Find the total differential. 5x + y w = 2z - 6y dw =

Q: 1 (a) 3.98 By using the differential, approximate (b) v17.02

A: Topic = Algebra

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (2.04)2(1 + 8.8)3 −…

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Q: Find the differential of each function. (a) y = s/(9 + 4s) dy = (b) y = u cos u dy =

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Q: Let y 3x?. Find the change in y, Ay when x = 2 and Ax = 0.4 Find the differential dy when x 2 and dx…

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Q: Let y = = 4a?. Find the change in y, Ay when x = 2 and Ax = 0.2 3.2 Find the differential dy when x…

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Q: Find z = f (x, y) and use the total differential to approximate the quantity.

A: Given: The expression

Q: Let y = 5x?. Find the change in y, Ay when x = 2 and Ar 0.4 Find the differential dy when a = 2 and…

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Q: Let y = 4x2. Find the change in y, Ay when x = 4 and Ax 0.2 9.96 Find the differential dy when x = 4…

A: solution:-To find change in y,∆yy=f(x)=4x2x=4∆x=0.2∆y=f(x+∆x)-f(x)      =f(4+0.2)-f(4)…

Q: Determine the total differential, dz. f(x, y) xye® 5xy Factor each part completely. dz =

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Q: Find the total differential. z = 10x5, y7 dz =

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Q: Find f(2, 1) and f(2.1, 1.05) and calculate Δz, and use the total differential dz to approximate Δz.…

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Q: B. If R = xyz’i+÷j – yz*k_find of the differential R, dR.

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Q: Find the total differential. w = = x?yz° + sin(yz) dw =

A: In partial derivatives, the total derivative approximates the function with respect to all of its…

Q: t +t dt

A: Antiderivative: Integration is the inverse process of differentiation.  The operation of finding the…

Q: Find the differential of each function. (а) у y = 2 + 5s dy = (b) y = e" cos(u) dy =

A: Given,

Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

Q: Find the differential of each function. (a)     y =  u + 3 u − 3 dy =

A: note some formulas  d(u v) = u dv + v du d( x ^n ) = n x^(n-1) dx d(f( x) ^n ) = n (f(x))^(n-1) d…

Q: Find the differential dy. (а) у — ху5 xv5 – x dy = (b) y = (1+x)-9 dy

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Q: Find the differential of a) y=s/5+3s b) y = e−u cos(u)

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Q: If z = x²y, use differentials to determine dz for the quantity (3.01)2(8.02). 72.662 0.662 0.66…

A: To determine dz. Given that z=x2y for the quantity 3.0128.02. Here x=3, dx=0.01, y=8, and dy=0.02…

Q: Find the total differential of the function f(r, y) = (3 y²+6 2):

A: Given,           The function is fx,y=3y2+6x13 .

Q: (a) Use total differential to find the approximate value for f(-0.07, 2.98) if f (x,y)=x²y-2xy-6,…

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Q: find the general salution of ly-3y12)de = xdy,

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Q: Find the differential of the function. y = V6 - t8 dy %3D

A: Solution: The objective is to find the derivative of the given function

Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

Q: 4 9. у%3 (1+ vx)" V1-s2 10. r = S

A: (9) Given information: The equation is y=1+x4. Concept used: Chain rule of differentiation:…

Q: t²e*dt dz J2r

A: on solving this we get the

Q: Solve for the differential of y when y= sinax, x=-, and dx= (A 4 B C) 4 D

A: Given; y=sinπx ,x=1/3, dx=1/2.

Q: Find the differential of the function. 3 z = 3t - t2 dz II

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Q: Find the total differential. 4x + y w = 2z - 8y |

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

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Q: Find the differential of the function. z = x In(y* + 8) = zp dy + xp Find the differential of the…

A: Given:- Z = x ln(y3+8)  H= x5 y8 + y3 z9  To find:- dz and dH

Q: Find the total differential. 2x + y W = 5z - 4y

A: For a function of two or more independent variables, the total differential of the function is the…

Q: Find the differential of each function. (a)     y = etan(?t) dy =        (b)     y =    1 +…

A: we have to derivate a given a function y=etan t  let t be a function then we have  dy=etantd(tan t)…

Q: Find the differential of each function. (a) y = etan(rt) dy = (b) y = V2 + In(z) dy =

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Q: dy The solution of dx with initia y

A: Introduction: Separation of variables: This method is only practicable if the differential equation…

Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

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Q: Find the yacral Selution Sulution 2. d 2. dy +y=D0

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Q: Find the total differential. z = 10x4y5 dz = (No Response)

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Q: Lind -2x+H where X- oro Zy

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Q: Find the differential of each function. (a) y = 3 + 5s dy = (b) y = e¬U cos(u) dy =

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Q: Find the differential of the function f (x, y) = xe at (-3,0). df =

A: Explanation of the answer is as follows

Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: Find the differential of f(x, y) = f(1.04, 1.98).

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Q: c. x²dy+ (2x³y – e*)dx = 0

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Q: Find z=f(x, y), and use the total differential to approximate the quantity (3.01)2(8.02)-32-8. Round…

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Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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Q: Find z = f (x, y) and use the total differential to approximate the quantity. (2.01)2(9.02) − 22 ∙ 9

A: The given quantity is 2.0129.02-22·9. It is of the form of fx+∆x,y+∆y-fx,y. Here, x=2,y=9 and…

Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

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