1. Find the tangent line approximation T to graph of f at the given point. f(x) = Vx, (2, vZ) 2. Find the differential dy of the given function. 1. a) y = vx +G Vx+ %3D b) y = xv1-x2 3. Use differentials and the graph of f to approximate (2, 1) . 4. a) f(1.9) b) f(2.04) 2. 3. 2.

Q: Determine the Solutions of ke followsing differential eguation ě (5-x) dx Xy dy %3D

A: A separable differential equation is any equation that can be written in the form. y′=f(x)g(y). The…

Q: Find the differential dy of the given function. y = V3- x² dy

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Q: Find the differential dy of the given function. y = csc 2x

A: Consider the function

Q: Find the change in y, Ay when z = 5 and Ar = 0.2 Find the differential dy when z 5 and da 0.2 Submit…

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Q: Find the differential dy of the given function. y = In√9-x² dy =

A: Given y=ln9-x2 Formula: ddx(ln u)=u'u where u is a function of x Now consider y=ln9-x2 The given…

Q: 18. Make a rough sketch of a direction field for the autonomous differential equation y' = f(y),…

A: Consider the sketch of the autonomous differential equation,.

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Q: 4 If y = In(8+ x4), find the differential dy. Your answer will be in terms of x and dx. Enter dæ as…

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Q: Consider the differential equation dy (t – 81) + 5ty = sin(t) with y(1) = 2t. %3D There exists a…

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Q: (a) Find the differential equation of the family of spheres of radius r with Centre on the xy-plane…

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Q: Find the differential dy of the given function. y = InV9 - x2 dy =

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Q: (a) Find the differential dy. y = 1/x+1

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Q: 4. u = xz siny + yz cosx + xy tanz

A: Given,  u=xz sin y+yz cos x+xy tan z

Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) .  f"…

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Q: Find the solution of the differential equa­tion that satisfies the given boundary condition(s) .…

A: Given equation is

Q: Find the differential dy of the given function. y = (x + 1)/(2x − 1)

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Q: 9-20 Compute the differential dz or dw of the function. 17. w = x'y?z

A: Given

Q: 6) Solve the homogeneous differential x2 + y? dy quation dx 2xy

A: on solving this we get

Q: Find the differential dy of the given function y = csc 7x Jax dy :

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Q: Let 2x2+ 3x+Y a) Find the differential dy when x = 1 and dx=0.1 %3D b) Find the difiea ial dy when…

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Q: Suppose that the heat conduction in a rod of length Lis described by the equation ku- hu, 0 0, at…

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Q: Find the differential dy of the given function. y = In√√/9-x² dy =

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Q: 4. Below is the direction field for the differential equation dy = f(x, y) dz for some unspecified…

A: In this question, we analyze the model for the given direction field and further check the behavior…

Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: 30. Find an equation for the tangent plane to z = f(x, y) at (3, -2) if the differential at (3, -2)…

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Q: х+1 y 2x 1

A: Given,            y = x + 12x - 1

Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

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Q: T. Selue the ff. differential epnotion ) xy (xdy tydy) = ky'dy; when yol; x=2

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Q: Find the singular sol" of the differential eqh (P+1)² (y-px) = 1 -

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Q: Let f be the function that contains the point (-1,8) and satisfies the dy 10 dx x²+1 (a) Write the…

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Q: Let y = 5√√. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2…

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Q: B- The velocity of a particle v (msec-¹) at time t(sec) satisfies the differential dv equation…

A: We have given differential equation  tdvdt=v+t dvdt=vt+tt dvdt-vt=1 Comparing this with differential…

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Q: Obtain the differential equation of the family of straight lines with slope and y-intercept equal.…

A: Differential equations

Q: 1. Use the differential df to approximate the change in the value of f(x,y) from the point (1,0) to…

A: We will be using definition.

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Q: 1. Construct a slope field for the differential equation = dy x + 2y dx

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Q: Find the number N such that the differential (y^3-2x)dx+Nxy^2dy is exact

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Q: Obtain the differential equation of the family of curves, parabolas with vertex and focus on the y…

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Q: 16. Use differentials (that is, linear approximation) to approximate: V3.9 – e0.05

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Q: 8) Let z = y-x². Use differentials to estimate dz when x = 1,y = 5, dx = 0.03, and dy 0.1. !! %3D

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Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: Find the differential dy of the given function. Y=x+1/3x-2 Dy=?

A: Given, y=x+13x-2

Q: 3. A compression rod of length l is loaded by a sinusoidal force as shown in Figure. The bending…

A: Using the method of undetermined the coefficients for particular solution for nonhomogeneous part.

Q: Find the differential dy of the given function.    y = x√(1 − x2)

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Q: Find the value of the differential dy for y = e3x + 5x if x = 0 and dx = 0.1.

A: We know the differential dy of  y=f(x) is given by, dy=f'(x) dx

Q: Solve the differential equatic y' = (x + y + 2)², Chart Area y(0) = 2 by setting u = x + y + 2.

A: y'=x+y+22let u=x+y+2     u'=1+y'     y'=u'-1

Q: a) Find the differential dy of y=x2+2x+5. (b) Evaluate dy for x=3, dx=1/2. (a) dy=????????? dx (b)…

A: GIVEN THAT y=x2+2x+5

Q: Let y=(x2+4)to the 4th power. Find the differential dy when x=3 and dx=0.3.... Find the…

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