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zimovet [89]
3 years ago
15

Evaluate ∫ e3x cosh 2x dx A. 1/2e5x + 1/2ex + C B. 1/10e5x + 1/5 x + C C. 1/10e5x + 1/2ex + C D. 1/4e3x + 1/2 x + C

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

∫ e^(3x)*(cosh(2x)dx

= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx

= ∫ [(e^(5x)+e^x)/2]dx

=e^(5x)/10+e^x/2+C

=(1/10)(e^(5x)+5e^x)+C

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What is 50% of the sum of the first 10 odd numbers
avanturin [10]

Answer:

50

Step-by-step explanation:

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7 0
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Passing through (1,9),slope=2
Natalka [10]
Passes through (1, 9) with a slope of 2.

Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)

To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.

y = mx + b

Plug everything in.

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Therefore, our y-intercept is 7! :)

Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.

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~Hope I helped!~
5 0
3 years ago
Read 2 more answers
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April,
SSSSS [86.1K]

Answer:

Step-by-step explanation:

a) H0: \bar x = 24.57

Ha: \bar x \neq 24.57

(Two tailed test at 5% significance level)

b) n=30

Mean difference = 23.89-24.57 = - 0.68

Std error of mean = \frac{s}{\sqrt{n} } \\=\frac{2.40}{\sqrt{30} } \\=0.4382

b) Test statistic t = mean diff/std error = -1.552

df = 30-1 =29

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So accept H0

8 0
3 years ago
Please answer this correctly without making mistakes
Gekata [30.6K]

Answer:

16

Step-by-step explanation:

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d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)

Since the x values are the same

d = sqrt(  ( y2-y1) ^2)

d = sqrt(  (( -6 - 10)^2))

d =  sqrt((-16) ^2)

d = 16

We can also just find the number of squares between the points since the x value is the same.

10 - -6

10+6

16

4 0
2 years ago
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