=2) Calculate & ydx + xz² dy - zy³ dz, where c is the circle x² + y² = 4, Z=3 (conterclockwise) hint: F = 2cost + 2Sint j + 3R f. J. JF =SS, (OXT). P. JA

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A: We shall give details in next step.

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A: We have to solve the given problem.

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Q: using Polar tics II, e the card Find the Q3) By using the polar find region enclosed by y = x² and y…

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A: Region B is bounded by the Red Colour graph.

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A: Solution :

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A: We can solve this using given information

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A: Solution :

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

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Q: IV.Let Ω {a,b,c,d,e,f.g) and = {{a.f.g}, {d,e,f}, {b,f}} Construct the minimal sigma-field…

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Q: In formal symbolic logic, show that [P&∼P]⊃Q is a theorem.

A: This is a problem of Logic.

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Q: 6-Assuming that the following fixed-point iteration converges 3 www. + 1/ (+ + ²/2 ) Xk+1 a-√3 c- √5…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: Given curve are y=6−x, y=3 and x=0. We have to find the volume of the solid generated when region R…

Q: (a) Let R be a ring and S a subset of R. What does it mean to say that S is a subring of R?

A: a. S is a subset of R. A non-empty subset S of R is a subring if a, b ∈ S ⇒ a - b, ab ∈ S. A subring…

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Q: Choose the correct statement. (Theorem 3) [A] A is bounded monotonic sequence is convergent. L AB A…

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Q: b) Using the equation 3 sin² x + 7 sin x = cos²x - 4 i) ii) Hence solve, for 0 < x < 360° Show that…

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Q: 7. Sara wants to show that (a × b) × ĉ ‡ â × (6 × č). Yasmina says that it is impossible and comes…

A: This question from vector calculus.

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A: This Problem is solved using concept of Taylor series theorem.

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Q: ==4-x² - y² for which z ≥ 0 with upw= rcle x² + y² = 4 that forms the boundar

A: The Stoke's theorem states that ∫CF·dr=∬S∇×F·dS Where z=gx,y and dS=-gx,-gy,1dxdy.

Q: 23. Every element in Z4 Z8 has order 8. . TRUE ● FALSE An is a normal subgroup of Sn. TRUE FALSE 24.…

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Q: pigeonhole principle

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Q: (c) The figure shows two similar prisms, if the volume of Prism I is 40 cm³, find the volume of…

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Q: [(e* −y) dx + (sin y + x) dy y=1-x² Evaluate the integral c y=x² - 1 bounded by and using Green's…

A: We will find region bounded by given curve to apply Green's theorem

Q: Consider the function v(x, t) that satisfies the PDE vx + 8xvt=0 for x>0 and t> 0, and the initial…

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