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Rudik [331]
3 years ago
7

Since f(x, y) = 1 + y2 and ∂f/∂y = 2y are continuous everywhere, the region R in Theorem 1.2.1 can be taken to be the entire xy-

plane. Use the family of solutions in part (a) to find an explicit solution of the first-order initial-value problem y' = 1 + y2, y(0) = 0. y = Even though x0 = 0 is in the interval (−2, 2), explain why the solution is not defined on this interval. Since tan(x) is discontinuous at x = ± , the solution is not defined on (−2, 2).
Mathematics
1 answer:
IceJOKER [234]3 years ago
7 0

Answer:

(3x, 6)

(3, 8)

Step-by-step explanation:

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Simplify this expression.
olchik [2.2K]

Answer:

(y^2+3y-28)/(4y^2-15y-4)

Step-by-step explanation:

(4y-1)(y-3)(2y+3)(y+3)(y+7)(y-3)/(2y+3)(y-4)(4y+1)(4y-1)(y-3)(y+3)

= (y+7)(y-3)/(y-4)(4y+1)

= (y^2+3y-28)/(4y^2-15y-4)

7 0
2 years ago
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Graph B
lara [203]

Answer/Step-by-step explanation:

Slope (m) = rise/run

y-intercept (b) = starting value or the point on the y-axis where the line cuts across

✔️Slope (m) of skater 1:

Rise = 45

Run = 7.5

Slope (m) = 45/7.5 = 6

✔️ y-intercept (b) of Skater 1:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 1 linear function in slope-intercept form, y = mx + b

Substitute m = 6 and b = 0 into y = mx + b

Linear function: y = 6x + 0

y = 6x

✔️Slope (m) of skater 2:

Rise = 30

Run = 15

Slope (m) = 30/15 = 2

✔️ y-intercept (b) of Skater 2:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 2 linear function in slope-intercept form, y = mx + b

Substitute m = 2 and b = 0 into y = mx + b

Linear function: y = 2x + 0

y = 2x

7 0
2 years ago
Ahome cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for
Naily [24]

Answer: the answer is b.

Step-by-step explanation: if you read the graph, you will see number of square feet, X the third one over you will see 100 over 40 and if you duplicate both then you get 200 for the number of square feet and 80 minutes, I hop this helps ツ.

4 0
2 years ago
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What are different representations of a function?
Soloha48 [4]

Answer:

a function can be represented by a bike

Step-by-step explanation:

a bike has many things that work together to power the bike

the pedals allow the bike to move. the handles allow the bike to move different directions. the wheels allow the bike to move while working withe the pedals and the gears

8 0
2 years ago
Find the surface area of the figure
mel-nik [20]

Answer:

The answer is 165 in.

Step-by-step explanation:

The first shape (On the right) has a length of 3in. If you look at the top. and the height is 9in. Now you can find the width by looking at the other shape on the left and its width is 3in. Good thing the width on that shape matches the width on the right shape. so now you multiply 3, 3, and 9 and you get 81.

Now you look at the shape on the left. We already know the width which is 3in. and the height is 4in. to find the length don't look at the 10in. the 10 is the 1st and 2nd shape put together. look at the top of the shape on the left and there is a 7. That 7 is your length. now you multiply 7, 3, and 4 and you should get 84. Now you add 84 and 81 and you are left with the answer of 165in squared.

3 0
3 years ago
Read 2 more answers
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