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Juli2301 [7.4K]
3 years ago
12

Suppose that a point moves along some unknown curve y = f(x) in such a way that, at

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

f(x) = x³/3 - 5/3

Step-by-step explanation:

To get the equation of the curve, integrate the slope

f(x) = integral of x²

= (x^(2+1))/3 + c

f(x) = x³/3 + c

To find c, use the given point

1 = 2³/3 + c

c = 1 - 8/3 = -5/3

f(x) = x³/3 - 5/3

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Akimi4 [234]

Answer:

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Step-by-step explanation:

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3 years ago
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How many parts are there in the format of a two-column proof?
iogann1982 [59]
There is 6 parts in a two column format.
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2 years ago
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Find the area of the shape shown below.
miskamm [114]

Answer:

28 units^2

Step-by-step explanation:

1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).

2. Next, we should know the area formulas of the square and trapezoid.

  • Square: s^2, where s = side
  • \frac{a+b}{2}h, where a and b = top and bottom and h = height

3. Solving Area of Square and Trapezoid

  • 4^2 = 4 * 4 = 16. Area of square is 16
  • \frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12. Area of trapezoid is 12.
  • 16 + 12 = 28

Therefore, the area of the figure is 28 units^2.

5 0
2 years ago
From a tap 60 ml of water is leaked within 5 minutes. Find the wasted amount of water within 2 hours from this tap​
GREYUIT [131]

Answer:

1440 mL

Step-by-step explanation:

2 hours = 120 minutes

120/5 = 24

24 * 60 = 1440

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6 0
2 years ago
12345678910 Using the greatest common factor for the terms, how can you write 80 + 32 as a product?
Romashka-Z-Leto [24]
Find the GCF of 80 and 32.  

I'd start by identifying possible integer factors of both 80 and 32:
80:  {1,2,4,5,8,10,16,20, 40, 80}

32:  {1, 2,4, 8, 16, 32}

Working backwards, we see that the first factor that is represented in both lists is 16.  Is 80 evenly divisible by 16?  Yes; the quotient is 5.
                  Is 32 evenly divisible by 16?  Yes; the quotient is 2.

You could writet 80 + 32 as 16(5 + 2).  This is a product equal to 112, just as 80 + 32 = 112.
5 0
3 years ago
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