dx 3xy 10. Find for xy = In (cos x + sin y) by using implicit differenti dx 1. Find dx for y³ + 4x In (2y) = e²y + sin² x by using implicit d dy by usi dx 12. Let y be a function of x. If e²x-3y = In (xy^), find 13. Find dy for 3 In (x³y) -√√2x + y² = 2 by using implicit di dx 14. Find for xy + 3x² = 2 cos (x + y) - e³y by using impl 15. Find for 3 sin (xy) - e2x+y = x² by using implicit differe dy 16. Find for sin (x + y) = x + 3xy by using implicit differ dx 17. Find if y + xy² = x + tan (y + 1) using implicit diff dx 검증

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A: First we will find expansion using general formula and then put the value .

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A: Given:     limx→ -11+1x32x2+x-1

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A: Given vector field F=xz2 i+(1-3xy)j+yz k

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A: Given data÷

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A: This question can be solved using the concept of differential equation.

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A:

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A: follow the procedure given below.

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

A: answer is in next step

Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

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A:

Q: (b) y=x-6, (1, 1)

A: answer is in next step

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A: Given, Cos2θ = 3/5 Formula: Sinθ= √(1-cos2θ) Cos2θ=2cos2θ-1

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A: Solved below

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A: Given: ∫-11ex-1dx

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A:

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Q: 1. Show that F is a conservative vector field and then find a function f such that F = Vf where F(x,…

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Q: Find . DO NOT SIMPLIFY YOUR ANSWERS. 1. log₂ √√2x² 2x² + y) + tan(x² − π²) = sin¯`¹²(x² − 1) + ½ /

A: To find dydx.log32x23+y+tanxπ-πy=sin-1x2-1+π2

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A: Given: Line passing through 0, 0, 4, 4:  y=x    {0≤x≤4}The equation of the curve is y=x-52+3…

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A:

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A: This is a geometric series with r=2x.

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Q: Find the exact value of cos(195°) using the fact that 195⁰ = cos(195⁰) = 225° -30°.

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A: Given,           r1t=4ti+2t2j+5t3k , r2t=t4kTo find : ddtr1t·r2t                ddtr1t×r2t

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: 2. Let f(x)=√(2-x)². Use the local linear approximation of f(x) at xo = 1 to estimate √0.99 (1.01)².

A:

Q: Evaluate the following. √(- -18t² 4 +5t dt t

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A: Given :  D = 2.914 sin(0.017t 1.321) + 12.134

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A: