All categories

3 years ago

If 3x^2+2xy+y^2=2 then the value of dy/dx at x=1 is

1 answer:

6 0

We have that
3x²+2xy+y²=2

find the derivative-------> (Implicit differentiation)
6x+2xdy/dx+2y+2ydy/dx=0
collect dy/dx terms along one side
dy/dx(2x+2y)= -6x-2y 
dy/dx= -2(3x+y)/2(x+y) = - (3x+y)/(x+y)

for x=1
dy/dx= -(3+y)/(1+y)= -(y+3)/(y+1)

the answer is
dy/dx=-(y+3)/(y+1)

You might be interested in

X² + 15x +44 Factor the quadratic completely

Hoochie [10]

Factor
x
2
+
15
x
+
44
x
2
+
15
x
+
44
using the AC method.
(
x
+
4
)
(
x
+
11
)

8 0

3 years ago

Read 2 more answers

What is the equation of the least squares regression line for the data set?

Rus_ich [418]

hey the answer is y=1.862x−0.138 just took the test!

5 0

2 years ago

On three examinations, you have grades of 85, 78, and 84. There is still a final examination, which counts as one grade In order

Greeley [361]

Answer:

It's not possible to earn an A in the course
I must have a 73 or MORE to earn a B in the course

Step-by-step explanation:

The average obtained at the end of the course will be:

$\frac{85+78+84+x}{4} = av$

Where x is the grade obtained in the final examination and av is the final average. To obtain an A, av has to be at least 90, av≥90, and to obtain an B, av has to be at least 80, av≥80

Is an A in the course possible?

So, if we get 100 on the final average:

x = 100,

av = (85+78+84+100)/4 = 86,75 and 86,75∠90.

Answer: No, the higher grade obtained would be 86,75.

What grade you must have in the final to earn a B in the course

To earn a B, av≥80:

$av= \frac{85+78+84+x}{4 \ }\geq 80\\ \frac{247+x}{4}\geq80 \\247+x\geq 80*4\\ x\geq 320-247\\ x\geq 73$

Answer: I must have a 73 or MORE to earn a B in the course

6 0

3 years ago

The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest t

mezya [45]

Answer:

16.6

Step-by-step explanation:

The rectangle has an area of 105. It's width is 7.

1: Find the length

$\frac{area}{width}$ =length

$\frac{105}{7}$ = 15

Length=15

2: Pythagorean theorem

$a^{2} +b^2=c^2$

$7^{2}$ + $15^2=c^2$

49+225= $c^2$

275= $c^2$

$\sqrt{275}$ = $\sqrt{c^2\\}$

16.55≈c

Rounded to nearest tenth

16.6

6 0

2 years ago

A new cookie cake company is offering a

gtnhenbr [62]

Answer:

200.96in^2

Step-by-step explanation:

If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.

First cookie cake diameter is 8".

Second cookie cake's diameter is 16".

Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.

A=(pi)r^2

A=(pi)8^2 *to the 2nd power means times by the same number

A=(pi)64

A= (3.14)(64)

A=200.96

=200.96^2

pi= 3.14 *for this problem

7 0

2 years ago