All categories

3 years ago

Find the second derivative of r(x)=10x-0.001x^2

Mathematics

1 answer:

alex41 [277]3 years ago

8 0

Answer:

-0.002.

Step-by-step explanation:

The first derivative r'(x) = 10 - 2*0.001x^(2-1)

= 10 - 0.002x

The second derivative r"(x)

= -0.002.

You might be interested in

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454

Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

The area of a square is the square of the side, so the side of a square is the square root of the area.

side = sqrt(9 ft)^2 = 3 ft

The volume of a cube is the cube of the side.

volume = (3 ft)^3

volume = 27 ft^3

4 0

3 years ago

A scale on a map shows that 2 inches = 25 miles

ycow [4]

4.4 inches because once you add 2 and 2 you 50 then add ten and you get 60

4 0

3 years ago

3. What is the scale factor of Figure B to Figure A?

xxMikexx [17]

Answer:

2.5

Step-by-step explanation:

From the diagram, figure B was enlarged to obtain figure A.

The two figures are therefore similar.

The corresponding sides are in the same proportion. That constant value of the proportion is called scale factor.

It is given by:

$k = \frac{image \: length}{corresponding\:object \: length}$

Figure B is the image of A

$k = \frac{10}{4} = \frac{25}{10} = \frac{21.5}{8.6} = 2.5$

Therefore the scale factor is 2.5

4 0

3 years ago

There are 35 students in a drama club two out of every five boys in the club are boys how much diamonds in the club are boys

andrew11 [14]

Given:

Number of students = 35

Two out of every five boys in the club are boys.

To find:

The number of students in the club that are boys.

Solution:

Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.

Let the number of boys be 2x and number of students be 5x.

According to the question,

$5x=35$

$x=7$

Now, the number of boys is

$2x=2(7)$

$2x=14$

Therefore, 14 students in the club are boys.

8 0

2 years ago

"at the end of the year Juan has $52.71 more than 4 times his balance at the beginning of the year if his ending balance was $17

Salsk061 [2.6K]

At the end of the year, Juan has 52.71 more than 4 times his balance at the beginning. Okay, let's set this up.

4x + 52.71
(4 times) (52.71 more)
His ending was 172.90, so
4x + 52.71=172.90
4x= 120.19
x= 30.05
He had $30.05 at the beginning of the year.

8 0

3 years ago

Find the second derivative of r(x)=10x-0.001x^2​

Find the second derivative of r(x)=10x-0.001x^2