(c) S, y*/1- y² dy

Q: 3) Find dy dx a) y = x+In(sec 3x) %3D In(x+)

A: solution:-

Q: zy dy de t 5/2/2/0

A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx The general formula of integration is…

Q: 9. dy/dt = y²(y² - 1), -∞ < Yo <∞

A:

Q: dy In(3x + 7) Find for y = dæ 9e5z dy %3D dx

A:

Q: Find the differential dy: y = In (sec² (3ª²–2x+5)).

A:

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: Given: fx,y=exsiny+lnxy To find the partial derivative of ∂3f∂x∂2y Partial differentiation: Partial…

Q: dz dz Calcula y dy z = x In(y) az = In(y) 1

A: Given : z = x ln( y ) To Find : ∂z∂x, ∂z∂ywe have given four options to determine the correct option…

Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

A:

Q: Let y=x2+2x. Compute Δy and dy at x=3 if dx=0.2. What is the difference between Δy and dy? That is,…

A:

Q: Evaluate the double integral : (y³ – 12x) dx dy -

A:

Q: If x2 + y2 = 25 and dx/dt = -2, then what is dy/dt when x = 3and y = -4?

A: Given x2+y2=25Differentiating with respect to t,ddtx2+y2=ddt25

Q: dy 2х + ху is separable. dx y2 + 1

A:

Q: Compute /. x² dx dy dz, where E = {(x, y, z) : x² + y² < 1,0 < z < 1}.

A: To evaluate ∬∫Ex2dxdydz, Where E is the region E=x,y,z:x2+y2≤1, 0≤z≤1.

Q: Integrate f(æ, y) = e2=² + 2y² over the domain {(x, y) | æ² + y? < 3}

A:

Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: 3 If y= Vx (x-1), find dy (Use rules, not a de finition XP

A: Given:         y=xx-1       dydx=ddxxx-1    Apply product rule:         ux·vx'=u'(x)·v(x)+u(x)·v'(x)…

Q: Compute dy/dx using chain rule where y = (u^2+2u)/(u+1) and u = x(x + 1)

A:

Q: Evaluate sczxay) dx^ (x+ 3y) dy along the poth C: ure on y =1-3 from l0,)) to Cl,0)

A: Line integral problem......

Q: -dx. V1–16z² Consider For the u-substitution u = 1 – 16x², which is the new integrand in terms of u?

A: Given:-∫014x1-16x2dxTo find: new integration in terms of u by using the u-sbstitution, u=1-16x2

Q: dy -y2+1,ysCJse Cantial cokditian.

A:

Q: A particle moves on the graph of y^2 = x + 1 so that dx/dt = 4x +4. What is dy/dt when x =8 ?

A: We have, a particle moves on the graph of a function given as y2=x+1 Differentiating both of the…

Q: dy If y = 2sin 3t then aY is: dt

A: we know that, derivative of a^x = lna * a^x  so from this we will solve the quesiton

Q: Find the differential dy. x + 3 4x - 1 dy =

A: y=x+34x-1

Q: find dy&gt;dt.…

A: Given function, y=ecos2pt−1

Q: 7 xsiny dx + Cx²+1)cosy dy = 0, yC)=TT/2

A:

Q: O Calculate ........... 2 4-y2 dy dx O I-X ® yde dy

A: Here we will find the solution of question 4. a)∫01∫1-x1-x2dydx Solution: Here the independent…

Q: [-+] 5t dy 3.1는-51%3D-y dt

A: This is a linear 1st order differential equation.

Q: Show that d/dz(z^2 z ̅) does not exist anywhere.

A: Here we show that ddzz2z does not exist anywhere.

Q: d csinx 1 dt 1-t2 dx '3 V5 SNt VE2 + 1 dt 1+xv

A: We have to solve the integral

Q: Compute the differential dz of the function. z = x'y8 dz

A:

Q: 2e | 3జy S S dy da = Vsin(zy)

A:

Q: Y 30 ΨΥ Ỉ2 2 47 13 23 24 με χ ΕΙΝΑΙ Fino η Exy. ἐκ ἔγ In ex² - (Ex)^ in [y- (fy) th nexy- έχτι…

A: Given information: X Y X^2 Y^2 XY 27 30 729 900 810 44 19 1936 361 836 32 24 1024 576 768…

Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

A:

Q: ,dz Find ifz = xy2 +x²y, y = ln x - dt

A: We are given : z=xy2+x2y and y=ln x⇒z=x(ln x)2+x2 ln x

Q: Find dy at x = -1 if y = u’ +5u – 4 and u = x² +x . dx

A:

Q: Find the general solution of dy (y2 + 4) In x In(y2 + 4)"* %3D dx

A:

Q: Find the particular solution of y(9x-2y)dx - x(6x-y)dy= 0, when x=1, y=1. To start, let y=vx.

A: The given differential equation isyax-2ydx-x6y-ydy=0, with y1=1It can be written…

Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

A:

Q: Q4) Find y" + 3y' 5y at x-5 where y = xsin(1/cscx))

A:

Q: 1. d²y dy +6- dt² dt +8y=-4 cos(3t)

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

Q: Find the differential of the function y = In(S - 2x) 2dx dy = (5-2x) dy = (5 – 2x )dx -2 (5-2x)dx…

A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

Q: dy dy + 7 dt + 10y = e-t dt2

A:

Q: 3) Find dy/dx Cas %3D X-

A: Given:

Q: Find dr dy at x = -1 if y =u° +5u – 4 and u = x² +x.

A:

Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: dy/dt=0.3(y-200)

A: Separate the variables and integrate both sides.

Q: Find the differential dy of the x + 1 y = 4х — 5 dy =

A:

Q: What is the integrating factor of 6y²dx – x (2a + y) dy Oy-2 Oy? Oy

A:

Q: ne differential ay of 'uonpuni y = V 5 - x2

A: