Find the linearization at the point indicated:   V (h) = 4h(2 − h)(4 − 2h), a = 1

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: Obtain the homogeneous linear equation satisfied by the following given function 1. y =x2 (e5x + 4)

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: 2. Select all of the equations that represent linear functions. Ay I By 2x |3D Cy = 22 2 DY Ey %3D…

A: To find:- Select all options that represents linear function

Q: Ans: (x + y)e+y = C y'+--2

A: Given differential equation is homogeneous differential equation which can be solved by converting…

Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: Exercise 3. compare the values of dy and Ay in each case (3a) y = 0.5r" I = 2 Ar = dr = 0.1 (3b) y =…

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Q: Find the orthogonal trajectories of the family of x² – y² = A. y? = x² + c B. xy = c C. y(6x² – y²)…

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Q: If y1, Y2 Y3 are solutions to y"+p(x) y' +q(x) y =0, then {y,, Y2 • Y3} is Linearly dependent.…

A: We have to tell about given statement.

Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

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Q: Optimize z=f(x,y)=20×x×y-(x2+y2), subject to x+y=4 Do in 45 minutes to upvote

A: Optimization problem

Q: A woman bails out of an airplane at an altitude of 10,000 ft, falls freely for 20 s, then opens her…

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Q: - Employ Picard's method to obtain y (0-1) of the equation ay = x +y, given that Y, =0 when x, = 0.

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Q: Eo f is y = 1(a- 4). 3D1

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Q: t(s² + t?)ds – s(s² – t²)dt = 0 %3D -

A: We have,  ts2+t2ds-ss2-t2dt=0 On re-arranging and solving a bit furthermore, we get the result as…

Q: Find x and y in terms of a. X + y = 0 х+ ay %3D 6 (а + 1) (х, у) —

A: Given:    x + y =0        --------1   x + ay = 6     --------2 from 1: x = -y put the value of x in…

Q: 3 (E1)² Drive this equation dT to ds 2 R2 W, * + (Xe)2

A: Given

Q: 2. b. Then, use the linearization to approximate the number V8.7. Be sure to show work, and clearly…

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Q: Are the functions y1 = xe*and y2 = e*linearly independent?

A: If the Wronskian of these functions vanishes everywhere then they are linearly dependent, otherwise…

Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: Find all solutions of the linear ODE: y'''+y=t

A: I am attaching image so that you understand each and every step.

Q: Find the value of c and YZ if Y is between X and Z. XY=11, YZ=4c, XZ=83

A: Find the value of c and YZ if Y is between X and Z.

Q: d) Y - (10х; +х,J(5х, + x, 2 2

A: Consider the given function: Y=10x12+x235x1+x225 Now partially differentiate the function with…

Q: Show that a linear equation dy a(x) + b(x)y = c(x) %3D dx is exactif a' (x) = b(x).

A: A differential equation of type  P(x,y)dx + Q(x,y)dy =0 will be an exact differential equation if…

Q: how can i find the vectorial equation for d1:3x/2=y-1 and d2:?x+y-6=0

A: Given: vector equation for  L1:   3x/2=y-1 l2  :   x+y-6=0

Q: 1. (y-x+ xycotx)dx + xdy = 0 2. xdy + (1 – 3x)ydx = 3xdx

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Q: Find the DE by eliminating the arbitrary constants |.cʻy² = xCx- )° %3D

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Q: Use reduction of order to find a second linearly independent solution: x²j – xy + y = 0, Yı = x Then…

A: We have given a second order homogeneous linear differential equation equation with variable…

Q: + %3D 5 -11 3z -4 N N N

A: 2w+3x-4y+z=9...........(1) w-3x+y-z=5.................(2) -2w-x-3y+z=-11........(3)…

Q: Find (x, y): R = {(x, y): 0 ≤ y ≤ √√x² +1,0 ≤ x ≤ 1} about the x-axis.

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Q: P (Likes spicy food | Masters) = %3D D. P (Masters | Likes spicy food) = %3D F. P (Juniors and Does…

A: Conditional Probability

Q: Is the equation y '(t) = 2y - t separable?

A: Given a differential equation, y't=2y-t

Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

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

Q: Determine the orthogonal trajectories for x2 = ky³. A) 2x2 + 3y2 = c C) 2x2 – 3y? = C - D1.2

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Q: Find the linearization L(x) of y = (64+3x2)-1/2 at a = 0. L(x) = %3D

A: The given function is: y=f(x)=(64+3x2)-12 So, f'(x)=-1264+3x2-32(6x)        =-3x64+3x232

Q: Find the linearization L (x, y) of the function f (x, y) = V101 – 4x2 – 9y? at (-2,-3). L (x, y) =…

A: In the question it is asked to linearize the function f(x, y)= 101-4x2-9y2 at (-2.-3).

Q: B) Then show | x + y|<|x| +1y|

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Q: Obtain the homogeneous linear equation satisfied by the following function.

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Q: The equation below is said to be A. Linear in x O B. Linear in y C. Linear in both x and y O D.…

A: We will find out the required value.

Q: d³r dz +t- dt3 (c) 4tx = 0 %3D dt

A: The solution is given as

Q: Find fxxy given that f(x, y) = e^xy^2

A: Given,   f(x,y)=e^x *y^2             we have to find fxxy

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2…

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Q: Determine C, and C, so that y(x) = C¸ e²* + C2e* + 2sinx will satisfy the conditions y(0) = and…

A: Put x=0 in y(x).

Q: Solve the equation, d²x + w?x(t) = 0 dt? subject to the conditions x(0) = A and x'(0) = 0 %3D %3D

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Q: = Gx" y, where G = 1 H = 1/2 J = -3/2

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Q: Differentiate the following linear and non-linear equations, and give a reason that why its linear…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: find the first order linear y(t)=4et-1-t-1

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Q: Find the orthogonal trajectories to 4x? = a - 3x*y?

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