Calculate ∫c(3(x2−y)i⃗ +6(y2+x)j⃗ )⋅dr⃗ if: (a) c is the circle (x−3)2+(y−1)2=16 oriented counterclockwise. ∫c(3(x2−y)i⃗ +6(y2+x)j⃗ )⋅dr⃗ = 0 (b) c is the circle (x−a)2+(y−b)2=r2 in the xy-plane oriented counterclockwise. ∫c(3(x2−y)i⃗ +6(y2+x)j⃗ )⋅dr⃗ =

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x: f(x) = 10(1.3)xwhich of the following graphs best represents the function? graph of f of x equals 1.3 multiplied by 10 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity graph of f of x equals 10 multiplied by 1.3 to the power of x graph of f of x equals 1.3 to the power of x