Let f= 6(x+y)i + 6 sin(y)j,. find the line integral of f around the perimeter of the rectangle with corners (50) traversed in that order.

line integral =

-333.04656

Step-by-step explanation:

F can be rewritten as

The path C on which we are going to evaluate the integral is

All the paths can be parametrized with parameter t (0≤ t≤ 1)

Parametrization of

r(t) = (5,0)+t((5,7)-(5,0)) = (5,0)+t(0,7) = (5,7t)

Parametrization of

r(t) = (5,7)+t((-3,7)-(5,7)) = (5,7)+t(-8,0) = (5-8t,7)

Parametrization of

r(t) = (-3,7)+t((-3,0)-(-3,7)) = (-3,7)+t(0,-7) = (-3,7-7t)

Parametrization of

r(t) = (-3,0)+t((5,0)-(-3,0)) = (-3,0)+t(8,0) = (-3+8t,0)

Finally

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

b i think

step-by-step explanation:

not really sure