Answer:
The bounded area is 5 + 5/6 square units. (or 35/6 square units)
Step-by-step explanation:
Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)
Such that f(x) > g(x) in the given interval.
This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).
We want to find the area bounded by:
f(x) = y = x^2 + 1
g(x) = y = x
x = -1
x = 2
To find this area, we need to f(x) - g(x) between x = -1 and x = 2
This is:
We know that:
Then our integral is:
The right side is equal to:
The bounded area is 5 + 5/6 square units.
Answer:
The diagonals are congruent.
Step-by-step explanation:
Space is a way of joining together points, lines and...
Shapes
Answer:
6.36l
Step-by-step explanation:
We compute first the volume:
V=pi×h/3×(R²+r²+rR), where h=20cm is the height, R=24/2=12cm is the top radius, r=16/2=8cm is the bottom radius.
We get: V=pi×20/3(12²+8²+12×8)=
20×pi/3(144+64+96)cm³
V=20×pi/3×304=6363.73cm³
In dm³ we have (divide by 1000) V=6.36dm³
By definition, 1dm³=1l, so the capacity is 6.36l
SOLUTION
We are told to translate; (x, y) to (x -8, y). This means we have to add - 8 to each value of x in P(-5,1), Q(-4,6), and R(-2,3).
In P(-5,1), x = -5 and y = 1
In Q(-4,6), x = -4 and y = 6 and
In R(-2,3), x = -2 and y = 3
For the dilation centered at the origin k =2, simply multiply the value of k, which is 2 into the translations.
