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: z + 2.5 -3 = Z

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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: tan y dy + In (secy) In (6)sec® de

A: Given data:     The given integral is: . The given integral can be written as, Assume Let…

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Q: consists of y = 4-x and straight line from (-2,0) to (2,0). Sketch the curve C. 64 ans: 3

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Q: Question No.07: f Y=xi+ i work aut V. ) y9+gk and y = |Y),

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Q: 29. 1 + dx + /2r

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Q: 1. (a) Use differentials to find a decimal approximation of V119.

A: Given data is : 11913 Use differentials to find a decimal approximation.

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: 11- Find the moment of inertia about x-axis bounded by the curve y = 6- x² and the line y = x + 1

A: The given information in the question is the curve y=6-x2 and the line y = x + 1. The objective is…

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: 0.8 0.6 0.4 0.2 of -0.2 -0.4 -0.6 0.5 1.5 2 5 A direction field for y'= -(2xy2 + y³) 2.5

A: Given differential equation is: y'=-2xy2+y3. We have to sketch the direction field for the given…

Q: tan x= Sin 2X

A: Given: y'+y tan x= sin2x

Q: Q6: A: If f(x,y)=ycos⁡x+xe^y.find f_x,f_y,f_xx,f_yy,f_xy B: Find the derivative of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: 3:09 AM ...0.1KB/s at 40 < April 8, 2020 22:10 2. At what point on the curve y= 4-3e* +8x is the…

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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…

Q: parametrically

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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.