sketch the graph of the function y=20x-x^ ^ ^2 and approximate the area under the curve in the interval [0, 20] by dividing the area into the given numbers of rectangles. Part A; use five rectangles to approximate the area under the curve. Part B: use 10 rectangles to approximate the area under the curve. Part C: calculate the area under the curve using rectangles as their number becomes arbitrarily large (tends to infinity) you do not need to sketch the rectangles

3

step-by-step explanation:

what is the original number? you forgot to add it.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: