PLZZ HELP RNN I WILL MAKE BRAINLIEST If tan x = e/8 and sin x = e/f what is value of cos x

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

0

1

4

5

0

1.5sin(3t)

1

2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

u' = v

since u' = v

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

7 0

3 years ago

Ball-Bearings, Inc. produces ball bearings automatically on a Kronar BBX machine. For one of the ball bearings, the mean diamete

kherson [118]

Answer:

3.6% of the ball bearings will have diameters of 20.27 mm or more.

Step-by-step explanation:

We can calculate this proportion using the z-score.

We have a normal distribution with mean 20.00 mm and standard deviation of 0.150 mm.

The value for X is 20.27 mm.

Then, the z-score and its associated probability are:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{20.27-20}{0.15}=\dfrac{0.27}{0.15}=1.8\\\\\\P(X>20.27)=P(z>1.8)=0.036=3.6\%$

3 0

4 years ago

Please help asap! i’ll try to mark you brainliest if you get it right and can explain!

gavmur [86]

X=10 and x=0

Steps:
5x=x^2/2
10x=x^2
x^2-(10x)=0
(x-10)(x+0)=0
Solve for factors
x-10=0
x=10
x+0=0
x=0

8 0

3 years ago

Correct answer will get brainliest

anygoal [31]

Answer:

I believe its B, But I am unsure since I haven't done geometry in a couple years.

3 0

4 years ago

PLEASE HELP I HAVE 5 minutes I will mark as brilliant

Kruka [31]

Answer:

3x - 6

Step-by-step explanation:

4 0

3 years ago