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Ymorist [56]
3 years ago
8

How much is 5.802 less than 74.14​

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

68.338

Step-by-step explanation:

to know how much is less than we have to substract

74.14-5.802=68.338

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Evaluate the surface integral. s x2 + y2 + z2 ds s is the part of the cylinder x2 + y2 = 4 that lies between the planes z = 0 an
Leya [2.2K]
Parameterize the lateral face T_1 of the cylinder by

\mathbf r_1(u,v)=(x(u,v),y(u,v),z(u,v))=(2\cos u,2\sin u,v

where 0\le u\le2\pi and 0\le v\le3, and parameterize the disks T_2,T_3 as

\mathbf r_2(r,\theta)=(x(r,\theta),y(r,\theta),z(r,\theta))=(r\cos\theta,r\sin\theta,0)
\mathbf r_3(r,\theta)=(r\cos\theta,r\sin\theta,3)

where 0\le r\le2 and 0\le\theta\le2\pi.

The integral along the surface of the cylinder (with outward/positive orientation) is then

\displaystyle\iint_S(x^2+y^2+z^2)\,\mathrm dS=\left\{\iint_{T_1}+\iint_{T_2}+\iint_{T_3}\right\}(x^2+y^2+z^2)\,\mathrm dS
=\displaystyle\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}((2\cos u)^2+(2\sin u)^2+v^2)\left\|{{\mathbf r}_1}_u\times{{\mathbf r}_2}_v\right\|\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+0^2)\left\|{{\mathbf r}_2}_r\times{{\mathbf r}_2}_\theta\right\|\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}((r\cos\theta)^2+(r\sin\theta)^2+3^2)\left\|{{\mathbf r}_3}_r\times{{\mathbf r}_3}_\theta\right\|\,\mathrm d\theta\,\mathrm dr
=\displaystyle2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv\,\mathrm du+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r^3\,\mathrm d\theta\,\mathrm dr+\int_{r=0}^{r=2}\int_{\theta=0}^{\theta=2\pi}r(r^2+9)\,\mathrm d\theta\,\mathrm dr
=\displaystyle4\pi\int_{v=0}^{v=3}(v^2+4)\,\mathrm dv+2\pi\int_{r=0}^{r=2}r^3\,\mathrm dr+2\pi\int_{r=0}^{r=2}r(r^2+9)\,\mathrm dr
=136\pi
7 0
3 years ago
Is f = 3 a solution to the inequality below?
Nataliya [291]

Answer: Yes

Step-by-step explanation:

f=3

11+3= 14

23 > 14

es correcto decir que 23 es mas grande que 11+f

3 0
3 years ago
Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr
Phantasy [73]

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

y=mx+b            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and m=15.

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting x=10,y=200,m=15 in (i), we get

200=15(10)+b

200=150+b

200-150=b

50=b

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

5 0
3 years ago
Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations
11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0
3 years ago
CAN SOMEBODY PLZ ANSWER ALL THESE CORRECT THANKS!!!!
lapo4ka [179]

Answer:

ok look at comments for answers

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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