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3 years ago

What is implicit differentiation?

Mathematics

1 answer:

defon3 years ago

6 0

Answer:

The process of finding the derivative of dependent variable in an implicit function by differentiating each term separately by expressing the derivative of the dependent variable as a symbol and by solving the resulting expression for the symbol.

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Writing an Equation with a Given Center and Radius

solong [7]

Answer:

$(x-2)^2+(y+8)^2=121$

Step-by-step explanation:

A circle is described by an equation in the following form:

$(x-x_0)^2 + (y-y_0)^2 = r^2$ (1)

where:

$x_0$ is the x-coordinate of the centre of the circle

$y_0$ is the y-coordinate of the centre of the circle

r is the radius of the circle

For the circle in this problem, we have:

- The centre is located at (2,-8), so

$x_0=2\\y_0 = -8$

- The radius is 11, so

$r=11$

Therefore substituting into eq(1) we find the equation of this circle:

$(x-2)^2+(y+8)^2=11^2 = 121$

So the correct option is option B:

$(x-2)^2+(y+8)^2=121$

4 0

4 years ago

Julia 2 identical rooms in her house.if each room measures 8 feet on another , what is the total area of the rooms

olchik [2.2K]

Answer:

64 feet squared

Step-by-step explanation:

8*8=64

3 0

4 years ago

dominic checked out a book from the library and he has 11 days to read the book before he needs to return it. he calculates that

jenyasd209 [6]

The number of pages is an illustration of a linear equation

The equation that represents the number of pages is $11 = B - 17 * p$

<h3>How to determine the equation</h3>

The given parameters are:

Rate = 17 pages per day

Days = 11 days

Total pages = B

Given that a linear equation is represented as:

$y = c + mx$

The equation to calculate p is:

$11 = B - 17 * p$

Hence, the equation that represents the number of pages is $11 = B - 17 * p$

Read more about linear equations at:

brainly.com/question/14323743

7 0

2 years ago

Please help. thank you so much

Svetach [21]

Answer:

XY = 17

Step-by-step explanation:

Intersect secant theorem, EX * EY = EZ*EW

34 * EY = 25.5 * 68

$EY = \frac{25.5*68}{34}\\\\ = 25.5* 2\\\\ = 51.0 = 51$

EY = 51

EX + XY = 51

34 + XY = 51

XY = 51 - 34 = 17

7 0

3 years ago

The American Management Association is studying the income of store managers in the retail industry. A random sample of 49 manag

VashaNatasha [74]

Answer:

a) The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

b) The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

Step-by-step explanation:

Question a:

We have to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a p-value of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{2050}{\sqrt{49}} = 574$

The lower end of the interval is the sample mean subtracted by M. So it is 45420 - 574 = $44,846.

The upper end of the interval is the sample mean added to M. So it is 45420 + 574 = $45,994.

The 95% confidence interval for the income of store managers in the retail industry is ($44,846, $45,994), having a margin of error of $574.

Question b:

The interval mean that we are 95% sure that the true mean income of all store managers in the retail industry is between $44,846 and $45,994.

5 0

3 years ago