3 years ago

If dy/dx=4y and y=4 when x=0, then y=. A) 4e^4x. B) e^4x. C) 3+e^4x. D) 4+e^4x. e) 2x^2+4

1 answer:

8 0

Hello,

dy/dx=4==>dy/y=4dx==>ln(y)=4x+C
==>y=k*e^(4x)
if x=0 y=4==>4=k*e^(4*0)==>k=4

==>y=4*e^(4x)

Answer A (with parenthesis!!!)

You might be interested in

PLS HELP<br>First answer- (5,0) (10,0)<br>Second answer- (0,1//20) (0,20)<br>

Julli [10]

X-intercept mean y=0

2/5x+1/10(0)=2

2/5x=2

X= 5

X-intercept = (5,0)

Y-intercept means x= 0

2/5(0)+1/10y=2

1/10y=2

y=20

Y-intercept = (0,20)

7 0

3 years ago

American Airlines spent over 6,651,297,000 on the direct maintenance of its planes. How would this number be written in verbal f

asambeis [7]

Six billion six hundred fifty-one million two-hundred ninety-seven thousand.

6,651,297,000 rounded to nearest hundred million = 6,700,000,000

3 0

3 years ago

if you drive for 3 hour at 60 mph and then for 2 hour at 70mph, how far will you travel? c. 350 miles

Elena-2011 [213]

If you drive for 3 hours at 60 mph you will have gone 180 miles.

If you drive for 2 hours at 70 mph you will have gone 140 miles.

If we add 180 + 140 = 320.

So you traveled 320 miles. 320 is the answer.

8 0

4 years ago

The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A

Archy [21]

Step-by-step explanation:

six people because it has six seats

5 0

4 years ago

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want t

oksano4ka [1.4K]

Answer:

1 / 1365

Step-by-step explanation:

Given that :

Number of employees to choose from = 15

Number of employees to be chosen = 4

Probability of choosing You, Kyle, Carol and Adam

Recall ;

P(A) = number of required outcome / Total possible outcomes

Number of required outcome = 4C4

Total possible outcomes = 15C4

nCr = n! ÷ (n-r)!r!

Using calculator to save computation time :

15C4 = 1365

4C4 = 1

P(choosing you, Kyle, Carol and Adam) :

1 / 1365

3 0

3 years ago