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2 years ago

How do I use the definite integral to find the area between x-axis and f(x) over the indicated interval

Mathematics

1 answer:

jarptica [38.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

FYI :

$\int\limits^4_1 {x^{-\frac{1}{2} } } \, dx$ = 2√x (from 1 to 4) = 2√4 - 2√1 =<em> 2</em>

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Factorise fully x^3-x

MA_775_DIABLO [31]

Answer:

$x(x+1)(x-1)$

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

$x^3-x=x(x^2-1)$

Now notice that we have a difference of squares ( $x^2-1$ ). Given a difference of squares, $a^2-b^2$ , this can always be factored into $(a+b)(a-b)$ . We can use this in this case: $x^2-1=(x+1)(x-1)$ .

So, our final factorized form is: $x(x+1)(x-1)$ .

Hope this helps!

3 0

3 years ago

I need help with this 8

zubka84 [21]

The complete proof for the given parallelogram is given in the image attached below.

<h3>What is a Parallelogram?</h3>

A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.

The complete proof would be as shown below:

1. ABCD is a parallelogram [given]

2. AB║CD [Definition of parallelogram]

3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]

4. AB ≅ CD [Definition of parallelogram]

5. ΔABE ≅ ΔCDE [ASA]

6. AE ≅ CE, BE ≅ DE [CPCTC]

7. AC and BD bisects each other at E [definition of segment bisector]

Learn more about parallelogram on:

brainly.com/question/3050890

#SPJ1

6 0

1 year ago

The graph of a linear equation passes through three of these points: (0, 5), (2, 2), (3, 1), and (4, -1). The point that the gra

dlinn [17]

Label the given points as follows:
A (0, 5)
B (2, 2)
C (3, 1)
D (4, -1)

The straight line has a constant slope. Therefore it should have the same value when any two of the four points are used to calculate the slope.

Try A and B:
Slope = (2 - 5)/(2 - 0) = -3/2

Try A and C:
Slope = (1 - 5)/(3 - 0) = -4/3

Try A and D.
Slope = (-1 - 5)/(4 - 0) = -3/2

Try B and D.
Slope = (-1 - 2)/(4 - 2) = -3/2

Clearly, C does not lie on the straight line.

Answer: The point that the graph does not pass through is (3,1).

5 0

3 years ago

la rueda de una bicicleta tiene una circunferencia de dos metros cuanto avanzara esta bicicleta si su rueda gira a 900 grados

romanna [79]

Im english speak english sorry

8 0

3 years ago

Read 2 more answers

7. Manuel buys his grandmother a bunch of flowers for $12.95 and buys some candy for his mother for $2.76. If he has $7.83 left,

xxMikexx [17]

Answer:

$23.54