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PolarNik [594]
3 years ago
12

Solve tan x/3 = 1. ​

Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

3π/4 radians

Step-by-step explanation:

arctan(tan(x/3))=1

x/3=π/4 rad

x = 3π/4 radians

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Question 3 Unsaved
bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}

Simplify to get

Y(s) = \frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]

Take inverse

y(t) = \frac{e^{-3t} -e^{-5t}}{2}

8 0
3 years ago
Solve the system of equations.<br> 2x+8y=6<br> -5x-20y+-15
kondor19780726 [428]

Answer:

2x+8y=6

Step 1: Add -8y to both sides.

2x+8y+−8y=6+−8y

2x=−8y+6

Step 2: Divide both sides by 2

\frac{2x}{2} = \frac{-8y+6}{2}

x=−4y+3

_________________________________________________________

−5x−20y−15

There are no like terms.

Answer:

=−5x−20y−15

7 0
3 years ago
Writ the recurring decimal as 0.15 as a fraction in it's simplest form​
Tema [17]

Answer:

3/20

Step-by-step explanation:

0.15 = 15*100/1*100

= 15/100

= 3/20

6 0
3 years ago
PLEASEE HELPP ANYONE
almond37 [142]
Answer: B. Exponential. There is a constant rate of decay or decrease. 

The y-values decrease by 1/4 of the number that comes before every time. 
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3 years ago
Read 2 more answers
Which graph does NOT represent a function?
d1i1m1o1n [39]

Answer:

The circle graph does not represent a function because it doesn't pass the vertical line test.

Step-by-step explanation:

3 0
3 years ago
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