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Stella [2.4K]
3 years ago
14

How do you do this question?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0

Step-by-step explanation:

y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1

dy/dx = 12√x

Arc length is:

s = ∫ ds

s = ∫₀¹ √(1 + (dy/dx)²) dx

s = ∫₀¹ √(1 + (12√x)²) dx

s = ∫₀¹ √(1 + 144x) dx

If u = 1 + 144x, then du = 144 dx.

s = 1/144 ∫ √u du

s = 1/144 (⅔ u^(³/₂))

s = 1/216 u^(³/₂)

Substitute back:

s = 1/216 (1 + 144x)^(³/₂)

Evaluate between x=0 and x=1.

s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]

s = 1/216 (145)^(³/₂) − 1/216

s = (145√145 − 1) / 216

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Thepotemich [5.8K]
H = 151t - 16t²

The height of the ball when it return to the ground will be 0
0 = 151t - 16t²

The zero product property is that when two numbers are being multiplied and the product is 0, one of them must be equal to 0. Therefore, we can factorize this equation:
16t² - 151t = 0
t(16t - 151t) = 0
By the zero product property:
t = 0   or  16t - 151 = 0

So t = 0 or t = 9.44 seconds

The first solution is before he releases the ball and the second is when the ball comes back to the ground. Thus, the ball's air time is 9.44 seconds.
6 0
3 years ago
All sides of ABC are tangent to circle P.<br> What is the perimeter of the triangle below?
arlik [135]

I got an answer of 58.

Subtract 10 from the side length of 24 to get 14.

And use the side length of 5 to find another side length that also equals 5.

In total all your side lengths would be 10,5,5,24,14. And all of them together to arrive at an answer of 58.

6 0
3 years ago
Which of the following is a point-slope equation of a line that passes through
Helen [10]
A

i need to put 20 characters in here so imma tell you, just use desmos.com. if you type in the equations, it’ll show you the graph
6 0
3 years ago
e) Given the following: Let X = {1, 2, 3, 4) and a relation R on X as R= {(1,2), (2,3), (3,4)}. Find the reflexive and transitiv
Naddika [18.5K]

Answer:

The answer is \{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}

Step-by-step explanation:

Remember that a reflexive relation R\subset \mathcal{P}(X), where \mathcal{P}(X) is the power set of X, is one which conteins the ordered pairs of the form (a,a), for a\in X.

So, As the reflexive and transitive closure of R (that we will denote by \overline{R}) is in particular reflexive, we must add to R  the elements \{(1,1) , (2,2),(3,3),(4,4) \}

A transitive relation R is one in which if the pair (a,b) and the pair (b,c) are in there, then the pair (a,c) must be there too.

So, to complete the relation R to be reflexive and transitive we must add the pair (1,3) (because (1,2),(2,3) are in R), the pair (2,4), and the pair (1,4) because we added the pair (2,4).

Therfore we have that \overline{R}=\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}.

6 0
3 years ago
Solve this plssssssssssss
Kobotan [32]

Answer:

2 x^ (3/2)

Step-by-step explanation:

(x^2+x^2)

----------------

x^1/2

Combine like terms

2x^2

-----------

x^1/2

When dividing exponents with the same base, we subtract

a^b/ a^c = a^ (b-c)

2 * (x^2/ x^1/2) = 2( x^(2-1/2)) = 2 * x^ (3/2)

4 0
3 years ago
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