Given, f (x, y) = sin (x²y – 2x + 4). Find fy. - x cos (x²y – 2x + 4) x² cos (x²y – 2x + 4) O-x² cos (x² y – 2x + 4) -2 cos (x²y – 2a + 4)

Q: Determine fry when f (x, y) = x sin¬' () -1 1. fry = (x² – y?)3/2 y? x² – y? 2. fry - xy 3. fry (x²…

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Q: Which of the following can be differentiated without using the Chain Rule?  (a) y = tan(7x2 + 2)…

A: Given: (a) y = tan(7x2+2)  (b) y=xx+1 (c) y=x·sec(x)d y=x · sec(x) (e) y=xex(f) y=sinex

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A: Given differential equation is  xdydx+2y=cos(πx)x,y(1)=1

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Q: Find f(x).

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A: Sol

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A: a0=0

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: #2. | Ax)dzx, f(x)= (sin z, 0srs a/2 |cosr, n/2< rSA f(x)dxr. f(x): #3.

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Q: f) y= xcos(xln x) g) y= 3(sin 2x – x* }** In. 3x'e** h) y= cosx

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Q: Find y' for the following 1- y5 + x²y3 + 18 = ye*² 2- Sin(x + y) = y² Cos x 3- 3x²-2y³-1=0, find at…

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Q: 2.xy x² – y? Show that - = 0 if z= Tan

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Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

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Q: Let f(x) = 2x? cos(4r). %3D f'(x) = - 8x sin(4x) + 4x cos(4x) COS f'(2) = %3D f"(x) =|| 0 f"(2) =| |

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Q: Given (1+ 3x sin y) dx – x² cos y dy = 0 with y(1) = 0. Using Euler or Runge – Kutta method, what is…

A: Given 1+3xsin ydx-x2cos y dy=0....(1) with y1=0 We will find the value of fx, y to approximate y

Q: If S", f(x) cos(mx)dæ = } g ar cos(n²a) f(x) = Ln=1 nt +1 then m =

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Q: (1) Verify that the indicated function is a solution of given DE: (i) y" – 4y' + 4y = 0; y = c1e²x +…

A: Since you have posted multiple questions, i will solve first one for you. If you want solution of…

Q: Let z be defined implicitly as a function of x and y by the e e-zy əz find O UTM + cos (xy) = (4 –…

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Q: The derivative with respect to x * 2cos? (x2 + 2) is A. 2sin (x2 + 2) cos (x2 + 2) B. -2sin (x2 + 2)…

A: We will solve the problem.

Q: Find the solution of Uxy - x²y = 0, Uy (0, y) = y², u(x, 1) = cos(x)

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Q: ) Given f(x) = t² – 36 dt 1+ cos²(t) Jo At what value of æ does the local max of f(x)|occur? x =|

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Q: find the aradients of the functions below a)f(x, y) = e-3y cos4x

A: We have to find

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Q: If f(x) = (A) B - St √1+1² 1+e' 0 In (secx) √ 1+tan²x tanx 1+e 1+tan²x tanx D tanx 1+e sec ³x 1+…

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Q: Let f(x) = – x^3 – cos(x), po= – 1, and p,= 0, then by Secant method p2=

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Q: The Wronskian, W, of the functions y1 = sin(2x) and y2 cos(2x) is %3D

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A: From the given x=0.75, x0=0, x1=0.5 and x2=0.7. It is known that, the lagrange interplotation…

Q: Evaluate Sin (OS - Cos(2x 2. F(Xg.2)2(24-2)で+(2x)デさ(x-g)K C:F(t) = -3€ t+ (2€ + 1) jt4kg ÖZ t<2

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Q: Given, f (x, y) = = sin (x²y – 2x + 4). Find fr. - O(-2æy – 2) cos (x²y – 2x + 4) (2xy – 2) cos (x²y…

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Q: e) Suppose that W= √√x² + y² + z², x= cos 0, y = sin 0, z = tan 0. dw T Use the chain rule to find…

A: According to our company's guidelines I can only answer (e), since (e) and (f) are not inter…

Q: Let z be defined implicitly as a function of x and y by the equation dz 4+ In (xy²) – cos (xy – z) =…

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Q: Apply the chain rule to differentiate the following functions. Show your complete solutions and…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Find a function f that satisfies the equation | f(t) dt = 2 cos x + 3x – 2. %3D -

A: Derivative of a definite integral is: ddx∫0xf(t)dt=f(x) Formulae used: ddxcosx=-sinxddxx=1ddxC=0…

Q: find ao for f(x)=cos 2 [0,2m] .a .b IT .C 2n .d 2

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Q: The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *() + 1. 2tan -1 2tan-1 + C ()…

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Q: 1+ x² -L „tanx - for all x €[0,1/2], then f'(x) equals 1+ ex * If f(x) = sec2x A 1+ etanx sec³x B 1+…

A: Given an integral. We need to find f'(x).

Q: Given that f (x,y) = 6x2y3 - cosx + 5y2 - siny + 10x2 - e-3x ;   find  fxx ;   fyy   ; fxy ; fyx

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Q: Q1) suppose that W= x2+y2+z² and x cos 0, y = sin0, z = tan 0 ,use the chain rule to find de when 0

A: We have, W=x2+y2+z2 and x=cosθ, y=sinθ, z=tanθ  We have to find, dwdθ=? at θ=π4

Q: 3. Let g(x) = V10- cos(x) +3x. %3D 3.1. Find g'(x). 3.2. Find the linear approximation to g(x) at x…

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Q: Consider the functions z = -2e" In y, x = In (u cos v), and y = u sin v. dz dz (a) Express and du as…

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Q: -ツ() The function f(x) is invertible. Find given that f(x) = 5x +4 cos(x).

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Q: Find the and of the following function; дх ду (a) z = xln(xy) + y³, y= cos(x² + 1) (b)z = V x² +…

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Q: 4. Find and sketch the domain. (4a) f(x, y) = ln (x² + y² – 4) (4c) f(x, y) = /9 – a² – y? V16 – x²…

A: As per our guideline we are allowed to do 1 question or maximum 3 subparts at a time. Please post…

Q: The function f : XI→ a + b cos x, is defined for 0 sxs 2n. Given that f(0) = 10 and that f (n) = 1 ,…

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Q: The conjugate harmonic function v(x, y) of u(x, y) = In (x2 + y2) is *(;) + -1 1. 2tan () + -1 2tan…

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Q: Find the Wronskian for y, = sin 3x , and y2 = cos 3x.

A: The Wronskian, W, of two functions, f and g is calculated as follows. W=fgf'g' , where, f' , g'are…