4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

Q: dz Consider In(4r2 + y?) + sec(9y²) + e²* = tan(xz). Find

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Q: Q3 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: The given function is, y3secx2+y2=cos2x

Q: (y cos x + 2xe)dx + (sin x + x²ey – 1)dy = 0

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Q: dy Find dx - y = sin(3x*) dy %3D dx

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Q: 7 Sin (3x) Sin (5x) dx

A: The objective is to evaluate the integral ∫0xsin(3x)sin(5x)dx Use the trigonometry formula:…

Q: S V sin(y) × cos*(y)dx × cos° 3 х COS

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Q: fx = a(0-sin0) and y = a(1- cos 0), find d and d²y/dx².

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Q: 9. Integrate: Ja (x- 1) cos(x? - 2x) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Integrate the function. (a) / Vx–1dx = %3D (b) /e2+ 2x+1 dx = (c) | (sin xcosx+ sinx cos x) dx =…

A: Hello there! You seem to have uploaded a question with multiple subparts. As per our guidelines, we…

Q: INIL Find in sin (1 + 2x) + xy = ecosy dy dx

A: We need to find derivative.

Q: dy Find dx if y = cos (4x - 3x + 1) s*(4x²-3x + 1)

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Q: 3y?r + sin(2y – 4) = V(2y)

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Q: x2 sin3(x) Find ax if y = In \cos(x*).V1+x,

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Q: (y? cos x – 3x?y – 2x) dx + (2y sin x- x'+ In y) dy = o

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Q: Q3 Find dy/dx on the graph y sec/x+ y? = cos2x at point (1, 2).

A: We have to find dy/dx at (1,2).

Q: Find dy : (a) y = cos(1 Ix + 5x) dx

A: Topic:- calculus

Q: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

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Q: Q3 Find dy/dx on the graph y sec x? + y? = cos2x at point (1, 2).

A: Derivative of implicit function

Q: 4. (2xy – tany)dx + (x² – xsec²y)dy = 0 %3D

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Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…