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BARSIC [14]
3 years ago
12

Find dy/dx by implicit differentiation. (X^2/(x+y))=y^2+1

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
Apply quotient rule and chain rule and power rule.

Differentiate both sides with respect to x

You'll get

\frac{2x(x + y) - x^2(1 + y')}{(x+y)^2} = 2yy'\\\\  \frac{2x^2 + 2xy - x^2+ x^2y'}{(x+y)^2} = 2yy'\\\\2x^2 + 2xy - x^2- x^2y' = 2yy'(x+y)^2\\\\ x^2 + 2xy  = 2yy'(x+y)^2 + x^2y'\\\\ x^2 + 2xy   = y'(2y(x+y)^2 + x^2)\\\\ y' = \boxed{\bf{\frac{x^2 + 2xy}{2y(x+y)^2 + x^2}}}
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Suppose task B follows task A. The likelihood that a problem will occur with task A is 0.5, and the time to correct the problem
jasenka [17]

Answer:

The risk consequence of both activities is 1.6 months.

Step-by-step explanation:

We can define a randome variable D: total delay time for the project, and calculate its expected value.

This would be the risk consequence of both activities.

The expected delay time for the project is the sum of the expected delay for task A plus the expected delay for task B. It is assumed the likelihood of a problem in any task is independent of the other.

Then, each expected delay for a task is equal to the probability of a problem multiplied by the consequence (delay time).

E(D)=E(D_a)+E(D_b)=p_aT_a+p_bT_b\\\\E(D)=0.5*2+0.2*3=1+0.6=1.6

The risk consequence of both activities is 1.6 months.

6 0
3 years ago
2-(-4)/0-2<br><br>What is the answer? ​
Gnoma [55]

Answer:

the would be m=4

Step-by-step explanation:

7 0
2 years ago
Help me? I’m giving brain
Tanzania [10]

Answer:

4.31 as said

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If PQ=7 and QR=10, then PR= what ?
Yuliya22 [10]
If PQ=7 and QR=10,

P=(7/Q) and R=(10/Q)

Therefore:

PR=(7/Q)(10/Q)

=(70)/Q²
6 0
4 years ago
What should you do first when simplifying an expression that involved
7nadin3 [17]
The first thing that you do when simplifying an expression with the variable’s values known is to distribute the values. EXAMPLE:
3(7x+9)+6(-16x-40); distribute:
21x+27-96x-240; combine like terms:
(21x+(-96x))+(27+(-240))——-> -75x-213; now plug in the values and solve: -75(6)-213=-663
8 0
4 years ago
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