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Stolb23 [73]
3 years ago
8

Implicit differentiation: ycosx=x^2+y^2

Mathematics
2 answers:
kramer3 years ago
6 0
Y cos x = x^2 + y^2 

Taking derivative:
<span>
y' cos x - y sin x = 2x + 2y y' </span>

Simplifying:

<span>y' = (- 2x - y sin x)/(2y - cos x)</span>
mixas84 [53]3 years ago
5 0

Answer:

Step-by-step explanation:

Given is an implicit function of y in x.

ycos x = x^2+y^2\\

The steps shown were the differentiation on both the sides

Left side done using product rule as well as chain rule and right side addition rule and chain rule

The steps got as

((y)(-sinx)+(cosx)(dy/dx)=2x+2y(dy/dx) is correct

Next step is to group all dy/dx terms together

cosx(dy/dx) - 2y(dy/dx) = ysinx+2x is also right step

Now rewrite left side as

\frac{dy}{dx} (cosx-2y)=2x+ysinx\\\frac{dy}{dx}=\frac{ysinx+2x}{cosx-2y}

Thus both the steps and answer are correct.

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Four more than the product of three and a number x.
saul85 [17]

Answer:

3x +4

Step-by-step explanation:

4 more= 4+

the product of 3 and x = 3 times x

=

4+ 3x

3 0
3 years ago
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] What percentage of the last 30 U.S. Presidents were inaugurated at the age of 60 or later? (Round to 1 decimal place.)
svetlana [45]

Answer:

20.0%

Step-by-step explanation:

The last 30 presidents of America starts from the 16th president, Abraham Lincoln and ends with the current and 45th president, Donald Trump.

The presidents that are 60 and above years during this period include

Donald Trump, Goerge H. W. Bush, Roland Regan, Gerald Ford, Dwight D. Eisenhower and Harry S. Truman.

Making 6 of them out of 30

The percentage is given by

Number of presidents aged 60 and above×100/Total number of presidents

6×30/100=20%

7 0
3 years ago
In which number is the value represented by the digit 9 equal to 110
Tresset [83]

Answer:

49

Step-by-step explanation:

a+b/2xh

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8 0
3 years ago
What is the value of p?
kenny6666 [7]

Answer:

35

Step-by-step explanation:

All angles of a triangle add up to 180 degrees, so you can add the other two angles, then subtract by 180.

4 0
3 years ago
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Find the error in the problem below
qaws [65]

Answer:

You aren't supposed to add 3k

Step-by-step explanation:

3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide

19-2k= 3k-1

  -3k  -3k

19-5k= -1

-19      -19

 -5k= -20

-5/-5= -20/-5

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7 0
3 years ago
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