2. the region r is the region bounded by y = ex , the x-axis, from x = 0 to x = 1. a) setup the integral or integrals needed to find the area of r using partitions along i. the x-axis ii. the y-axis. b) using the method of disks or washers, set up the integral or integrals needed to find the volume when the region r is revolved about i. the x-axis ii. the y-axis iii. the line y = e. c) using the method of cylindrical shells, set up the integral or integrals needed to find the volume when the region r is revolved about i. the x-axis ii. the y-axis iii. the line y = e

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.