Can we obtain the equation of continuity in the form as in the attached image, by using the local and partial rates of change formula for vectors and scalars(please refer the other image)? If so, can I have a detailed explanation on how to start with the formula of local and partial rates of change to obtain, the equation of continuity as in the form given in the relevant image? Thank you!

Can we obtain the equation of continuity in the form as in the attached image, by using the local and partial rates of change formula for vectors and scalars(please refer the other image)? If so, can I have a detailed explanation on how to start with the formula of local and partial rates of change to obtain, the equation of continuity as in the form given in the relevant image? Thank you!

Related questions

Q: A ship sails 40 km[N30°E], then 50km[E], then 70km[N60°W], then 60km[N45°W], then 100km[S], then…

Q: Use the following cartesian coordinates for all problems in Part I. A = (4, 3, -6), B=(-8, -3, 4), C…

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

Q: An object is thrown into the air and returns to the ground. The equation relating height and time…

A: When an object is thrown into the air and it returns to the ground, the equation relating height and…

Q: Add the following vectors using the component method. Give your answer in both component form and…

Q: If the coordinates of S1 and S2 are (2,2) and (5,-2) respectively, a) Find vectors 1 and 2. u = 1₂ -…

A: Dear student, "Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Answer the following questions based on the Vector 1: 390 miles @ 22.6° N of East Vector 2: 336…

A: Vector 1 = 390 miles 22.6 N of eastVector 2 = 336 miles 59.6 W of NorthVector 3 = 80 miles due south

Q: There is a formula that describes the range of a projectile under the conditions of this animation.…

Q: Assuming the +xaxis is horizontal to the right for the vectors in the following figure, find the…

Q: Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D…

A: initial position = origin each leg of displacement is given by the cross product of A→ and B→

Q: Exercise 2 • Calculate the vector sum F=F₁+F₂+F and assign it to the variable F. • Then calculate…

A: F1 = 0.981 N with 100F2 = 1,226 N with 1350F3 = 1 N 2350

Q: Destroyer A leaves the port of origin and stations itself 20 km to the north. On the ot hand,…

A: location A = 20 km due north location of B = 10 km due south west

Q: Draw each of the following vectors and find its x- and y-components. A) v (30 m s/, 120°) B) a =(5 m…

A: Note:-“Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Choose one equation (and only one) from the equation sheet that would let you solve the problem…

A: The peak value of speed is given by: vp=2kBTM here kB is the Boltzmann constant = 1.38×10-23 m2…

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs…

Question

100%

Can we obtain the equation of continuity in the form as in the attached image, by using the local and partial rates of change formula for vectors and scalars(please refer the other image)?

If so, can I have a detailed explanation on how to start with the formula of local and partial rates of change to obtain, the equation of continuity as in the form given in the relevant image?

Thank you!