12^3 = 1728; 14^3 = 2744;
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:
what do you want me to do actuallt the pic is Unclear?
The number of birthday cards made is 72.
<h3>Description of ratios</h3>
Ratio expresses the relationship between two numbers. It shows the frequency of the number of times that one value is contained in another number. The sign used to represent ratios is :
<h3>Determining the total cards made. </h3>
Total card = (sum of ratios x number of get well cards) / ratio of get well cards
(11 x 60) / 5 = 132
<h3>Number of birthday cards made </h3>
6/11 x 132 = 72 cards
To learn more about ratios, please check: brainly.com/question/25927869
