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Q: &r4- V -, determine the Let y=f (x) + C be the antiderivative of F (x) = space) if *=3.6, and y= 17.

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Q: If x-0.78 and y 0.83, then value of Cin the antiderivative of F(X)= xsin-(x) is V1- x2

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Q: Prove valid 1. (x) (~Ax v Fx)                             / (x) (~Gx--> ~Ax) 2. (y) (~Fy v (~Cy v…

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Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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Q: Find the specific runction value. Find f(0, 1, -1) when f(x, y, z) = 4 ×- 8yz + 5x. O-7 8 -8

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Q: x = X, +(-

A: let the initial velocity be v0 , and the initial distance be x0 .and in time t , the new velocity…

Q: dz Find using chain rule, where z=, V-,x-e", y-e". dt

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Q: Vx? + yZ 49x2 49 [F,(x, y)]² + [f,(x, y)]² 1+ x² + y2 e have [f,(x, y)]² + [f,(x, y)]² = /

A: This is the question from vector calculus.

Q: Find f(-1,1,0) f(x,y,z)=(2xy-y^2+z)/(x^2+3xy+z)

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Q: method of variation of parameters y+3y+2y3sin e^^x

A: To solve the differential equation by the method of variation of parameters.

Q: 2. If F(x, y, z) = 2z3 – 3(x² + y²)z, then verify that Frx + Fyy + F2 = 0. %3D

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Q: Find the linearization of f(x, y, z) = at the point (3, 2, 8). (Express numbers in exact form. Use…

A: Introduction: The formula of linearization of a function f(x,y,z) at (a,b,c) is given by,…

Q: finid the absolut max and min of the function on the qiven domain. f(xiy) = 5x*+3y on the closed…

A: Explanation of the answer is as follows

Q: Exercise: Find dy O y = lox +3 Cost ® y =cscx- 4 Vx +7 Cotx 1+ Cotx

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

Q: valuate S. F · ds, where F(x, y, z) = (z, x, y) and c(t) = (t, t², t³), 0 < t < 1.

A: F(x,y,z)=(z,x,y)

Q: Dada la función xy f(x, y) = 3x + 7y Calcule fyz 42ry (3x + 7y) 42 y? (3z +7y) 42z2 (3z + 7y) 42xy…

A: Given query is to find the indicated derivative.

Q: Find the linearization of y=√x  at a=49. Then use your linearization to approximate √56. Show work

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Q: mence Jove Q 6. Find the orthogonal trajectories of the functiony = x + ce-, which is passing…

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Q: Integrate f(x, y) = y(x² + y°)° over the domain æ? + y? 0.

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Q: F(1), p(y) - y - 1, F(Y) - F(y - 1), y - 2, 3, ...

A: Suppose that Y is random variable that takes on only integer value 1,2,.. and has distribution…

Q: Using an appropriate linearization, the local linear approximation o

A: Recall the local linear approximation formula:

Q: -Plot the veotor plot Ci.e: on the x,X -plane) Using partioular 'solution and xCt)→ Ca) when t=2 ,…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: If f (x, y, z) = a°y°z2 + z°x°y, then 33 fyzzzzz (1, 1, 1) - %3D

A: When a function depends on more than one independent variables, the differentiation involves partial…

Q: 2² – 6y? Then Let f(x, y, z) y2 + 4z² fz(x,y, z)= fy(x, y, z)= f-(x, Y, z)=

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Q: Consider a consumer whose utility function is u(z1, 2) = - exp(-ar,22) Can you take first order…

A: Please check the solution below

Q: Elimination of Arbitrary constant. y = Cie* + Cze* + C3e, where y(0) =0, y'(0) = 1, y"(0) = 2

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Q: x + y + z = 4 function on the f(x,y, z) = x3 + y3 + z3 plane Find the maximum and minimum values by…

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Q: Using linear approximation of f(x,y)=*+Y at (3,2), the value of f(2.94,1.94) estimated to be x-y

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Q: Find for the function h(x, y, z) h(x, y, z)= ecos(y +8z).

A: Given,           hx,y,z=e7xcosy+8x

Q: Axyz) = x²sin(yz) given 1. calculate fx (x,y,z), fy (x,y,z), fz (x,y,z), f

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: = [[ F - a5, I = S F = î4æz – jy² + kyz 1

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Q: Find fyry. f(x, y) = a°y® – 6æ*y+x fyry =|

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Q: in the direction of the line (X-31/10 Q4/ Using chain rule to find dw/dt if wrxy-2, X" cost, yesint…

A: Find the attachment

Q: f(-1,–5)= f(-5,–1)= f(0, 0)= f(5, –5)= f(t, 2t)= f(uu, и — v)-

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Q: f(z) = 4z² – 2z + 9 إجابتك = Vx %3D f (z) = 4z² – 2z + 9 إجابتك

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Q: 2. CG X It otx

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Q: 6s-2 15. F(s): 2s²+4

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Q: (x²ex²+y ) f(x,y) = } 7²+y2 , (x, y) # (0,0) 0, (x, y) = (0,0) Calculate fx (0,0) or show why it…

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Q: The concept of the linear approximation builds from the fact that differentiable functions are…

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Q: = The real part for the function f (z) = 4z2 – 2z + 9 إجابتك = The imaginary part for the function f…

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Q: lim (z,y)→(0,0) r* + 3y4

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Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

Q: f: (Z, +) → (Z, +) where f(x) = 2x. f: (R, +) → (R*, .) where f(x) = 2*

A: We will use definition of isomorphism

Q: Determine the linearization of y = 4 – 2x at (1, 2). Then use it to approximate the value of y when…

A: It is given that, y=4-2x2  at 1,2 we have to determine the linearization of function. Then use it to…

Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: The cubic function y = ax3 + bx2 + cx +d pass through (0, -6), (1, -2) and tangent to the line 3x -…

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Q: or f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. (Give…

A: Given f(x, y)=5x3-14xy+y3   To Find: All values of x and y such that fx(x, y)=0 and fy(x, y)=0…

Q: y =f(x): 2 1 -2 7 4)

A: Let ∆x = 0.5. From the graph, determine f(-1-∆x) and f(-1+∆x). From graph,…

Q: ntegrais. I, da, D= {(x.y) 0sxs20sys2% dA, D = x +2 [['e"d4, D={(x,y)| 0s ys 4,0sx<y}

A: Double integration

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.