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:
Step-by-step explanation:
A(-5,-4) B(-3, 3)
(-5 + -3)/2 = -8/2= -4
(-4 + 3)/2 = -1/2
(-4, -1/2) the midpoint
That means you are multipliying 10,000,000 by 280,509,031...
The answer is 2 because you multiply 9.8 times the mass and that will give you your answer
Answer:
It is a solution
Step-by-step explanation:
Given

Required
Determine if
is a solution
implies that:


To check if it is a solution, we simply substitute values for x and y in the given equation;




Since both sides of the equation are equal; then, Yes, it is a solution