Given f(x, y) = 2xy - x²y. Compute: 8²f dx² 8² f dy²

Q: Given f(x, y) = x³y + 7xy². Compute: 8²f 8x² 8²f by²

A:

Q: f(r, y) : = V3x? + 4y? fz(3, – 2) =|

A:

Q: Find the antiderivtive: 10x6+ 8x + 9 x8

A:

Q: Finds 2) S 12x-31 dx

A:

Q: F Só So dx dy. x2+1

A:

Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

A:

Q: dy Exc: " of y = csch(Vx³ – x²)6 %3D - dx

A: Differential calculus is one of two main parts of calculus which is concerned with the study of…

Q: Evaluate: d dxJ (21² + 5)² dt.

A:

Q: Evaluate Jo (2x - y) dx + (x + 5y) dy. C: x-axis from x = 0 to x = 6

A:

Q: dute tind fy (X, if f(x,Y) SX+34+3

A:

Q: (d) fbx ²²+1 dr br

A: We can evaluate the given integral by using the substitution u = ax2 + 1

Q: Evaluate the integral 1 √xe √x : ² (2e √x - 3) dx 2 CSC

A:

Q: Find dy dx

A: The given equation is y3+y2-5y-x2=-4. Differentiate both sides with respect to x as follows.

Q: (2a + 3y)dA where D = {(x, y) | x² + y? 0} . Find Round your answer to four decimal places.

A: The given integral is: I=∫∫D (2x+3y) dAwhere D= (x, y) | x2+y2≤16, x≥0

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

A: