Solve the equation e2x dy/dx 1 given that y = 5 when x = 0 ​

Answers

Answer 1

Answer:

The equation is

[tex]{ \underline{ \sf{y = - 2 {e}^{ - 2x} + 7 }}}[/tex]

Step-by-step explanation:

[tex]{ \sf{ {e}^{2x} \frac{dy}{dx} = 1}} \\ \\ { \sf{dy = {e}^{ - 2x} dx}}[/tex]

integrate:

[tex]{ \sf{ \int dy = \int { - e}^{2x} dx}} \\ { \sf{y = - 2 {e}^{ - 2x} + c}}[/tex]

c is a constant.

when y is 5, x is 0:

[tex]{ \sf{y = { - 2e}^{ - 2x} + c}} \\ { \sf{5 = - 2 {e}^{( - 2 \times 0)} + c }} \\ { \sf{5 = - 2 {e}^{0} + c }} \\ { \sf{5 = ( - 2 \times 1) + c}} \\ { \sf{5 = - 2 + c}} \\ { \sf{c = 7}}[/tex]

therefore, equation:

[tex]y = - 2 {e}^{ - 2x} + 7[/tex]


Related Questions

a Find the sum of interior angle of the heptagon

Answers

Answer:

sum of the interior angles=900°

Answer:

900°

Step-by-step explanation:

To find any shape sum of interior angles ,

we use the formula,

(n-2)180°, where n is the number of sides

So for heptagon,

n=7

using formula,

(7-2)180°

=> 5(180)

=> 900°

what is the population of nepal​

Answers

28.61 million (2019)

29,136,808 people (2020)
Nepal 2020 population is estimated at 29,136,808 people at mid year according to UN data. Nepal population is equivalent to 0.37% of the total world population. Nepal ranks number 49 in the list of countries (and dependencies) by population.
28.61 million (as of 2019)

please help me answer this question.

Answers

Answer:

702 feet

Step-by-step explanation:

(24×27)+(9×6) = 702

PLEASE HELP MEEEEEEEEEEEEEEEEE​

Answers

Answer:

A. .25

B. .95

C. .75

D. .42

Step-by-step explanation:

A 25
B 95
C 75
D 40

Mark as brainlist please

What’s x = in this equation

Answers

Answer:

5m

Step-by-step explanation:

Applying Pythagoras theorem:

a² + b² = c² (where a is base length, b is the height and c is the hypotenuse of the right triangle)

3² + 4² = c²

c² = 9 + 16 = 25

c = x = [tex]\sqrt{25}[/tex] = 5

∴ x = 5m

16. Simplify: look at picture
please give detailed steps!!

Answers

Answer:

[tex] 2\sqrt{3} [/tex]

Step-by-step explanation:

1. Expand the expression

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

2. To multiply the fractions, multiply the numerators and denominators seperately

[tex] = \frac{6 \sqrt{3} }{ \sqrt{3} \sqrt{3} } [/tex]

3. Calculate the product : when a square root of an expression is multiplied by itself, the result is that expression.

[tex] \frac{6 \sqrt{3} }{3} [/tex]

4. Reduce the fraction with 3 and the solution is :

[tex] = 2 \sqrt{ 3} [/tex]

Define bisector of a line​

Answers

Answer:

The line that divides something into two equal parts. You can bisect line segments, angles, and more.

Step-by-step explanation:

A bisector is what divides a line into two equal parts.

helpppp timed on this helppp me quick brainleast

Answers

Answer:

Answer 1

Step-by-step explanation:

Hey here! This is your answer:

L = 9

Step-by-step explanation:

Using the formula A = wl we can figure out this question.

[tex]l=\frac{A}{W} = \frac{36}{4} =9[/tex]

Joshua spent 3/100 of the money he earned from mowing lawns on a gift for his mother.com what percent of his earning did Joshua spend?

Answers

He spent 3% of his money!

Answer:

3%

How did I get it?

3/100 as a decimal is 3% (3%/100)

Adult tickets for a movie cost six dollars and children's tickets cost three dollars if two adults and three children go to the movies how much will they pay?

Write a numerical or algebraic expression for each verbal phrase

Answers

They would pay $21 in total
2($6)+3($3)=$21

Point H is located at (-3,-2) on the coordnate plane. Point H'. What ordered pair describes the location of H'?

Answers

Answer:

You bought a

Step-by-step explanation:

How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead?

Answers

Answer:

35

Step-by-step explanation:

all are obeying a constant ratio

copper 81tin 14⇒?lead 5total 100 ⇒250?=250*14/100=35
the answer is 35bb. good luck. by.

2x ^ 4 What is being raised to the exponent ?

Answers

The power 4 is being raised to the EXPONENT

Answer:

x

Step-by-step explanation:

Given

2[tex]x^{4}[/tex] ← the exponent 4 is attached to the variable x only

[tex](2x)^{4}[/tex] = [tex]2^{4}[/tex] [tex]x^{4}[/tex]  where the 4 is attached to both the 2 and the x

Cuál es el valor de la siguiente expresión?

(6 + 27) / (5 - 2)

Answers

Answer: 11

Step-by-step explanation:

6+27=33

33/3 = 11

3 - 2 + 6 - 1 steps to please

Answers

Answer:

the answer is 6

hope this helps:)

Answer:

6

Step-by-step explanation:

3-2 = 1

6-1= 5

5+1= 6 this is the answer hope it is help for u

Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.​

Answers

Answer:

707.7, or 707

Step-by-step explanation:

0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413

A line passes through the point (-4,-6) and has a slope of -5/2. Write an equation in slope intercept form for this line

Answers

Answer:

y= -5/2x-16

draw the point on the graph and use rise over run to find the y intercept

Answer:

y= -5/2x-16

Step-by-step explanation:

hope it helps

hope its right :)

A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet

Answers

Answer:

640 feet

Step-by-step explanation:

8 = 320

16 = 640

Answer:

640

Step-by-step explanation:

8-->16

320-->640

the perimeter of a rectangular field is 342 yards. if the width of the field is 77 yards, what is its length

Anyone know the answer to this?
Quick response

Answers

A) 94 yards

Since you know that in order to find the perimeter, you use the equation 2L+2W.

342=2L+2(77)
342=2L+154
188=2L
94=L

Please Help!!! Will give brainliest

Answers

Answer:

except of (g) all limits exist

Step-by-step explanation:

All the solutions are in the picture.

Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets of information and the number of bits. Be sure to define your variables.

Answers

Answer: 8b

Step-by-step explanation:

Equation:

Let b equal the number of bytes

byte = 8b

Please help with this question

Answers

Answer:

bdjjirलअाफखनल पनपअ लbबजदहडनदजडनफjnnkdffruidirbttjt tjrjnf h

Step-by-step explanation:

uuhsbd?eg\bnothing hereafter hgbg

a student multiplied 7236 by 65 instead of multiplying 56 . by how much was the answer greater than the correct answer (hint : do you need to do both the multiplication)​

Answers

Answer:

65124

Step-by-step explanation:

The student's solution when he/she multiplied the wrong given:7236 × 65= 470340The student's solution when he/she multiplied the correct given: 7236 × 56= 405216Measure how much was the wrong answer greater than the correct answer:470340 - 405216= 65124

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Math- what’s 2+2 and how is it calculated

Answers

Answer:

4

Step-by-step explanation:

we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple

help me plz branniest to whoever right

Answers

[x+(-2)]÷2=5
(y+6)÷2=8

x=12
y=10
(x, y)=(12, 10)

Hope my answer helped u :)

need the answer as soon as possible

Answers

Answer:

soln

Step-by-step explanation:

=21÷x-2s

=21÷7-2×9

=3-18

=-15

The perimeter of a rectangle is 332cm and the width is 76cm. Find the rectangle’s length

Answers

length = 90cm

solution: 332 - 76 - 76 = 180
180 ÷ 2 = 90

John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.

What was the new status of John's account at this point?

Answers

Answer:

210

Step-by-step explanation:-133-55-22=210

5*213 is a 5 digit number replace the * number by smallest digit to make them divisible by 3​

Answers

Answer:

1

Step-by-step explanation:

that is the answer

because 51213÷3=17071

4
...................

this isn’t a question but to everyone who’s actually good at math thank you so much for taking the time to answer these questions.

Answers

Answerurdsrd d e

Step-by-step explanation: