Find the total differential w = x2yz2 + sin yz

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: Calculate the total differential dz for z = r sinh(ry) + yelv

A: Note- since you have asked multiple questions, So Acc. to Bartleby guidelines we are supposed to do…

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know that; The expression for the volume of the cube is: V=a3    ....(1) Where a is the edge…

Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) Jazy…

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Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

A:

Q: Find the differential of the function w=x^5sin⁡(y^5z^4) dw=  dx+  dy+  dz

A: Differential of a function is simply the derivative of a function. Also, d(uv) = u.dv + du.v

Q: Find the total differential dz for z=tanh(y)ln(x)

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Q: dx 3. J TxVx-1

A: the given integral is: ∫dxxx-1 we have to evaluate the given integral.

Q: Find the total differential. z = 5x3y9 dz =

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Q: Integral in REVERSE ORDER

A: Given that  I=∫08∫y32ex4dx dy Limits are given y=0 and y=8     x=y3y=x3  and x=2

Q: Find the Integrating factor of: dy + y. sec5x = tan5x dx 1 (sec5x + tan5x) 5 O sec5х — tanп5x + 5 O…

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Q: Use double integral to find the average temperature of T(x. y) = 10-8r -2y

A: Temperature function is given as - Tx, y = 10-8x2-2y2Average temperature = ∬10-8x2-2y2dxdyGiven…

Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: Sev dx (Hint: Integrate by parts with u-substitution)

A: To evaluate I=∫exdx

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

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Q: te dt.

A:

Q: The dimensions of a closed rectangular box are measured as 93 cm, 66 cm, and 50 cm, respectively,…

A: Given,           The dimensions of a closed rectangular box are measured as 93 cm, 66 cm…

Q: Find the total differential. z = x cos(y) – y cos(x) dz =

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Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

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Q: gin (t) et dt

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Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error

Q: Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. a. Use…

A: The measurement of the side length is accurate to within 0.1 cm. Therefore,  -0.1≤dx≤0.1  The volume…

Q: find the soution of' the differential eq. System X= 3X+44 9=X+3y %3D

A: Given differential equations are                                     dxdt=3x+4y,dydt=x+3y…

Q: Find the total differential. z = 10x8y6 dz =

A: GIVEN: z = 10x8y6

Q: Find the total differential. z = 10x6y7 dz = %3D

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Q: Find the total differential of z= f(x, y), where f(x, y) = In Use * for multiplication of variables,…

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Q: solve: d/dx on the intergral 2x to x3 with an integrand of t2 et^5 dt

A: Given integral is

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: To find out the relative error in the lateral surface area of the cylinder.

Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

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Q: Verify the condition of integrability for the given total differential equatior (3x*y2 – e*z)dx +…

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Q: Find the total differential. z = ex tan(y)

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Q: %3D

A: We are given: u=ln 1-t21+t2⇒dudt=ddtln 1-t21+t2 The derivative can be found as follows:

Q: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

A: The objective is to find total derivative dw.

Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm. a) use…

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Q: 2) Find the total differential dz for z = tanhy In(x)

A: Total differential of z is given by dz=(∂z/∂x)dx+(∂z/∂y)dy

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A:

Q: 1. Evaluate LL vsin(a*) dx dy by first changing the order of integration.

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Q: Find the total differential. z = 10x6y7 dz =

A: Differentiation of xⁿ = nxn-1

Q: Find the total differential. z = x cos(y) -y cos(x) dz %3D

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Find the total differential. z = 10x y10 dz =

A: As we know that the: If the given function is z=fx,y then the expression for the total differential…

Q: show that the differential forms in the integrals are exact. Then evaluate the integrals.

A: Here, we have   Assume ∫(0,0,0)(2,3,-6)2xdx+2ydy+2zdz                   (i)   Using the formula,…

Q: Find the total differential. z = x sin xy

A: Given: z=x sinxy To determine: The total differential of the given function.

Q: Q10.a) Find rsinx if tnx Jt +5 dt + siny = x – x²cosy

A:

Q: Find the total differential. z = e4x sin(3y) dz =

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Q: 1 dx is an improper integra 2 3x

A:

Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

Q: Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3)…

A: Given : ∫( 0 , 0 ,0)( 1, 2, 3)  3 x2y dx + ( x3 - z3 ) dy - 3y z2 dz

Q: In 3 | (1-x)e"dx ах In

A: Consider the given integral

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation