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Volgvan
3 years ago
9

What does it mean to integrate a function in calculus?.

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.

For instance, \int\limits^ {}2x \, dx=x^2+C because the derivative of x^2 is 2x.

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767 runners entered a race. 305 more entered before the race started. How many runners are in the race? A 1072​
boyakko [2]
1072 is the answer duh
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PLZZZZ HEEELLLPPP
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Step-by-step explanation:

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Help ༎ຶ‿༎ຶ i dont get it​
svetoff [14.1K]

Answer:

Step-by-step explanation:

You know the lengths of two sides and the angle between them, so use the Law of Cosines to find the third side.

x^2 = 10.5^2+ 5.4^2 -2(10.5)(5.4)cos20°

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3 years ago
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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
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Which of the following is the solution to 9|x +4|>54 ?
horsena [70]

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

4 0
3 years ago
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