(H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the general solutions for - dx + (-+) dy = 0 2 x 3 y2 1 y y²

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A: Given problem:- r(t)=cos(πt)i-ln(t)j+√(t-6)k ,t0 =7 find domain of r(t)and r(7)

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A: Given problem:- Sam throws a stone into a river. This caused ripples in the form of concentric…

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A: r1(t)=cos⁡(t)i+sin⁡(t)j+6tk,r2(t)=5i+tk Given:  ddtr1(t)⋅r2(t)=r1(t)⋅dr2dt+dr1dt⋅r2(t) and…

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A: Here we have r→(t)=11cost i +10sint j +10t k  at=π2 The formula for curvature is…

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A: We have to find the value of k(t)

Q: dy cos (x) cos (Y) %3D da O a. 2 In sec (3) +tan (3)| = %3D O b. 4 In sec (3)) + tan (y) %3D

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Q: 8. Evaluate the double integral ry=2x L3) dydz. x=1

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Q: r0.5 .2 X- dx (lerror| < 0.001)

A: Given I = ∫00.5 x3 e-x2 dx =− ( x2 + 1 ) e-x220.50

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A: This question can be solved using the concept of Taylor series centered at a.

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A: Given problem:-

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A: Solving the problem by finding the value.

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A: Topic = Differential equation

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Q: Sy³/y² + 9dy

A: ∫ y3y2+9dyLet u=y2+9=∫u2-9u2du=∫ u4-9u2du=∫ u4du-∫ 9u2du=u55-3u3Substitute back…

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A: Given query is to find the limit of the expression m

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Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

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Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vik NOTE: Enter your answer in terms of i, j, and k.…

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Q: Question 5 Consider the exact first order diff. equ: M(x, y) = 2.xy –3x? N(x, y) = x² - 2y (I):…

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Q: 2x dx e 2X-1

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