Evaluate (2x – y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 5

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A: A detailed solution is given below

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Q: Determine the area between the functions on the interval [-2, 0]. y = x^2 + 2 and y = 3x + 6 24.67…

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Q: 구. ( 34 Cxtd) ax An 14 X? (X-1)

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Q: Evaluate the definite integral. Sols i + e*j+ t k at O e6 - 1 i+ 6 1 k i- i- (e 6 1 6 2

A: We know that integration of xn is xn+1/n+1. That is power rule of integration.     Here i attached…

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Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

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Q: Evaluate CF dralong the line segment C from P to Q. F= x j; P(3,2), Q(3,8) SCF dr- i

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Q: Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

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Q: dy 1. Find for the following: - dr f. 4x² - 9y² = 36 g. -+-=1 X y ... h. 3x°y+2xy² = 4 i. (3 - 2x) =…

A: f.4x2-9y2=36Differentiate w.r.t.x4×2x-9×2ydydx=08x-18ydydx=08x=18ydydxDivide18y on both…

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Q: Find T(t) and N(t) at the given point. r(t) = 10 cos(t)i + 10 sin(t)j + tk; t = 2 TE) -| 6) =

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Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: Evaluate the integral of the following using Miscellaneous Substitution 3. x /x*+ 1dx

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Q: 2021.10.02 11:01 THe COHHmon Factors of 36 and 54 are1, What I Have Learned In finding the common…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim tto0 2t2 +3' 2t (?,?)

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Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2

A: Explanation of the answer is as follows

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Q: Let T: R - R be a linear transformation such that T(1, 1, 1) = (4, 0, -1), T(0, -1, 2) = (-5, 4,…

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A: Given;  limx--2 (4x2+ax+a+12)/(x2+x-2).

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Q: 4+ 2t + et dt

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