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vovikov84 [41]
3 years ago
15

Write a definite integral that represents the area of the region. (Do not evaluate the integral.)

Mathematics
1 answer:
joja [24]3 years ago
8 0

Answer:

\int_{-1}^{1}7(x^{3}-x)\:dx

Step-by-step explanation:

1)  The other curve is y=0 then the common points of both curves are x-intercepts, the roots of y=7(x^{3}-x)

y=7(x^{3}-x)\Rightarrow 7(x^3-x)=0 \Rightarrow 7(x^{3}-x)=7x(x-1)(x-1)\Rightarrow \\S=\left ( 0,0 \right ),\left ( -1,0 \right ),\left ( 1,0 \right )

2). Then those intersection points are the upper and the lower limits. Plugging in to this formula for they belong to the interval [-1,1]:

\int_{a}^{b}|f(x)-g(x)dx

\int_{a}^{b}|f(x)-g(x)dx \Rightarrow \int_{-1}^{1}|7(x^{3}-x)-0|dx \Rightarrow \int_{-1}^{1}7(x^{3}-x)\:dx

 

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Suppose a food scientist wants to determine whether two experimental preservatives result in different mean shelf lives for bana
melomori [17]

Answer:

The two sample t-test

Step-by-step explanation:

The appropriate test for thus is the two sample t test which is also known as the independent t test. This tests aims at determined whether there is a statistically significant difference between the means in two unrelated groups which in this context are a random sample with one type of preservative and another sample with another type of preservatives.

With this test, the researcher is able to compare the mean shelf lives of the bananas treated with the two different preservatives... The null hypothesis equalises the two means of the sample while the alternative does otherwise.

3 0
3 years ago
Round this number to the given place values:
nataly862011 [7]

Answer:

Ones place: 456.3000

tenths place: 456.3000

hundredths place: 456.2990

thousandths place: 456.2991

5 0
3 years ago
Can anyone help me out on this
Licemer1 [7]

Answer:

y=x+10

Step-by-step explanation:

y=mx+b

y=1x+b

1 because for every 10 it goes to the right, it goes up 10 as well.

b=10 because the function crosses the y-axis at 10

so

y=x+10

4 0
3 years ago
What is the equation of the line that passes through the point (-3, 4) and has a slope of 1?​
Tresset [83]

Answer:

the eq of line y= x+7 for sure

4 0
3 years ago
The lengths of three sides of a triangle are (x + 6) inches, (2x - 2) inches, and (2x+ 6) inches.
Kamila [148]

Answer:

21 inches answer F

Step-by-step explanation:

x+6+2x-2+2x+6=85

5x+10=85

5x=75

x=15

shortest is x+6

15+6

21.

Hope this helps plz hit the crown :D

5 0
3 years ago
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