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zepelin [54]
3 years ago
9

use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3

Mathematics
1 answer:
NISA [10]3 years ago
3 0

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

1.4    3.6        10.08      7.632

1.8    7.632    27.48     18.624

2.2  18.624   81.95      51.70

2.6  51.70    268.85   159.24

3     159.24  955.44    541.4

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Sergio039 [100]

Answer: £122.4

Step-by-step explanation:

Given

The rate of interest is 4%

The principal invested is £1500

the time period is 2 years

Compound interest is given by

C.I.=P(1+r\%)^t-P

put values

C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4

Therefore, interest earned is £122.4

5 0
2 years ago
Help plz my teacher won't help
lesantik [10]

Answer:

y = -3x + 9

Step-by-step explanation:

y = mx + b where m is the slope and b is the y intercept

The hypotenuse is on the same line as BC but twice as long.  So extend that line up and it will cross the y axis at (0,9).  9 will be your y intercept.

To find the slope start at C and count  up 9 and to the left 3 to get to B.

So the slope is rise/run or 9/(-3) = -3.

Final equation would be y = -3x + 9

6 0
3 years ago
Part B was p + 0.2p. Combine the like terms in the expression for part B to create an equivalent expression. PLEASE HELP!
lawyer [7]

Answer:

1.2p

Step-by-step explanation:

p=1p

p+0.2p is equal to 1p+0.2p which equals 1.2p

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3 years ago
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10x+9=4x -9 solve <br><br> please help
Neporo4naja [7]

Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

  • Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.
  • Subtract 4x from both sides of the equation. This gives you 6x = -18.
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The final answer is x = -3

7 0
2 years ago
3) Caleb's cellphone says that it is 20% charged. He has 45
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Answer:

225 minutes

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45 min = 20% = 20/100

20 x 5 = 100

45 x 5 = 225

3 0
3 years ago
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