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bezimeni [28]
3 years ago
7

Please I need Steep by Steep Help 100 Points + Branly

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

Answer:

a 4

b 3

c 9

d 4

Step-by-step explanation:

id.k

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First-order linear differential equations
kkurt [141]

Answer:

(1)\ logy\ =\ -sint\ +\ c

(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

Step-by-step explanation:

1. Given differential equation is

  \dfrac{dy}{dt}+ycost = 0

=>\ \dfrac{dy}{dt}\ =\ -ycost

=>\ \dfrac{dy}{y}\ =\ -cost dt

On integrating both sides, we will have

  \int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}

=>\ logy\ =\ -sint\ +\ c

Hence, the solution of given differential equation can be given by

logy\ =\ -sint\ +\ c.

2. Given differential equation,

    \dfrac{dy}{dt}\ -\ 2ty\ =\ t

=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty

=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})

=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt

On integrating both sides, we will have

   \int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}

=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c

=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

Hence, the solution of given differential equation is

log(y+\dfrac{1}{2})\ =\ t^2\ +\ c

8 0
4 years ago
MATH HELP PLEASE show WORK
ZanzabumX [31]

9514 1404 393

Answer:

  • 5 ft from ceiling
  • 9 ft from side wall

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.

4 0
3 years ago
Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2?
Anvisha [2.4K]

A die has 6 sides, so rolling a 1 out of all six would be 1/6 which equals a 0.16% chance and same goes for a 2/6.

(Mark as brainliest if I helped in anyway, pls and thanks:))

4 0
3 years ago
Manual is cooking dinner for his family of four. The recipe he is using makes dinner for six people. The recipe calls for three
Hitman42 [59]
2 cups ur welcome because half a cup is for 1 person so 2 cups is for 4 people
8 0
3 years ago
A company uses a process cost accounting system. its assembly department's beginning inventory consisted of 50,000 units, 3/4 co
wolverine [178]

Using the weighted average method, the equivalent units to be considered would only be that which is completed within the month and those completed in the ending inventory. Since the ending inventory is only ¼ or 25% completed, therefore the total equivalent units is:

total equivalent units = 127,500 units + (0.25)*40,000 units

total equivalent units = 137,500 units

 

Since the direct labor costs is given to be $24,000 therefore the direct labor cost per equivalent unit is:

direct labor cost per equivalent unit = $24,000 / 137,500 units

direct labor cost per equivalent unit = $0.1745 

<span>direct labor cost per equivalent unit </span>= $0.17

 

Answer:

$0.17

8 0
3 years ago
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