f(x) =…

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

Q: 3. If y = esin, find dy.

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A: To solve the following triangle.

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A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: Below is the graphs of fox & gcx), & their tangent lines at x=2. fy=1.8(x-2) 9 9= ²/3 (x-2) a) lim…

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A: The given equation is

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Q: 5. Find an asymptotic expansion for as x+∞. Cπ/2 o -x tan² t dt e

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Q: Find the point on the curve e +x where the tangent is parallel to the line y = x.

A: The given equation of the curve is  and the equation of the tangent line is

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Q: Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction starts.…

A: Given that Let W = f(u) be the temperature, in °C, of a chemical reaction u hours after the reaction…

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A: Given that the function

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A: To write the equation of the following graph.