Y=6x is bigger because they have the same variables, but the known numbers in the first equation are doubled
Potatoes cost $1.20 / kg. If you buy 0.8 kg, how much are the potatoes? (Answer $0.96)
Answer:
I = ∫₀¹ eˣ dx
I = ∫₀¹ e⁻ˣ dx
Step-by-step explanation:
Trapezoidal rule will be an overestimate if the function is concave up.
We can determine this by looking at the graph, or by evaluating the second derivative. If the second derivative is positive on the interval, the function is concave up.
f(x) = eˣ
f'(x) = eˣ
f"(x) = eˣ
On the interval [0, 1], f(x) is concave up.
f(x) = e⁻ˣ
f'(x) = -e⁻ˣ
f"(x) = e⁻ˣ
On the interval [0, 1], f(x) is concave up.
f(x) = √x = x^½
f'(x) = ½ x^(-½)
f"(x) = -¼ x^(-³/₂)
On the interval [0, 1], f(x) is concave down.
f(x) = sin x
f'(x) = cos x
f"(x) = -sin x
On the interval [0, 1], f(x) is concave down.
Answer:
The attendance when the team won 4 games in the previous month is 525
Step-by-step explanation:
The attendance for a team's basketball game can be approximated with the polynomial : 
x represents the number of wins the team had in the previous month.
Factor the polynomial :
Substitute the value of x = 4
The attendance when the team won 4 games in the previous month = -5(4+3)(4-19)=525
Hence The attendance when the team won 4 games in the previous month is 525
