A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x → 0 (x2 cos 19πx) = 0. Illustrate by graphing the functions f(x) = −x2, g(x) = x2 cos 19πx, and h(x) = x2 on the same screen. Let f(x) = −x2, g(x) = x2 cos 19πx, and h(x) = x2. Then ≤ cos 19πx ≤ right double arrow implies ≤ x2 cos 19πx ≤ . Since lim x→0 f(x) = lim x→0 h(x) = , by the Squeeze Theorem we have lim x→0 g(x) = .

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

-60.75

step-by-step explanation:

just add the numbers then put the negative sign on it