3 years ago

Which statement is true? 7.1G

Mathematics

1 answer:

jeka57 [31]3 years ago

6 0

Question???????????????

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Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].

Vilka [71]

The average value is given by

$\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt$

Setting $y=\cos5t$ , you get $\mathrm dy=-5\sin5t\,\mathrm dt$ , and the integral becomes

$\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy$
$=-\dfrac1{30}\dfrac{y^{14}}{14}\bigg|_{y=\cos20}^{y=\cos50}$
$=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145$

6 0

4 years ago

Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of fr

Anarel [89]

Answer:

400

Step-by-step explanation:

5=4=78+400

6 0

3 years ago

Read 2 more answers

Plz help ill give brainliest

kipiarov [429]

Answer:

243 in^3

Step-by-step explanation:

Cut into 2 rectangles

First one would be ..

12 x 8 = 96

second one would be

7 x 21 = 147

Add them together

147 + 96 = 243

7 0

3 years ago

How do you solve -2(3x-1)-3=4x+5-x

maria [59]

Answer:

-6x+2-3=3x+5

2-3-5=3x+6x

-6=9x

x=-2/3

4 0

3 years ago

Mr. Smith water is one of his plans every 10 days and another plant every 14 days if you wanted both plans today when is the nex

aleksklad [387]

Answer:

70 days

Step-by-step explanation:

14x5=70

10x7=70

5 0

4 years ago