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weqwewe [10]
4 years ago
11

Find the general indefinite integral. (Use C for the constant of integration.) u7 − 4u6 − u4 + 6 3 du

Mathematics
1 answer:
tamaranim1 [39]4 years ago
3 0

Answer:

u^8/8 - 4u^7/7 - u^5/5 + 2u + C

Step-by-step explanation:

Find the solution to the integral question in the attachment.

Given ∫(u7 − 4u6 − u4 + 6/3)du

The solution to the integral is expressed as;

u^8/8 - 4u^7/7 - u^5/5 + 2u + C

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A theater has 500 seats. Three fourths of the seats are filled how many seats are filled

375 seats are filled

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6 decigrams = milligrams
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1 decigram = 100 milligrams

6 decigrams = 600 milligrams
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Find the vertex of this parabola: y=-4x^2+8x-12
tatiyna
<span>The vertex of the parabola is the highest or lowest point of the graph. 

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3) 

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square? 
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original 
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8
4 0
3 years ago
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In addition to the facts in the diagram which statements is necessary to prove that the two triangles are congruent by the SAS c
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The angles should be included between the equal sides
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A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl
AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

m=\frac{8-5}{1+5}

m=\frac{3}{6}

m_A_B=\frac{1}{2}

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

m=\frac{2-8}{4-1}

m=\frac{-6}{3}

m_B_C=-2

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

m=\frac{-2-2}{-2-4}

m=\frac{-4}{-6}

m_C_D=\frac{2}{3}

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

m=\frac{-2-5}{-2+5}

m=\frac{-7}{3}

m_A_D=-\frac{7}{3}

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

m_A_B=\frac{1}{2}

m_C_D=\frac{2}{3}

so

m_A_B \neq m_C_D

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0
3 years ago
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