Answer:
It is the parabola x^2 moved to the right. So 3rd option.
Check my explanation below
Step-by-step explanation:
Close. You correctly set up the integrals. When integrating e²ˣ:
∫ e²ˣ dx
½ ∫ 2 e²ˣ dx
½ e²ˣ + C
So the coefficient should be ½, not 2.
[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹
[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]
1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1
-e⁻¹ + ½ e⁻² + ½ e² − e + 1
Answer:
45
Step-by-step explanation:
The points on the graph :
(4, 180) ; (7, 135)
x1 = 4 ; y1 = 180
x2 = 7 ; y2 = 315
The number of soda bottles the machine can make in a minute is the gradient or slope :
Gradient = change in y / change in x
Gradient = (y2 - y1) / (x2 - x1)
Gradient = (315 - 180) / (7 - 4)
Gradient = 135 / 3
Gradient = 45
Hence, the machine can make 45 soda bottles in a minute.
I'm not completely sure, but I think you do 2 times itself twice which would get you 8..
Answer:
Step-by-step explanation
Expression: Another way of expressing emotions just with the face.
Term: Used to express a concept of some sort, and heavily used in math.
Coefficient: Numeral quantity contained in algebraic expressions.
Variable: Something liable to change; Also a pattern.
Factor: A circumstance that can be a fact, or a influence that ends up with a outcome.
Constant: occurring over and over during a period of time.
