Match the expressions to their corresponding Locations

Karolina [17]

The answer is B

We get this by multiplying 60 minutes by 0.8 which gives us 48 minutes, then we multiply thar number by 0.7 which gives us 33.6 minutes, which we divide 33.6 by 60 to get our number of hours which is 0.56.

3 0

3 years ago

Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)

dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = $\int_a^b \delta\left|r^{\prime}(t)\right| d t$

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

$\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}$

Further simplifying;

$\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}$

Now, use integration to find the mass of the wire;

$\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}$

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

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The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0

1 year ago

pablo buys 3 servings of jambalaya and 2 drinks for $18 jasmine buys 1 serving and 2 drinks for $9. Write 2 equations based on t

Masja [62]

Pablo buys 3 servings of jambalaya and 2 drinks for $18.00.
Jasmine buys 1 serving of jambalaya a2 drinks for $9.00
Answer by Alan3354(67427) About Me (Show Source):
You can put this solution on YOUR website!
Pablo buys 3 servings of jambalaya and 2 drinks for $18.00.
Jasmine buys 1 serving of jambalaya a2 drinks for $9.00
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Thx for letting us know.
Then what happened?

6 0

3 years ago

Solve and explain please

Ann [662]

Answer:

j= -9, -2

Step-by-step explanation:

(j+9)(j+2)

j=-9, -2

3 0

3 years ago

Read 2 more answers

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().

Aleonysh [2.5K]

Answer:

We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

Step-by-step explanation:

We are given:

$f(x) = -3x - 3\\ g(x) = x^2 + 5$

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

$(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8$

So, We get $\mathbf{(f-g)(x)= -x^2-3x-8}$

5 0

2 years ago