Évaluote the line integral I (xz+y²) ds along curve c defined the by ?(t) =<9-t,2t,-at>

Q: Find the length of the curve r (t) = 3ti + square root of 3t^3 j + 2/3 t^3 k in [0,1]

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. | yex…

A: To evaluate the given line integral along the given positively oriented curve. ∫Cyexdx+2exdy Where C…

Q: kh= •a+h [ath 2xƒ(1) √ √ 1 + (ƒ' (1))² dt 2лf(t).

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Q: aw aw = f(s³ + t²) and f'(x) = e*. Find and at əs Assume that w=f[s]

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Q: Differentiate: y(x) along the curve xy =ex Show all working out.

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Q: 2. Evaluate f (x^²y³ − 2y)dx + (3x + x³y²)dy where is the curve given below oriented in clockwise…

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Q: What is the largest value of the function f (x,y) = x³y³ on the curve x4+ y^= 1? O 2-1/2 0 3√4 01…

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Q: The area of the surface obtained by rotating the curve y = 1<xse about the line x = 32 is ** 12 (32…

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Q: 29. 1 + dx + /2r

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Q: Let C be the curve given by X- Sin/tr) and y=t, from ĭst 55. sin/tT and y=t, from ist E5. Find the…

A: According to Fundamental Theorem of Line Integral, the definite integral of a function is evaluated…

Q: Calculate the line integral [F•dr, where F = 3x°yi + x'j in two cases for C1 and C2. These two…

A: The given vector is F=3x2yi+x3j Here we use Green's theorem. So the Green's theorem is…

Q: val (0

A: Introduction: The formula of the line integral ∫CF.dr, where C is the curve r(t) is given by,…

Q: (x² + y?)3/2' + (x² + y?)3/2J OVer the curve F(t) = (e' cos(t))i+ (e' sin(t))j from the point (1,0)…

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Q: Can you help me Graph the curve parametrized by r(t) =⟨1−3t^2,t⟩, −∞<t<∞

A: The given parametric equation is rt=1-3t2, t. Note that one of the coordinate having degree 2 and…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.