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arsen [322]
1 year ago
9

Please help!

Mathematics
1 answer:
Murrr4er [49]1 year ago
3 0

The integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2

<h3>How to integrate between two curves?</h3>

We are given the functions as;

y = ¹/₂x - 2

y = ∛x

Now, from the graph the coordinate of the point where both curves intersect is at; (8, 2)

Thus, the x-coordinate here is x = 8

∛x - (¹/₂x - 2)

∛x - ¹/₂x + 2

Similarly, another point of intersection of both curves is at the coordinate (0, -2). Thus, the x-coordinate here is; x = 0

Thus, the integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2

Read more about Integration at; brainly.com/question/16415788

#SPJ1

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Z divided by 3-2z + 4(z-8) when z = 18 <br><br> A. -122<br> B. 6<br> C. -66<br> D. 10
murzikaleks [220]

Everywhere you see z, replace the letter with 18.

z/[(3- 2z)] + 4(z - 8)

18/[(3 - 2(18))] + 4(18 - 8)

You finish.

3 0
2 years ago
What is the positive solution of x square minus 36 equals 5x
777dan777 [17]
Answer:

<span>⇒x=9</span> (positive solution)

Explanation:

<span><span>x2</span>−36=5x</span>

<span>→<span>x2</span>−36−5x=0</span>

Factor the expression:

We get:

<span><span>(x−9)</span><span>(x+4)</span>=0</span>

First solution:

<span>⇒<span>(x−9)</span>=<span>0<span>x+4</span></span></span>

<span>⇒<span>(x−9)</span>=0</span>

<span>⇒x=<span>9</span></span>

3 0
3 years ago
What is the fill in the blank answers?
Olenka [21]
Think first is Distributive Property
Combine any LIKE TERMS
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I think these are the answers hope it helps!
4 0
2 years ago
A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an avera
KengaRu [80]

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

8 0
3 years ago
Use the parabola tool to graph the quadratic function f(x)=(x−4)(x+2). Graph the parabola by first plotting its vertex and then
Andrew [12]

Answer: erm... the vertex it (1,-9)

Step-by-step explanation:

i think i did it right....not good at this stuff

4 0
3 years ago
Read 2 more answers
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