Apply Green's Theorem to evaluate the integral (4y² dx + 4x² dy), where C is the triangle bounded by x=0, x+y=1, and y=0. *** (4y² dx + 4x² dy) = (Type an integer or a simplified fraction) C

Q: Determine which of the following sets are linearly independent. V = -3 -2 5 -6 7 V and U U only V…

A:

Q: d) S */2x - ldx

A: To integrate (x⁸ ⁵√(2x³-1) dx)

Q: Evaluute the integra dx 0 16+49x2

A: Here we have to evaluate I=∫-∞∞dx16+4x2

Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

A:

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: Evaluate the integral f 2x (x2 + 5)" dx using the substitution 16 u = x + 5. 16 2x (x² + 5)" dx = +C

A: Solve integration

Q: dx sin (7x)[7-cot2(7x)]

A:

Q: (y5 – x²e») dx dy -11-3

A:

Q: Let q > 0. The integral 1 %3D (4x + 3)5 8.

A:

Q: Let T be the function T: R³ R2 given by + (1)-[*] (ED) T (a) Show that T is a linear transformation.…

A: