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2 years ago

Help help math math math

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

7 0

Answer:

Step-by-step explanation:

substitute -8 into x.

f(-8)=-8+18=10

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Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cy

mina [271]

Answer:

The answer is " $8\pi$ "

Step-by-step explanation:

$\to r(v,u) =(4 \cos v, 4 \sin v,u) \\\\0\leq v \leq 2\pi, \ \ 4\leq u\leq 5\\\\\to r_v= (-4 \sin v, 4 \cos v, 0)\\\\\to r_u=(0,0,1)$

$\to r_v\times r_u = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4 \sin v& 4 \cos v& 0\\0&0&1\end{array}\right| \\\\$

$= (4 \cos v, -4 \sin v, 0)$

$|r_v \times r_u| = \sqrt{16 \cos^2 v +16 \sin^2 v}\\\\$

$= \sqrt{16( \cos^2 v + \sin^2 v)}\\\\= \sqrt{16(1)}\\\\= \sqrt{4^2}\\\\=4$

Calculating the surface area:

$=\int^{2\pi}_{0} \int^{5}_{4} 4 \ du \ dv \\\\=\int^{2\pi}_{0} 4[4]^{5}_{4} \ dv \\\\=\int^{2\pi}_{0} 4[5-4] \ dv \\\\=\int^{2\pi}_{0} 4 \ dv \\\\=4 [v]^{2\pi}_{0}\\\\= 4 \times 2\pi\\\\= 8\pi$

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3 years ago

In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of ju

Sindrei [870]

Answer:

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

6 0

3 years ago

Question in the image

posledela

Answer:

True, True, False, True

Step-by-step explanation:

5 0

3 years ago

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What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures ar

Sergeeva-Olga [200]

Answer: 5/2 and 25/4

Step-by-step explanation:

6x5=30

6x2=12

...

say these were perfect squares,

12x12= 144

30x30= 900

900/144 = 25/5

8 0

3 years ago

The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same inf

asambeis [7]

Answer:

$26

Step-by-step explanation:

To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.

Francesca can be represented by the following equation:

$c=6.5(2)\\c=13$

Phil can be represented by the following equation:

$c=6.5(6)\\c=39$

As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.

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4 years ago

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