Select the third function, y = 2 cos(x),

and set the interval to [−4.01, 4.01].

(a) With 10 rectangles using left endpoints, how many rectangles are contributing negative area values to the estimated net area?

How many are positive?

(b) What is the error when using midpoints with 10 subintervals? (Do not round your answer.)

What is the ratio of the left-endpoint approximation error to the midpoint error? (Round your answer to two decimal places.)

(c) Of the available choices, how many subintervals are required to give a midpoint approximation accurate to 2 decimal places?

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.

do have an equation or graph or

step-by-step explanation: