Evaluate the line integral, where c is the given curve. (x + 4y) dx + x2 dy, c c consists of line segments from (0, 0) to (4, 1) and from (4, 1) to (5, 0)

Parameterize the line segments (call them and , respectively, by

both with . Then

(c, 0) i might be wrong so don't put full faith on my answer

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.