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Burka [1]
3 years ago
7

If f(x) = -1/x, then f'(x) = 1/x^2. Theorem seems to suggest that the integral from -1 to 1 of 1/x^2 dx would equal f(1) - f(-1)

= -1 -1 = -2. But 1/x^2 is a positive function and so its integral over [-1,1] should be positive. What is wrong here?
Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Answer:

The flaw is at x=0 where the function is not defined

Step-by-step explanation:

For any function we have

F(x)=\int f(x)dx

The integral can be evaluated only if the function f(x) is defined in the interval [a,b] in which this integral is evaluated

In our our case function f(x) is not defined at x=0 in the interval [-1,+1] thus this results in the flaw that we have obtained in the reasoning

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Please answer the question because I don’t understand can you answer please!,,
Minchanka [31]

Answer:y= 2x+7


Step-by-step explanation:

They are all pretty much want you to create the equation so the formula they want is y=mx+b format.


First problem(1,9) slope 2


Y=mx +b


Where y is 9,x is 1 and slope (m) is 2.


Now solve for b using equation


Y=mx +b

9= 2(1)+b

9=2+b

9-2=b

7=b


Now you can create equation


Y= 2x+7


Prob.4


(3,-6) and (-1,2)


First find slope


M= y2-y1/x2-x1

M= 2-(-6)/-1-3

M = 8/-4


M= -2


Your slope "m" is -2


Now do as problem 1 get one of the points and your slope to get equation .


(3,-6) slope -2

Y=mx+b

-6= -2(3)+b

-6= -6+b

-6+6=b

0=b


Y= -2x


Problem 7


(5,13) (10,14)


You solve this one as problem 4 same steps that I did above .


Problem 8 is also the same as steps in problem 4


( 2,160) and ( 2.75,220)


I hope this helps you

5 0
4 years ago
Find the value of x for these. Geometry
diamong [38]

I'll do the first problem to get you started.

Triangle SRT is a right triangle with the 90 degree angle located at angle RST. This is because segment SR is an altitude of the triangle. Altitudes of a triangle go from a vertex to the opposite side, and they are perpendicular to the opposite side.

The acute angles of right triangle SRT add up to 90 degrees. They are complementary angles.

(angle SRT) + (angle STR) = 90

(4x-8) + (6x+13) = 90 .... substitution

10x + 5 = 90

10x + 5 - 5 = 90 - 5 .... subtract 5 from both sides

10x = 85

10x/10 = 85/10 .... divide both sides by 10

x = 8.5

Therefore the answer is choice A) x = 8.5

3 0
3 years ago
What is the 12th term of the sequence: 48,44,40,36...
Anvisha [2.4K]

Answer:

12

Step-by-step explanation:

The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.

Hope that this helps!

4 0
3 years ago
Help. I need an 80 in math by Friday, brainliest if you can help.
ehidna [41]

Answer:

26

Step-by-step explanation:

To find the area of the three combined shapes, multiply the length times the width of each and add them together. Five times two is 10, and since there are two identical rectangles (the top and the bottom one), the current combined area is 20. Three times two is 6. 20 + 6 = 26.

4 0
3 years ago
Help me please!!!!!! It’s math btw.
FrozenT [24]
1.  The 5/65 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
\frac{5a^3 bc^2}{65 a^4 bc} = \frac{c}{13a}

2.  The 10/125 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
\frac{10a^3bc^2}{125a^4bc} = \frac{2c}{25a}

3.  The 65/5 simplifies, the a³ moves to the numerator, and bc is canceled from the numerator and denominator.
\frac{65a^4 bc^2}{5a^3 bc} = 13ac

4.  The 10/130 simplifies, the b² cancels out in the numerator and denominator, and the c^4 moves to the numerator.
\frac{10b^2 c^5}{130a^4b^2c^4} = \frac{c}{13a^4}

5.  The 10/130 simplifies, the b² cancels out in the numerator and denominator, the a^4 moves to the numerator, and the c^4 moves to the numerator.
\frac{10a^5b^2c^5}{130a^4b^2c^4} = \frac{ac}{13}


I believe the only expression that simplifies to \frac{c}{13a} is the first one.
7 0
3 years ago
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