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Lyrx [107]
3 years ago
14

Can y = sin(t2) be a solution on an interval containing t = 0 of an equation y + p(t) y + q(t) y = 0 with continuous coefficient

s? Explain your answer.
Mathematics
1 answer:
JulsSmile [24]3 years ago
7 0

Answer:

Step-by-step explanation:

y = sin(t^2)

y' = 2tcos(t^2)

y'' = 2cos(t^2) - 4t^2sin(t^2)

so the equation become

2cos(t^2) - 4t^2sin(t^2) + p(t)(2tcos(t^2)) + q(t)sin(t^2) = 0

when t=0, above eqution is 2. That is, there does not exist the solution. so y can not be a solution on I containing t=0.

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Sue baked 40 cookies and decorated 35% of them. Molly baked 50 cookies and put icing on 30% of them. Which girl iced more cupcak
anyanavicka [17]

Answer:

Molly with 15 cookies decorated

Step-by-step explanation:

Turn percentage into decimals.

35%=.35

30%=.30

Sue baked 40 and decorated 35% (40*.35=14)

Molly baked 50 and decorated 30% (50*.30=15)

3 0
3 years ago
Fraction calculator 66 1/2 - 43=
zhuklara [117]

Answer:

\frac{47}{2}

Step-by-step explanation:

66\frac{1}{2} - 43 = 47/2

6 0
3 years ago
Read 2 more answers
In a triangle, two sides that measure 8 centimeters and 11 centimeters form an angle that measures 82°. to the nearest tenth of
Gwar [14]
We can use the Сosine formula to solve this problem.
<span>First we must find the third side (АС) of the triangle:
</span>
AC^2=AB^2+BC^2-2*AB*BC*cos82^o \\ AC^2=8^2+11^2-2*8*11*0.1392 \\ AC^2=64+121-24.4992= 160.508 \\ AC= \sqrt{160.508} \approx  12.67 \ cm
<span>
The smallest angle of the triangle lies opposite the smallest side, so we need to find m</span>∠C.

cosC= \frac{AC^2+BC^2-AB^2}{2*AC*BC}  \\  \\ cosC= \frac{12.67^2+11^2-8^2}{2*12.67*11}= \frac{160.53+121-64}{278.74} = \frac{217.53}{278.74} \approx  0.7804

Now we can use Bradis's Table (I don't know the name in English, maybe Trigonometric Table?) to find m∠C:

m∠С = 38°42' = 38.7°

Answer: 38.7°


<span>I hope this helps</span>

7 0
3 years ago
Adam has created a register for the bank account he opened on April 16th. Unfortunately, Adam has made a mistake and cannot figu
sesenic [268]

Answer:

<u>D. He recorded his paycheck amount for April 23rd incorrectly. Yes, this was Adam's mistake. The correct amount should be 341.60 and not 338.45.</u>

Step-by-step explanation:

1. Let's review the information given to us to help Adam to determine where his error is.

A. He completely forgot to include the clothes he bought from Bargains RUS. No, he didn't. It was recorded properly,  including the sales tax amount.

B. He made an arithmetic error in the balance column. No he didn't, the balance was calculated correctly after each transaction.

C. He recorded one of his withdrawals in the deposit column. No, he didn't. All of the withdrawals are in the right column.

<u>D. He recorded his paycheck amount for April 23rd incorrectly. Yes, this was Adam's mistake. The correct amount should be 341.60 and not 338.45.</u>

8 0
3 years ago
Use the replacement set {3, 4, 9} to find the solution of the equation below.<br> 3n−18=9
Mrac [35]

Answer:

n=9

Step-by-step explanation:

3n-18=9

3n+18= +18

3n=27

3(9)=27

n=9

5 0
3 years ago
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