36x'y + 42x1– 24x2y ,3,,3

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: 2 dydx + f(x, y)dydx

A:

Q: 6. Parallel to the line Y = = -}(x – 100) – 99, 3 4 passing through (1, 3)

A: Given query is to find the equation of the line passing through (1,3) and parallel to the line…

Q: Integrate: ∫sec^(3)2xdx

A:

Q: max value for y

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Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

A:

Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: STANIS 3, 4x+5 dx = 5.5. tdt (2+²-3j³/2₂ 6. Ss in ³2x cos2xdx

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: 9-x² dydx. 2

A: x = 0 r cos θ = 0 θ = π2 x = 322 r cos θ = 322 r = 322 sec θ   y = x r sin θ = r cos θ θ =…

Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

Q: Solve using variation OF patometert O reductian OF order CD-+)y= secx csc x csc X

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Q: 5 Find xy dydx.

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Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

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Q: Find dy of Using first principles

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Q: r(10,3,3) dx (1,1,1) dy dz. - -

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Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: x3sec2y dy/dx+3x2tan y=cos

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

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Q: 7,9,-4) y dx +x dy +3 dz = (5,4,1)

A:

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: Evaluate f, f,(1-2) L(-dy dx dz

A:

Q: 1-E-, find x, y from エ+y 4. 3 3.

A: given two matrices are equal. that means, Both matrices have same order, and the corresponding…

Q: Differentiate dy- dy

A:

Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

A:

Q: Solves dy

A: It is given differential equation is dydx-2x=2xy2. dydx=2xy2+2xdydx=2x1+y2dy1+y2=2xdx Integrate on…

Q: sin(6y) sin(8y) dy.

A: Topic - integration

Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: Find 2. dy of 2.

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Q: Еxample 5 1 1- Vxdx ха 0,

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Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: Find dy of

A: Use the chain rule of differentiation and simplifie the result.

Q: Integrate: dz V2x + 3

A: We have to find

Q: (1-) ex, 4. S ex 2dx

A:

Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: Find 2 at the point (4,1,6) for -6x² + 7 ln xz + 4yz² – 2e? = 0 %3D

A:

Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: 3. Stanh3x dx = Jsinh3x, Ssinh3x_ dx %3D u = cosh3x du = %3D

A:

Q: dy dx 118 (x = 3x - 5

A: Topic:- differential equations

Q: ential equation is given by

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Q: dy+チ=-

A: Note: Since you  have mentioned multiple question, I answered first problem. If you need answer of…

Q: 4. Find derivatice y 4=In (x 3-4x²+1)

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Q: ength of the curve 1 1 < x < 2. 6 10x3 +

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Q: 2olue dy %3D

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Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: i Explain. Reducible the working procedure of Equation to Homogencous. form.

A: Given: Procedure of equation Reducible to Homogeneous form.

Q: Find the area bounded by the curve 4 square units 8 square units 16 square units 10 square units =…

A: