Find dy/dx of 10x - 18xy2+10y3 = 48 9y-20x 3 (бу? -5ху) dy !! dx 9y-20x dy 3 (буз - 5ху) %3D dx dy 9y-20x !! dx 3(5у? - 6ху) 9y-20x 3(5y2-6xy) dy !! dx dy 20y2 -9x3 dx 3(5y² -6xy) 9y² -20x (5y² –6xy) dy %3D dx 9y² -20x (5y²-6xy) dy %3D dx

Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

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: Compute dy / dx and d2y / dx2              x 2 - 4y 2 = 8

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: 5 Find xy dydx. 4

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Q: 2-x 4x + 4x - -m(4x* + 4x – 3) + In| (2x 2x- – 3 x +1 x(x + 3)(x + 2)(x – 1) 1 (x + 3)*(x – 1)ª I…

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Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: Find dy if y2T+4+ In(x+2)= xy3 dx y - 2Vx+4 2yvx+4 -3xy 2x+4 2yvx+ 4 y -2 2yvx +4 - 3xy- Vx +4 2yvx…

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Q: Calculate  d2y dx2 y =  −  5 x2  d2y dx2 =

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Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: 7. (2x + 3y)dx + (3x + 2)dy = 0 When: x = 3, y = 2

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Q: Find dy. y = x/9x - 7 27x - 14 dx 9x -7 27x - 14 dx 29x -7 O 27x+ 14. dx 2/9x -7 27x + 14 dx V9x -7

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Q: Find dy/dx if y =3x2/3− 4x1/2 −2

A: Here given as

Q: 4. 5. (3t dt)/((t² + 3)) dx/ (3x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

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Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

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Q: 2x+2 dx. 5. x2-2x+1 dy 6. 5. if y = (1+ x²)etan-1x

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Q: Evaluate the integrals

A: The given integration is: ∫03∫09-x2∫09-x2 dz dy dx Here first to solve the inside integration with…

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: find dy/dx 3x² +5y'x² +4/y, a) x² +4x,/y-5y² = 3 (ans.: 2x 10x'y- Jy

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Q: Find dy/dx if y = 3x® – 2x³ + 6x + 1.

A: Solution

Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

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Q: 1. (2x – 3y) dx + (2y – 3x) dy = 0 - -

A: According to our guidelines we can answer only three subparts of a question, or first question and…

Q: Find dy/dx.  X4y1/3 + e7x - y = (x3 - 11)6

A: X4y1/3 + e7x - y = (x3 - 11)6  dy/dx = ?

Q: 7. Integrate em***)dx_using the Substitution method. x +3

A: To evaluate the given integral using substitution method.

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: (2,5, – 6) | 16x dx + 4y dy + 2z dz (0,0,0)

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Q: Solve for dy/dx. y=((5x-3)/(4-3x))^-3

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Q: (2x + 3)4 (5x + 1)(x² + 3) y = (3х — 1)3, Find the derivative of the function x3 + 4 A. dy dx (2x+3)…

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Q: 7. Integrate 2x-1 dx by using substitution method.

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Q: 10-4z .5-2x-y 6z2 dz dy dx

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Q: (x + 1)2 + y = Inx; y(1) = 4 dx Oyx + 1) = xlnx – x + 9 Oyx + 1) = xlnx – x + 8 Oyx + 1) = xlnx – x…

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Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: Find dy/dx using appropriate derivative rules. 1. y = 8x^5/2 - 7x-9 + square root of 5 2. ) y =…

A: Since you have asked multiple questions in a single request, we will be answering only the first…

Q: dx 2х — 7у dt dy 5х + 10у + 4z dt dz 5у + 2z dt

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Q: ,1 .-2x +5 Evaluate | 3x 10-4x - 2y dy dx 25 3 25 26 7 27 5 28 3

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Q: + 4 oly +6y =0 dt dy +2 -6x=6

A: Introduction:Simultaneous equations are those in which the derivatives of two or more dependent…

Q: x2 -dx 1+ x4 -dx (x² + 1)²(x² + 2.x + 2) 1 -dt, for a> |6|. > [b]. а a +bsent

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Q: Suppose 4x + 9y - 25, where x and y are functions of t. (a) If dy/dt-, find dx/dt when x = 2 and y =…

A: Given: 4x2+9y2=25 Since, x and y are functions of t, therefore differentiating each sides with…

Q: 3 -V7 dz dy dx dy dz dx

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Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: 2x-3y+6)dx-(4x-6y+2)dy=0

A: Given that: (2x-3y+6)dx-(4x-6y+2)dy=0

Q: 3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

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Q: /25-x2 V25-x2 -y2 1 dz dy dx -/25–x² -V25-x² -y²

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Q: (1-xy)^(-2) dx + [y^2 +x^2(1-xy)^-2]dy=0; when x=4, y=1

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Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

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