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2 years ago

Anyone wann4 start a convo rn?

Mathematics

1 answer:

Marina86 [1]2 years ago

4 0

sure why not i have nothing better to do

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Find the area of the surface. the part of the surface y = 5x + z2 that lies between the planes x = 0, x = 1, z = 0, and z = 1.

Alex787 [66]

Parameterize the part of the surface we care about, denoted $\mathcal S$ , by

$\mathbf r(u,v)=\langle u,5u+v^2,v\rangle$

with $0\le u\le1$ and $0\le v\le1$ .

Then

$\|\mathbf r_u\times\mathbf r_v\|=\|\langle5,-1,2v\rangle\|=\sqrt{4v^2+26}$

The area is given by the surface integral

$\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=1}\int_{u=0}^{u=1}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_{v=0}^{v=1}\sqrt{4v^2+26}\,\mathrm dv=\sqrt{\dfrac{15}2}+\dfrac{13}2\sinh^{-1}\sqrt{\dfrac2{13}}$

7 0

4 years ago

Figure B is a scaled copy of Figure A.

Elena L [17]

Answer:

Scale factor = 3 : 1

Step-by-step explanation:

Scale factor of figure = $\frac{\text{Side length of image}}{\text{Side length of actual}}$

From the graph attached,

Scale factor = $\frac{\text{Side length of figure B}}{\text{Side length of figure A}}$

= $\frac{3}{1}$ [Since size of every square of the graph is same]

= 3

Therefore, scale factor of figure A to figure B is 3.

In other words ratio of the size of figure A to figure B will be 3 : 1.

8 0

3 years ago

A giant bamboo plant grew an average of 18 centimeters per year.The botanist started measuring the plant when it was 5 centimete

Anastaziya [24]

H=height
y=number of years.

we have the next expresion:
h(y)=my+b

m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).

Therefore, our expression will be:
h(y)=18y +5

answer: h(y)=18y+5

7 0

3 years ago

A cylindrical can holds 24 cubic inches of soup. The can is 6 inches tall. What is the radius of the base of the soup can?

alexira [117]

Answer:

the 24 cubic inches of soup was removed 6 inches tall turn into 4

Step-by-step explanation:

24÷6=4

5 0

3 years ago

What number should be placed in the box to help complete the division calculation? can someone please do the problem (8587/12) s

disa [49]

Answer:

8587 should be in the box

Step-by-step explanation:

we would see it question as: 12/- 8587

12 goes into 85 7 times, so 7

12 goes into 18 1 time, so 1

12 goes into 67 5 times, so 5

then the remainder is 7

or you further divide to get . 5 8 3333333...

so your answer should be 715r7 or 715.58333

5 0

3 years ago