Compute the flux of the vector field F =2xi +3yj through the cylindrical surface shown below, if a=3 and b=8 and it is oriented away from the z-axis.

Use the equation giving the flux of the vector field across the curve to calculate the flux of x + 1 y lã (x + 1)² + y²' (x + 1)² + y² F(x, y) = across C, the segment 7 ≤ y ≤ 9 along the y-axis, oriented upwards. (Use symbolic notation and fractions where needed.) I F. dr =

a. Find the x- and y-components of the vector d→ = (4.0 km , 26° left of +y-axis). b. Find the x- and y-components of the vector v→ = (3.0 cm/s , −x-direction). c. Find the x- and y-components of the vector a→ = (16 m/s2 , 36 ∘ left of −y-axis).

Compute the flux of the vector field = zi + 4y3 through the cylindrical surface shown below, if a = 2 and b = 2 and it is oriented away from the z-axis. flux = a