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sdas [7]
2 years ago
11

Find the quotient.

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
4 0
See attached files for detailed solutions
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What is the exact solution of cos (17pi/6)?
kolbaska11 [484]
<span>The exact solution of cos (17</span>π<span>/6) is as follows:

First change the angle into degrees.

17(</span>π/6) (180°/π) = 510°

Then we calculate the cosine of the angle above and it as follows:

cos 510° = -(√3)/2

Hope this answers the question. Have a nice day.
4 0
3 years ago
There is a line through the origin that divides the region bounded by the parabola y=2x-4x^2 and the x-axis into two regions wit
shtirl [24]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

y = 7x - 4x² 

<span>7x - 4x² = 0 </span>

<span>x(7 - 4x) = 0 </span>

<span>x = 0, 7/4 </span>

<span>Find the area of the bounded region... </span>

<span>A = ∫ 7x - 4x² dx |(0 to 7/4) </span>

<span>A = 7/2 x² - 4/3 x³ |(0 to 7/4) </span>

<span>A = 7/2(7/4)² - 4/3(7/4)³ - 0 = 3.573 </span>

<span>Half of this area is 1.786, now set up an integral that is equal to this area but bounded by the parabola and the line going through the origin... </span>

<span>y = mx + c </span>

<span>c = 0 since it goes through the origin </span>

<span>The point where the line intersects the parabola we shall call (a, b) </span>

<span>y = mx ===> b = m(a) </span>

<span>Slope = m = b/a </span>

<span>Now we need to integrate from 0 to a to find the area bounded by the parabola and the line... </span>

<span>1.786 = ∫ 7x - 4x² - (b/a)x dx |(0 to a) </span>

<span>1.786 = (7/2)x² - (4/3)x³ - (b/2a)x² |(0 to a) </span>

<span>1.786 = (7/2)a² - (4/3)a³ - (b/2a)a² - 0 </span>

<span>1.786 = (7/2)a² - (4/3)a³ - b(a/2) </span>

<span>Remember that (a, b) is also a point on the parabola so y = 7x - 4x² ==> b = 7a - 4a² </span>
<span>Substitute... </span>

<span>1.786 = (7/2)a² - (4/3)a³ - (7a - 4a²)(a/2) </span>

<span>1.786 = (7/2)a² - (4/3)a³ - (7/2)a² + 2a³ </span>

<span>(2/3)a³ = 1.786 </span>

<span>a = ∛[(3/2)(1.786)] </span>

<span>a = 1.39 </span>

<span>b = 7(1.39) - 4(1.39)² = 2.00 </span>

<span>Slope = m = b/a = 2.00 / 1.39 = 1.44</span>

7 0
3 years ago
Uma fábrica produz 3.967 lápis feitos com madeira reflorestada por dia. Se essa produção diária for mantida, quantos lápis serão
shtirl [24]

Responder:

111076 lápis

Explicação passo a passo:

Dado :

Número de lápis produzidos por dia = 3967 lápis

Se a produção diária for mantida, o número de lápis produzidos em 28 / dias será;

Produção diária * Número de dias

3967 * 28

= 111076 lápis

4 0
2 years ago
What is 5 to the power of 3 minus 25 divided by 4?
zalisa [80]
125-25 divided by 4 is 118.75
4 0
3 years ago
PLZ HELP AND ANSWER QUICK Find the gradient of the line segment between the points (2,-3) and (-3,-8).
marta [7]

Answer:

1

Step-by-step explanation:

I assume you mean slope

(-3-(-8))/(2-(-3))=5/5=1

5 0
2 years ago
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