F. dr, where C is the ellipse (x + 3)² + 5(y – 2)² = 16 and F(x, y, z) = x²i+ %3D Pj+ z°k.

Q: (a) Express the mass M of a thin wire in 3-space as a line integral. (b) Express the length of a…

A: a) The objective is to express the mass M of a thin wire in 3-space as a line integral. The mass of…

Q: Evaluate the line integral -ydx + xdy along the curve C C : y? = 24x from (24, 24) to (0,0). NOTE:…

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Q: Evaluate the integral using FTC I.

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Q: r? + I dx

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Evaluate the line integral x¹ z ds, where C is the line segment from (0, 7, 5) to (7, 1, 2). C

A: We have to evaluate  where  is the line segment from  to

Q: Sketch the domain and express as an iterated integral in the opposite order. *, f(x, y) dxdy

A: Change of order of integration.

Q: Find the maximum value of ƒ(x, y) = x²y6 for x, y ≥ 0 on the unit circle. fmax =

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Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

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Q: 3. Suppose we know that the graph below is the graph of the right-hand side f(y) of the differential…

A: Given: The graph of the right-hand side f(y) of the differential equation dydt=fy: To draw the…

Q: Without evaluating the integral, show that √ √ 2 ² 4+1 4₂ | 15 | 1/2 dz where C is the line segment…

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Q: Evaluate the line integral x'z ds, where C is the line segment from (0, 5, 2) to (4, 6, 5).

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Q: Set up the line integral ∫c x2z ds, where c is the line segment from (1, 6, -1) to (- 4, 1, 5). (No…

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Q: use the Fundamental Theorem of line Integrals to evaluate F. dR, where F (*.y) = < y. - X and C is…

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Q: If F(x, y, z) = 10yzi + 10xzj + 10xyk, find div F and curl F. div F =

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Q: Evaluate the curl: V x (yz³, x³z, ry³) =??? 3

A: In this question we will use basic of calculus i.e concept of vector calculus. First we will simply…

Q: In whatever way you see fit, evaluate the line integral L(10xy-3y+21x dx+ (15xy=+6xyz*)dy+ (15xy='…

A: given line integral ∫c10xy3z3+3y2z3+21x2z2dx+15x2y2z3+6xyz3dy+15x2y3z2+9xy2z2+14x3zdz   ...i…

Q: Let C₁ be a straight line in the Argand plane from (0, 0) to (3, 3), and let C₂ be the path…

A: We have to calculate the following integrals i∫C1z2dz  and ii∫C2z2dz where C1 and C2 are given…

Q: Find an integrating factor to obtain the integral curve of (2ау — 16х) da + dy 3 0 that pass -…

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Q: Sc xe¹zdS, C is the line segment from (0,0,0) to (1, 2, 3)

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Q: Evaluate the integral using FTC I.

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Q: x ds, where C is the portion of the parabola from (0,0) to (1, 1), followed by the line segment from…

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Q: A sequence is defined by the relationship r[n] == Ỹ h{m}h[n + m} = h{n} » h{_n], ma-00 where h[n] is…

A: As per the question we are given a discrete output sequence as : r[n] = (4/3)(1/2)n u[n] + (4/3)2n…