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3 years ago

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the function f is defined by f(x)= 3x-4cos(2x+1), and it derivative is f'(x) = 3+ 8sin(2x+1). what are all the values of x that

satisfy the conclusion of the mean value theorem applied to f on the interval [-1,2].

1 answer:

olchik [2.2K]3 years ago

3 0

Answer:

hitgn vfpcik predlsxn[3edls

Step-by-step explanation:

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The cost in dollars y of producing x computer desks is given by y=80x+6000

Gnoma [55]

Answer:

(100,14000), (200, 22000), (300, 30000)

Step-by-step explanation:

y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.

Let, f(x) = 80x + 6000

So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}

So, to produce 100 desks it costs $14000.

Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}

So, to produce 200 desks it costs $22000.

Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}

So, to produce 300 desks it costs $30000.

Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)

5 0

3 years ago

How many times larger is 4 x 1016 than 5 x 108?

arlik [135]

So first you would need to multiply each numbers....
4 x 1016 = 4064
5 x 108 = 540
Then all you would have to do is subtract 4064 from 540.
Your answer is 3524.
<span>4 x 1016 (4064) is 3,524 times larger than 5 x 108 (540).

PLEASE MARK AS BRAINLIEST!</span>

4 0

3 years ago

Read 2 more answers

Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21

yarga [219]

Given:

A line passes through (1,-2) and is perpendicular to $-4x+7y=21$ .

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

$-4x+7y=21$

Slope of this line is

$m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{-4}{7}$

$m_1=\dfrac{4}{7}$

Product of slope of two perpendicular lines is -1.

$m_1\times m_2=-1$

$\dfrac{4}{7}\times m_2=-1$

$m_2=-\dfrac{7}{4}$

Now, slope of required line is $-\dfrac{7}{4}$ and it passes through (1,-2). So, the equation of line is

$y-y_1=m(x-x_1)$

where, m is slope.

$y-(-2)=-\dfrac{7}{4}(x-1)$

$4(y+2)=-7(x-1)$

$4y+8=-7x+7$

$4y+7x=7-8$

$7x+4y=-1$

Therefore, the equation of required line is $7x+4y=-1$ .

7 0

3 years ago

In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?

lianna [129]

Answer:

none of the tables shown

Step-by-step explanation:

Inverse variation is

xy = k where k is the constant

xy = 4

in the top table

-2*2 = -4 so it cannot be the first table

In the middle table

-2 * -8 = 16 so it is not the middle table

In the bottom table

-2 *4 = -8 so it is not the bottom table

There must be a table not shown

5 0

3 years ago

Easy question right here!

Bad White [126]

12 glad I could help!

6 0

3 years ago

Read 2 more answers