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lesya692 [45]
3 years ago
15

In Problems 41 and 42 solve the given initial-value problem in which the input function g(x) is discontinuous. [Hint: Solve each

problem on two intervals, and then find a solution so that y and y are continuous at x p2 (Problem 41) and at x p (Problem 42).] 41. y 4y g(x), y(0) 1, y(0) 2,
Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0

Answer: hello your question is poorly written attached below is the complete question

answer:

attached below

Step-by-step explanation:

using

m^2 - 2m + 10 = 0

m = 2± (√4 - 4(1)(10)) / (2(1)) = 1 ± 3i

Hence the complementary function ; Yc = e^x ( C1 cos3x + C2 sin3x )

attached below is the detailed solution

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Which equation is parallel to the line y=-4x + 3?
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The price p, in dollars, of a specific ca that is x year old is modeled by the function p(x)=22,255(0.91)^x
uysha [10]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x

a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore

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b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore

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c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)

7 0
3 years ago
7. How much 6% solution can you make by diluting 350 mL of a 15% solution
ANTONII [103]

Answer:

We know that the formula to mix chemical solutions is: C1V1 = C2V2

where C represents the concentration of the solute, and V represents volume in milliliters or ml.

In this case, we have:

0.06V1 = 0.15×350

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V1 = (0.15×350)/0.06 = 52.5/0.06 = 875

Therefre I can make 875 mL of a 6% solution by diluting 350 mL of a 15% solution.

6 0
4 years ago
30 pts!! In an online game you are rewarded with 20 points each day you log on and 5 dollars. You are trying to raise 1,420 poin
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Answer:  66

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20 points per day is the rate, 100 points is the intial amount, and 1420 points is the total.

Use the formula: y = mx + b  

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  • m is the rate
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1420 = 20x + 100   <em>plugged the values into the equation</em>

1320 = 20x             <em>subtracted 100 from both sides</em>

   66 = x                 <em>divided both sides by 20</em>

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3 years ago
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