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3 years ago

I can not seem to get this cam someone help me please

Mathematics

2 answers:

Cerrena [4.2K]3 years ago

6 0

Answer:

i think 15.00

hope this helps :)))

kolezko [41]3 years ago

6 0

Answer:

$78.75

Step-by-step explanation:

So we know that After 2 Dogs walked, Irene makes $10.50, so we divide that by 2 (Since he walked 2 dogs) to find out how much walking one dog makes him.

10.50/2=5.25

5.25 x 15= 78.75 (We multiply by 15 because that's how many dogs are needed to find the total money.)

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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify y

Drupady [299]

Answer:

$V = \frac{\pi^2}{8}$

$V = 1.23245$

Step-by-step explanation:

Given

$y = \cos 2x$

$y = 0; x = 0; x = \frac{\pi}{4}$

Required

Determine the volume of the solid generated

Using the disk method approach, we have:

$V = \pi \int\limits^a_b {R(x)^2} \, dx$

Where

$y = R(x) = \cos 2x$

$a = \frac{\pi}{4}; b =0$

So:

$V = \pi \int\limits^a_b {R(x)^2} \, dx$

Where

$y = R(x) = \cos 2x$

$a = \frac{\pi}{4}; b =0$

So:

$V = \pi \int\limits^a_b {R(x)^2} \, dx$

$V = \pi \int\limits^{\frac{\pi}{4}}_0 {(\cos 2x)^2} \, dx$

$V = \pi \int\limits^{\frac{\pi}{4}}_0 {\cos^2 (2x)} \, dx$

Apply the following half angle trigonometry identity;

$\cos^2(x) = \frac{1}{2}[1 + \cos(2x)]$

So, we have:

$\cos^2(2x) = \frac{1}{2}[1 + \cos(2*2x)]$

$\cos^2(2x) = \frac{1}{2}[1 + \cos(4x)]$

Open bracket

$\cos^2(2x) = \frac{1}{2} + \frac{1}{2}\cos(4x)$

So, we have:

$V = \pi \int\limits^{\frac{\pi}{4}}_0 {\cos^2 (2x)} \, dx$

$V = \pi \int\limits^{\frac{\pi}{4}}_0 {[\frac{1}{2} + \frac{1}{2}\cos(4x)]} \, dx$

Integrate

$V = \pi [\frac{x}{2} + \frac{1}{8}\sin(4x)]\limits^{\frac{\pi}{4}}_0$

Expand

$V = \pi ([\frac{\frac{\pi}{4}}{2} + \frac{1}{8}\sin(4*\frac{\pi}{4})] - [\frac{0}{2} + \frac{1}{8}\sin(4*0)])$

$V = \pi ([\frac{\frac{\pi}{4}}{2} + \frac{1}{8}\sin(4*\frac{\pi}{4})] - [0 + 0])$

$V = \pi ([\frac{\frac{\pi}{4}}{2} + \frac{1}{8}\sin(4*\frac{\pi}{4})])$

$V = \pi ([{\frac{\pi}{8} + \frac{1}{8}\sin(\pi)])$

$\sin \pi = 0$

So:

$V = \pi ([{\frac{\pi}{8} + \frac{1}{8}*0])$

$V = \pi *[{\frac{\pi}{8}]$

$V = \frac{\pi^2}{8}$

$V = \frac{3.14^2}{8}$

$V = 1.23245$

4 0

3 years ago

Please help me with this question i’ll mark you as brainliest

vlabodo [156]

Hey buddy
The d part is correct
Hope it helps :)

4 0

4 years ago

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Find the slope of a line that is perpendicular to the line containing the points (–2, –1) and (2, –3). (1 point)

maw [93]

Didn't you already get this question right because it says 1/1 point?

8 0

4 years ago

if 55 total megawatt hours is generated in a coming year, how many megawatt hours would we expect to be generated in the first q

mrs_skeptik [129]

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3 years ago

How do you solve this problem?

kykrilka [37]

You can multiply 8 times 9 to get 72 and then move the decimal over to the right to get the answer of 7.2

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4 years ago