All categories

2 years ago

Find the area of the region enclosed by the curves yequals

Mathematics

1 answer:

Step2247 [10]2 years ago

6 0

The area enclosed by the given 2 curves is; 8/3 or 2.67

<h3>How to Solve Integration with Limits?</h3>

We want to find the area enclosed by the curves;

y = x² - 2x

y = -x² + 2x

The point of intersection of the parabola and the line is given by;

x² - 2x = -x² + 2x

2x² - 4x = 0

Solving this gives;

x = 0, 2

Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;

A = ∫₀² (-x² + 2x - x² + 2x)

A = ∫₀² (-2x² + 4x)

Using online integration calculator here gives;

A = 2.67

Read more about Integration at; brainly.com/question/14388434

#SPJ1

You might be interested in

Help me find domain? Please

dedylja [7]

This graph is that of a parabola, which in turn represents a quadratic (2nd order) equation, also a polynomial. The domain of any and all polynomial(s) is "the set of all real numbers," or (-infinity, infinity).

4 0

3 years ago

Could y’all help me out with this?

Aneli [31]

Answer:

M' (5,-1)

D' (5,1)

A' (3,4)

W' (4,-1)

Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

D(1,5) ----> swap x and y values -----> D'(5,1)

A(4,3) -----> swap x and y values -----> A'(3,4)

W(-1,4) -----> swap x and y values -----> W'(4,-1)

So the coordinates of Quadrilateral MDAW after a reflection over the y = x line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

4 0

3 years ago

Your carry on bag can weigh at most 40 ponds. Write and solve an inequality to represent how much more weight you can add to the

Alborosie

Answer:

82ibs - 40ibs = 22ibs

Step-by-step explanation:

5 0

4 years ago

Q # 20 please help to solve

spin [16.1K]

If submarine is at the surface (the initial position) and then dives 375 ft, the coordinate of submarine becomes -375 ft <span>relatively to the initial position. When the submarine dives another 175 ft down, the coordinate of submarine becomes -375-175=-550 ft relatively to the initial position.
</span>
Answer: Correct choice is A.
<span />

8 0

3 years ago

Keegan leans an 18-foot ladder against the top of a wall. The bottom of the ladder is 4.5 feet from the base of the wall. What i

zaharov [31]

Answer: C. 17.5 feet

Step-by-step explanation:

The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

18^2 + 4.5^2 + BC^2

BC^2 = 324 - 20.25 = 303.75

BC = √303.75 = 17.5 feet.

3 0

3 years ago