In 2 If we reverse the order of integration o f(c, y)dy da, then we obtain: Select one: O a So f(x, v)dz dy O b.f f(z,y)dz dy O c Sny f(z, y)dx dy O d. Sy f(z, y)dz dy

Q: df If f(x,y,z) =yzln(xyz) then dz 1 in(xyz)+ xyz O b. yln(xyz) + y O c. yln(xyz) + 1 O d. In(xyz) +…

A: Given function: fx,y,z=yzlnxyz The partial derivative of function with respect to z is:…

Q: df If f(x,y,z) = In(x² – y²z+ yz³) then find Əz 3yz? + y? (x² - y²z + yz³) 3yz? - y? (x² – y²z +…

A: The equation is fx, y, z=lnx2-y2z+yz3.

Q: If f(x, y) = xy then: V f(1, – 1) =

A: Given function is,  f(x,y)= xy

Q: Find dy dr || - for y = dr r S 9 +10t2 dt. 0

A: To find dydr for y=∫0r9+10t2 dt.

Q: Given f(x, y) = 2x* – 4xy – 2y?, find frr(x, y) = fzy(z, y) =

A: Solving the problem by finding the partial derivative.

Q: f (x,y) = xe2xy + ysen(x2) + 4x, find fxy.

A:

Q: "ind where f(x, y, z) = e²´y and x = Vuv, y = ; %3D dv

A: To find the partial derivative using chain rule

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.