Use Green's theorem to evaluate the line integral along the given positively oriented curve. ye* dx + 2e* dy, Cis the rectangle with vertices (0, 0), (6, 0), (6, 3), and (0, 3)

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A: This question can be solved by applying the concepts of complex numbers.

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A: let as consider four integers q,r,s,t from 0 to 9 then we get a1=0.qrst=0 now if we select four more…

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A: Solution:  Given that y= tan(x) Now find y'':

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A: For the following series, by using the sequence of partial sums to determine whether the series…

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Q: 3-8 (a) Sketch the plane curve with the given vector equation. (b) Find r'(t). (c) Sketch the…

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Q: Which one is the sum of the geometric series 1 00 n= O 2 O 3 | 2 O Divergent 3/4

A: The sum of an infinite geometric series is given by, Sn=∑n=0∞arn=a1-r if r&lt;1 a is the first term…

Q: 1. How to determine whether the function is continuous or not at a certain point?

A: As per our guideline we are supposed to be answer only one question please repost the other question…

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Q: Integration by Partial E 8. S 4x3—х dx х2—х-30

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Q: 2. Find f(2.6) by interpolating the following table of values. Using Lagrange interpolation. i xi yi…

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

Q: Exercise 1. Express the limit as a definite integral on the given interval a) lim T? cosxi Li=1' Ax,…

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Q: Consider the DE У" - У" — бу %3D0 = e-2x and A) Verify that yı = 5, y2 y3 = ex are solutions of the…

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Q: 2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: Use the General Power Rule to find the derivative of the function. g(x) =    9 − 7x g'(x) =

A: We have to find g'(x) using the general power rule.

Q: Suppose that f(x) is a function with f(120) = 37 and f' (120) = 8. Estimate f(118.5). f(118.5) =

A: answer is in next step

Q: If the limit of the sequence of partial sums of a series converges, so does the series. OTrue False

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Q: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

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