If z = x² – xy + 7y2 and (x, y) changes from (1, –1) to (1.04, –1.05), compare the values of Az and dz. (Round your answers to four decimal place: dz = Az =

Q: If z = 9x² + y² and (x, y) changes from (1, 2) to (0.95, 1.9), compare the values of Az and dz.…

A: Consider the given function z=9x2+y2 The function changes from the point 1, 2 to 0.95, 1.9, then x,…

Q: 2yy' +3y' = 0 = y' =? A) y = 21n(g) B) y = -In = -In PI y = ln 티) J'=41n

A: Solve the differential equation for arbitrary constant c:…

Q: Given z = 11t – 48 and y = 121 sint dy dæ dy dz²

A: Given: x=11t-48   -1y=121sint    -2

Q: Determine dz for z = f(x, y) = ex^22y^2 if x changes from 1 to 0.99 and y changes from 2 to 2.02

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Q: z is jointly proportional to x3 and y3. If z=490 when x=8 and y=4, find z when x=6 and y=5. (Round…

A: z is jointly proportional to x3 and y3. So,   z  ∝  x3y3 z = kx3y3

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: Find a particular solution yp = Yp(x) of the following DE d'y dx? 16y = 48x + 16x + 26

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Q: 1- Sz x?e*y dxdy 2 exy 3

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: Find dy for the given values of x and Ax. y = 2x° - 7x; x= -2 and Ax= 0.2 dy =D %3D (Round to the…

A: We have to find the dy

Q: For y = √2x+9 , find dy, given x = 3 and Δx = 0.12 .

A: The given equation is  y = sqrt(2x) +9 To find dy we have to differentiate on both side  y =…

Q: If z = 5x2 + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Δz and dz.…

A: We have to compare the values of Δz and dz.

Q: Find the equation normal to x² + 3xy + y3 = 15 at x = 1. %3D

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Q: -30t si'n got dt

A: We know, ∫eatsinbtdt=eata2+b2[asinbt-bcosbt]+C, C is a constant

Q: S. y dk t x dly luhere L=

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Q: Given r = 3 ln(t) and y= 9 t then find dy da dy da2

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Q: If y = | || (x2 + 1)dxdxdx and at x = 0,y = 3; at x = 1, y = 5 and if x = 2, y = 9, find y = f (x)…

A: We have given triple integration with respect to x. While solving the indefinite integral, we add…

Q: -dz , where y is given in the figure z2+1

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Q: 3. If GH = 7x + 18 and JK = 81, find x. %3D H G 丰 K %23 世

A: In this question given that two triangles and both are same . Their sides are same and we can say…

Q: If z = x2 – xy + 4y2 and (x, y) changes from (2, –1) to (1.97, –0.95), compare the values of Az and…

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Q: Using WXYZ from the previous question, if WY = 32, find XY. %3D

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Q: dy Find at (x, y) = (3, 4) and z? = a²+y² if d = x² + y? if 1 аnd 2 6. dt

A: Given z2=x2+y2, (x, y)=(3, 4), dxdt=1, dydt=2. When x=3, y=4, z2=32+42   =9+16   =25 ⇒z=5

Q: d'y If x =t-sint , and y=1-cost, find

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Q: Find dy for the given values of x and Ax. y= 2x° - 7x; x= - 2 and Ax = 0.2 dy =D %3D (Round to the…

A: Solution: The objective is to find the value of dy

Q: If z = x2 – xy + 4y2 and (x, y) changes from (1, –1) to (0.96, –0.95), compare the values of Az and…

A: We have to use differential to find results.

Q: If z = x2 - xy + 8y2 and (x, y) changes from (1, –1) to (1.03, –0.95), compare the values of Az and…

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Q: 27 (t +1)y" + ty' – y = (t+ 1)2, y(t) = t, y2(t) = e=t.

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Q: Approximate y(1.2), with h=0.1 given that xy' = y +x , y(1)= p, by RK- 4 using 5-digits rounding.

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Q: For y=x-3x+7, find dy, given x= 1 and Ax= 0.3.

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Q: XzP -te; xlol = dt?

A: it is given that     d2xdt2=tet         (1)where x(0)=x'(0)=0integrate both side to equation (1)…

Q: For y=f(x)=3x^3 , x=3 , and (triangle)x = 0.03 find dy (two decimal places)

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Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: Let z=xln(x2+y2-e4)-3xy, x=tes, y=est. If the value of 2 when s=2 and t=1 is equal to Ae2+Be4, then…

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Q: Find the differential of the function. p = 9q – 493/2 dp:

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Q: Given z = 1le lle*y® , find 10 dz dz dy

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Q: If z = x² – xy + 2y² and (x, y) changes from (3, –1) to (3.03, –1.05), compare the values of Az and…

A: given: z=x2-xy+2y2 and (x,y) changes from (3,-1) to (3.03,-1.05). we have to compare the values of…

Q: 2_dy -y? =2xy dt

A: Given the Differential equation is     x2dydx-y2=2xy.

Q: If y = |||(x2 + 1)dxdxdx and at x = 0,y = 3; at x = 1, y = 5 and if x = 2, y = 9, find y = f (x) and…

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Q: y(x), find y(4)]. S 4xy' – 4y = 7x, ly(1) = 4.

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Q: Given a = 12 ln(t) and y = 144 t2 then find %3D dy dz &y dz2

A: x=12ln(t)y=144t2

Q: If z = 9x + y² and (x, y) changes from (1, 3) to (0.95, 3.1), compare the values of Az and dz.…

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Q: r(t) = m(-cost + 3)i – m(sint + 3)j+ 3mtk, 0 st <TV10.

A: Given :

Q: If x = 5t +4 and y = 3t-7 , then find dy at t = 2. dx а. 1 O b. 2

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Q: Find dy for the given values of x and Ax. y = /2x+9; x=1; Ax= 0.12

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Q: Find L ft ={fe',01 el-s -1 b. 1-s e -1 et -1 а. 1-s C. 1+s e- -1 d. 1-s

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Q: -)-= 0 ,y'at y = a (b is constant)

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Q: π ,t<. 3 b) Let y(t)= 1? + sint , find L(y(t)) 3

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Q: If y1=2x+4 and y2=x^2+C, find the value of C such that y2 is tangent to y1. O A. 6 В. 5 О С. 7 O D.…

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