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3 years ago

24 - 1 / 3 p = 3 /8 p

Mathematics

1 answer:

Brums [2.3K]3 years ago

6 0

Answer:

p= $\frac{576}{17}$

Step-by-step explanation:

decimal form p= 33.8823529411764705

mixed number form= 33 $\frac{15}{17}$

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Find a closed-form solution to the integral equation y(x) = 3 + Z x e dt ty(t) , x > 0. In other words, express y(x) as a fun

MrMuchimi

Answer:

$y{x} = \sqrt{7+2Inx}$

Step-by-step explanation:

$y(x)= 3 + \int\limits^x_e {dx}/ \, ty(t) , x>0}$

Let say; By y(x)= y(e)

we have;

$y(e)= 3 + \int\limits^e_e {dt}/ \, ty= 3+0$

Using Fundamental Theorem of Calculus and differentiating by Lebiniz Rule:

$y^{1} (x) = 0 + 1/ xy$

$y^{1} = 1/xy$

dy/dx = 1/xy

$\int\limits {y} \, dxy = \int\limits \, dx/x$

$y^{2}/2 Inx + C$

RECALL: y(e) = 3

$(3)^{2} / 2 = In (e) + C$

$\frac{9}{2} =In(e)+C$

$\frac{9}{2} - 1 = C$

$\frac{7}{2} = C$

$y^{2} / 2 = In x +C$

$y^{2} / 2 = In x +7/2$

MULTIPLYING BOTH SIDE BY 2 , TO ELIMINATE THE DENOMINATOR, WE HAVE;

$y^{2} = {7+2Inx}$

$y{x} = \sqrt{7+2Inx}$

8 0

3 years ago

PLS HELP Find the value of x. A. 4 B. 2 C. 7 D. 14

mars1129 [50]

Answer:

ANSWER IS B

Step-by-step explanation:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4/2

x = 2

4 0

3 years ago

Read 2 more answers

Write 47% as a fraction is simplest form.

Alona [7]

Answer:

47/100

Step-by-step explanation:

47 = 0.47 = 47/100

4 0

3 years ago

An estimator is preparing a bid for a home remodeling project. She has determined that the new garage needs 324 feet of 2 × 10

Fudgin [204]

Find area of lumber 2 x 10 = 20
garage needs 324 feet, rec room needs 430, bonus room needs 283
324 + 430 + 283 = 1037
1037/20= 51.85 feet of lumber

hope this helps

5 0

3 years ago

Read 2 more answers

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which

bija089 [108]

Answer:

The set of all real values except 7

Step-by-step explanation:

We are given that,

Domain of the function f(x) is 'the set of all real values except 7'.

Domain of the function g(x) is 'the set of all real values except -3'.

It is required to find the domain of $(g\circ f)(x)$ .

Now, we know that,

The composition $(g\circ f)(x)$ of functions $f(x)$ and $g(x)$ will be defined where the function $f(x)$ is defined.

Since, the domain of f(x) is 'the set of all real values except 7'.

Thus, the domain of $(g\circ f)(x)$ is also 'the set of all real values except 7'.

4 0

3 years ago