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2 years ago

Use this equation to find dy/dx. 3y cos x = x2 + y2

1 answer:

5 0

Given: 3y cos x = x² + y²

Define $y' = \frac{dy}{dx}$

Then by implicit differentiation, obtain
3y' cos(x) - 3y sin(x) = 2x + 2y y'
y' [3 cos(x) - 2y] = 2x + 3y sinx)

Answer:
$\frac{dy}{dx} = \frac{2x+3y \, sin(x)}{3cos(x)-2y}$

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This is really confusing me:<br> Simplify so that your answers contain only positive exponents.

xxTIMURxx [149]

Answer:

see below

Step-by-step explanation:

For simplifying expressions of this sort, there are four rules of exponents that come into play;

$a^ba^c=a^{b+c}\\\\(ab)^c=a^cb^c\\\\(a^b)^c=a^{bc}\\\\\dfrac{1}{a^b}=a^{-b}\ \quad\text{which means}\quad a^b=\dfrac{1}{a^{-b}}$

I find it convenient to eliminate the fractions by adding the exponents, then rewrite any negative exponents as denominator factors.

$23. \quad\dfrac{1}{x^{-2}}=x^2\\\\24. \quad\dfrac{mn}{m^2n^3}=m^{1-2}n^{1-3}=m^{-1}n^{-2}=\dfrac{1}{mn^2}\\\\25. \quad\dfrac{k^{-2}}{k^{-3}}=k^{-2-(-3)}=k\\\\26. \quad\left(\dfrac{m^2}{n^3}\right)^3=\dfrac{m^{2\cdot 3}}{n^{3\cdot 3}}=\dfrac{m^6}{n^9}\\\\27. \quad\dfrac{x^2y^3z^4}{x^{-3}y^{-4}z^{-5}}=x^{2-(-3)}y^{3-(-4)}z^{4-(-5)}=x^5y^7z^9$

3 0

3 years ago

A wireless phone company determines the 12 bones out of every 350 phones are returned because of defective screens if the compan

Varvara68 [4.7K]

Answer:

68.5

Step-by-step explanation:

Use a slash = slash or a proportion

12 to 350 as x to 2000

5 0

3 years ago

"Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through

Stella [2.4K]

Answer:

it is not necessary to confirm that the sample data appear to be from a population with a normal distribution;

D. Because the sample size of 50 is greater than 30, it can be assumed that the sample mean is from a population with a normal distribution

Step-by-step explanation:

Normal distribution which is otherwise known as the Gaussian distribution, it is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

The arithmetic mean or average; is the sum of a collection of numbers divided by the total numbers in the collection.

6 0

3 years ago

George walked on a treadmill 16 3/4 miles over 4

slamgirl [31]

Answer:

4 3/16 miles a day

Step-by-step explanation:

16 3/4 miles in 4 days

Divide 16 3/4 by 4

16 3/4 = 67/4

4 = 4/1

To divide you multiply by the reciprocal(flip of the numerator and denominator)

67/4 ÷ 4 = 67/4 x 1/4 = 67/16

67/16 = 4 3/16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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2 years ago

Solve<br> x+y= -1<br> x - y = -7<br> using elimination.

Andreas93 [3]

Answer:

(-4, 3)

x = -4, y = 3

6 0

3 years ago