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Dafna1 [17]
3 years ago
7

Given that S^3 on the bottom 1 (e^x)dx=(e^3)-e use the properties of integrals and this result to evaluate S^3 on the bottom 1 (

5e^x − 1) dx. I got 5e^3x-5e-1 is this correct? Please help!
Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0
Remember that
1) For functions f(x) and g(x), \int {f(x) + g(x)} \, dx =  \int {f(x)} \, dx + \int {g(x)} \, dx
2) For a function f(x) and a constant c, \int {cf(x)} \, dx =  c \int {f(x)} \, dx

Using these two properties of integrals, and the fact that \int\limits^3_1 {e^x} \, dx = e^3 - e, we can see that

\int\limits^3_1 {5e^x - 1} \, dx
= \int\limits^3_1 {5e^x} \, dx - \int\limits^3_1 1} \, dx
= 5 \int\limits^3_1 {e^x} \, dx - \int\limits^3_1 1} \, dx
= 5(e^3 - e) - \left.x\right|_1^3
= 5e^3 - 5e - (3 - 1)
= \bf 5e^3 - 5e - 2
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A important study in the history of case-control methods was completed in 1950 by Doll & Hill. This study found that 647 of
Sladkaya [172]

Answer:

Evidence of an increased risk of lung cancer associated with cigarette smoking was sought by Doll and Hill. In one study, 649 lung cancer cases were matched by age, and gender to 649 controls; 647 of the cases and 622 of the control had a history of smoking cigarettes.a.Name the type of study. Case control studyb.Create the appropriate 2X2 table for the study. (2 points)Lung CancerControlsSmokers647622Nonsmokers227Total649649c.Calculate the appropriate measure of association for the study. (4 points)The odds ratio: Cases = 647 / 2 = 323.5The odds ratio: Control = 622 / 27 = 23.03The odds ratio = 23.03 / 323.5 = 14.04 d.Interpret the results. (2 points)Smokers are 14 times more likely to develop lung cancer than non-smokers.

Step-by-step explanation:

3 0
3 years ago
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
irina1246 [14]

the answer is x3

11x3=33

5x3=15

multiply by 3 on all of them    

mark brainliest plz

3 0
2 years ago
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irinina [24]

Answer:

Use a cauculator :D

4 0
2 years ago
An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box
galben [10]

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

Or

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

4 0
3 years ago
What is the distributive property of 12*12
NikAS [45]
144.

distributive property distributed a number outside of a parenthesis inside, i.e. x(12•12).

considering there is no given parenthesis, the answer is simply 144.
4 0
3 years ago
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