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ANTONII [103]
3 years ago
14

Consider the differential equation: dy/dx = (y-2)(x^2+1)

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Given,

\dfrac{dy}{dx}=(y-2)(x^2+1) ...(i)

Differentiating w.r. to x.

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}

From equation (1)

\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)

Now, at the point (1,3)

\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)

\dfrac{d^2y}{dx^2}=6

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Why do you rarely find math teachers spending time at the beach
Sliva [168]

They are busy grading papers and preparing for other things.

8 0
3 years ago
Maureen measured a house and its lot and made a scale drawing. The scale she used was
PIT_PIT [208]

The most appropriate choice for unitary method will be given by-

Length of driveway  in the drawing is 3 inch

What is unitary method?

Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.

Sometimes value of single unit is less than value of multiple unit

For example - cost of food and quantity of food

Sometimes value of single unit is more than value of multiple unit

For example- Number of men and time taken by those men to do a work

Here,

Scale used by Maureen is 1 inch = 8ft

Actual length of house's driveway = 24 feet

8 ft of room is equal to 1 inch on scale

1 ft of room is equal to \frac{1}{8} inch on scale

24 feet of room is equal to \frac{1}{8} \times 24 inch on scale

24 feet of room is equal to 3 inch on scale

Length of driveway  in the drawing is 3 inch

To learn more about unitary method, refer to the link-

brainly.com/question/24587372

#SPJ9

3 0
1 year ago
What is R+G=20<br> 7R+3G=9
Troyanec [42]

Step-by-step explanation:

hope I understand your qyestion

Equation 1 : R+G=20

Equation 2 : 7R+3G=9

Multiply Equation by 3, it becomes

3R+3G=60 ...... Equation 3

Now Equation 3 minus Equation 2

-4R = 51

R = - 51/4

Sub R into Equation 1, you can find G

4 0
3 years ago
Which of the following is a proportion? = = = =
vivado [14]

Answer:

jwbfbeue

Step-by-step explanation:

fhhfhfhf

5 0
3 years ago
Read 2 more answers
susan figure the slope of the line passing through the points (4,19) amd (7,28) to be 1/3. the teacher believes susan is wrong.
melamori03 [73]
For (x1,y1) and (x2,y2)
slope=(y2-y1)/(x2-x1)

(4,19)
(7,28)

slope=(28-19)/(7-4)=9/3=3/1=3
because math
7 0
3 years ago
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