i. S 6x ln(3x² + 5) dx

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A: The following is the digital format of the given text.

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A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

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Q: 5. List all critical points of T(0) = sin² 0 - cos 0 for 0 ≤ 0 < 2π.

A: Find all critical points of T(θ)=sin2θ-cosθ for 0≤θ≤2π.

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Q: Sketch the level curve of the function h(x, y) 10+ 9 8 7 6 5 4 3- 2 + -10 9 8 7 6 5 4 3 2 1 + -2 3 4…

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Q: - ƒ(x) = (x² + 3x) (x−¹ − x¯4)

A: ddxx2+3xx-1-x-4

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A: If y=u/v  then y'= (v×u'-u×v')/v2

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Q: 1. Find a particular solution to y" + 4y + 4y= 25 cos(t). Solution yp(t) =

A: As per guideline we can solve maximum one question you can repost other question

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A: Given fx, y=y2arctanx

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Q: Tlake Home part of lest 1. Find the critical values. for f(x) = x² + 4x³+4x²

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Q: x x +4 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Draw the angle 180° in standard position: -5 -4 -3 -2 -1 Clear All Draw: 5+ 4+ 3+ 2+ H -1 -2+ -3+…

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Q: i. sin³ (r) dr dx ii. (tan(x) dx

A: Given query is to find the value of the integral.

Q: 28. (2A + B²)4

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Q: Let f(x) = 5x + 4 and g(x) = 1 x² 12x + 32 — • You must combine all like terms before you submit…

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Q: 20. Evaluate the limit or show that the limit does not exist. Show proper work. sin y cos y ye (a)…

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A: NOTE: Refresh your page if you can't see any equations. . here we have

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the tangent plane to the equation z = - 2x² + y² + 4y at the point (4, 4, 0). 2=

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Q: Evaluate the following integral using trigonometric substitution. 9|N 9 2 0 dx 2 √√81-x² dx 2 √81-x²…

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Q: Find the derivative. 1 y = _x3 + 3x + Væ 2 Ody dx O Ody dx || ip O 32 y=2x2 +3 + 2x 32 || 2 X +3+1/x…

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Q: Answer seems to be wrong

A: Given function:- 8x2-y2-7z=362

Q: 1. Find the Critical values. for f(x) = x² + 4x³+4x²

A: GIVEN :fx=x4+4x3+4x2

Q: What else do you observe? Concept Check: Evaluate the following integrals: ·S 4. 5sin2x cos2x dx…

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