Answer:
0 & 0
Step-by-step explanation:
since the equation is missing the constant term the line is passing through the origin
and the line don't make any intercept on both the axes.
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.
× 2
2 =
Numerator × numerator
Denominator × denominator
×
<span>Entering the expressway is a hazardous vehicle maneuver.
</span>The answer is True
The volume is 1012 cm³.
The volume of a right prism is found by multiplying the area of the base and the height. First we need to convert the height to centimeters.
1 dm = 10 cm
2.3 dm = 2.3(10) = 23 cm
Now we have 44(23) = 1012 cm³
