Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
Answer: 8
Step-by-step explanation: numbers are 5 and 3.
5²·3 =75
Answer:
I believe its 2 so sorry if im wrong
Step-by-step explanation:
Answer:
a)0.25
b)0.375
Step-by-step explanation:
Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6
Even= 2,4,6
Odd = 1 ,3 , 5
Probability of getting even =
Probability of getting odd =
4 dices are rolled together
a)P(3 even and 1 odd numbers)
P(3 even and 1 odd numbers)=
P(3 even and 1 odd numbers)=
b)P(2 even and 2 odd numbers)
P(2 even and 2 odd numbers)=
P(3 even and 1 odd numbers)=
=0.375
Here, the equation of parabola is: (-36y)=x^2
The standard form of parabola is:
(X-h)^2=4p(y-k).
According to given equation, vertex = (0,0) and p = -9
This a vertical parabola opening down, because p = -9 here.
Therefore ditectrix will be y= -9
