The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0 is 16/3 or 5.333 square units.
<h3>What is an area bounded by the curve?</h3>
When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0
The intersection points will be
y₁ = y₂
4 - 4x² = 0
x = ±1
Then the area bounded by the curves will be
![\rm Area = \int _{-1}^1 (y_1- y_2) dx\\\\Area = \int _{-1}^1 (4 - 4x^2) dx\\\\Area = \left [ 4x - \dfrac{4x^3}{3} \right ]_{-1}^1\\\\Area = 4 \left ( 1 + 1 \right ) - \dfrac{4}{3} \left ( 1^3 - (-1)^3 \right )\\\\Area = 8 - \dfrac{8}{3}\\\\Area = \dfrac{16}{3} = 5.333 \](https://tex.z-dn.net/?f=%5Crm%20Area%20%3D%20%5Cint%20_%7B-1%7D%5E1%20%28y_1-%20%20y_2%29%20dx%5C%5C%5C%5CArea%20%3D%20%5Cint%20_%7B-1%7D%5E1%20%284%20-%204x%5E2%29%20dx%5C%5C%5C%5CArea%20%3D%20%5Cleft%20%5B%204x%20%20-%20%5Cdfrac%7B4x%5E3%7D%7B3%7D%20%5Cright%20%5D_%7B-1%7D%5E1%5C%5C%5C%5CArea%20%3D%204%20%5Cleft%20%28%201%20%2B%201%20%5Cright%20%29%20-%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cleft%20%28%201%5E3%20-%20%28-1%29%5E3%20%5Cright%20%29%5C%5C%5C%5CArea%20%3D%208%20-%20%5Cdfrac%7B8%7D%7B3%7D%5C%5C%5C%5CArea%20%3D%20%5Cdfrac%7B16%7D%7B3%7D%20%3D%205.333%20%5C)
More about the area bounded by the curve link is given below.
brainly.com/question/24563834
#SPJ4
Answer:
384
Step-by-step explanation:
You can find it by dividing 512 to 4 parts
512 divided by 4 = 128
Now multiply 128 by 3 because the cube is 3/4 full
128 * 3 = 384
384 is your answer
Answer:
step 4
Step-by-step explanation:
because y is equation 2 is -y so the sign should have changed for -2x it should have been +2x since - and - equals to +
Answer:
M= -4/2 B=5
Step-by-step explanation:
First we know that when a line is slanted like this \ it is automatically negative. So then we plot 2 points on the line , make a right traingle and count the points across the x axis and then up the Y axis . X will be on the bottom(2) and Y on the top(4). Add the negative sign. Therefor M = -4/2
Now to find B we need to find the point where the line intercepts the Y axis. we see that it touches the Y axis at 5. Therefor B= 5
Answer:
What is the POTW clubhouse.
120x120x100= your answer.
the answer is 1,440,000. hope I helped
