Mathematics College

Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question

Answers

Answer 1

Answer:

[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]

General Formulas and Concepts:

Math

RoundingEuler's Number e - 2.71828

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Calculus

Derivatives

Derivative Notation

Differentials

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]

Step-by-step explanation:

Part A

Step 1: Define

[tex]\displaystyle y = 5e^{5x}[/tex]

Step 2: Differentiate

[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]

Part B

Step 1: Define

[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]

[Given] x = 3, dx = 0.4

Step 2: Evaluate

Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Differentials

Book: College Calculus 10e

Related Questions

Select ALL the statements that are true.

a
The radius of a circle is two times larger than the diameter.
b
The diameter of a circle is two times larger than the radius.
c
The diameter is half the radius of a circle.
d
The radius is half the diameter of a circle.

Answers

Answer:

a b d are true statement ..............

A company claims that their new bottle holds 25% more laundry soap. If their original container held 42 fluid ounces of soap, how much does the new container hold?
The new container holds ___ fluid ounces.
HELP PLEASE. <3.

Answers

Answer:

52,5

It holds 10.5 more laundry soap

Two ways to look at this. Either way, we convert 25% to a decimal by dividing by 100, = 0.25

One way is to multiply 42 x 0.25 = 10.5. That tells us how many ounces are added. Then add 42 + 10.5 = 52.5 ounces

The other way is to multiply 42 x 1.25 = 52.5
In this equation, the 1 represents the original 42 oz, and the .25 represents the extra ounces.

Let me know if you have questions.

negative 5x plus 4y equals 3 i need x and y please

Answers

Answer:

x = 9

y = 12

Step-by-step explanation:

-5x + 4y = 3

x = 2y - 15

Manipulate the equations such that the coefficients of two variables are additive inverses

-5x + 4y = 3

x = 2y - 15

Inverse operations

-> 4y - 3 = 5x

-> 2y - 15 = x (*(-5))

->4y - 3 = 5x

-> -10y + 75 = -5x

Now add the equations to eliminate a variable,

4y - 3 = 5x

-10y + 75 = -5x

-6y + 72 = 0

Inverse operations

-6y + 72 = 0

72 = 6y

/6 /6

12 = y

Back solve to find (x)

2y - 15 = x

2(12) - 15 = x

24 - 15 = x

9 = x

Can someone help me with this I need help

Answers

b.150 inches, the area is calculated by B x H, which is 15 x 10 in this scenario

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

is 2/6 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

good luck, i hope this helps :)

I think it’s rational because irrational can be written as a decimal, but NOT as a fraction

Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.

A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.

Answers

Answer:

Step-by-step explanation:

I Had this

15x120 helppp what is this and how do u get the answer

Answers

Answer:

if this is regular multiplication the answer is 1,800

Step-by-step explanation:

In JKL, J = 7.9 inches, K = 2 inches and L =9.8 inches. Find the measure of K to the nearest degree

Answers

Answer:

Step-by-step explanation:

Delta math

The measure of K to the nearest degree is 4°.

What is the laws of cosines?

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given ΔJKL,

j = 7.9 inches, k = 2 inches, l = 9.8 inches

to find the measure of angle K,

we can calculate the angle by cosine law,

cosK = (j² + l² - k²)/(2.j.l)

cosK = (7.9² + 9.8² - 2²)/(2*7.9*9.8)

cosK = 154.45/154.81

K = cos⁻¹(0.99748)

K = 4.067⁰ ≈ 4°

Hence angle K is 4°.

Learn more about the laws of cosines;

https://brainly.com/question/17289163

#SPJ1

Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54

Answers

9n-4

9(6)-4

54-4

50

Option B

Answer is Option B) 50

9(6)-4

54-4

what is 10 2/3 in inproper numbers

Answers

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

Anna worked out at a gym for 2 hours.
Her workout included stretching for 21
minutes, jogging for 45 minutes, and
lifting weights for the remaining amount
of time. What percentage of Anna's
workout was spent lifting weights?

Answers

Answer:

! not sure if correct !

Step-by-step explanation:

54% of anna's workout was lifting weight

Answer:

45%

Step-by-step explanation:

21+45=66=1 hour 6 mins

2 hours=120 min

120-66=54

(54/120)x100=45 45%

2^x=1/128 solve the equation

Answers

Answer:

x = − 7

Step-by-step explanation:

y = 4.5*x^2-9*x+8.5;4.5;-9;8.5

-(((-9)^2-(4*4.5*8.5))/(4*4.5))

-(-9/(2*4.5))

4.5*0^2-(0*9)+8.5

(7*x^5-(5*x^7))^(1/2)+1/((7*x^5-(5*x^7))^(1/2))

Pls answer I'll give brainliest to whoever replies first

Answers

1: x= 2y - 1, y eR
2: x= 3y + 4, y eR
I think that’s right.-.

A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?

Answers

Answer:

Step-by-step explanation:

Answer:

21 ounces.

Step-by-step explanation:

This is percentage increase.

In order to find that, we simply do:

(100+25)% = 125%

100% = 12 ounces

125% = ?

12*125/100 = 9 ounces

Add it up to the original amount:

12+9 = 21 ounces

Find the slope y = 6x-1

Answers

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

−

Step-by-step explanation:

x-1

The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.

Answers

Answer:

2 times became that's correct

The probability of choosing yellow is 5/12

In ΔLMN, the measure of ∠N=90°, MN = 5.6 feet, and NL = 1.7 feet. Find the measure of ∠M to the nearest tenth of a degree

Answers

Answer:

M= 16.8868 ≈ 16.9

Step-by-step explanation:

Does anyone know where I can find revision questions that will help me in my maths Gcse?

Answers

Step-by-step explanation: amazon they have everything

Please help me with this work

Answers

Answer:

1. (5y) = 35

2. (6y) = 1

3. (4y) = 2

4. (11y) = 15

5. 18, 24, 42, 60

The number of miles Henry rides his bike in 10 days is 60miles

Step-by-step explanation:

BRAINLIEST! What is the slope of the line ?

Answers

Answer:

[tex]\displaystyle m=\frac{-4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (2, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{2+3}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-4}{5}[/tex]

Complete the following statement.

Mac mixes 14 ounces of red paint with 6 ounces of blue paint. The ratio of blue paint to total paint is because for every 6 ounces of , there is 20 ounces of .

Answers

Answer:

The Ratio you are looking for is 5:8

Step-by-step explanation:

Answer:

6: azul

20: lila o morado

i have to do a number graph using fractions I dont know how

Answers

Answer:

What kind of graph?

PLS HELP I TRIED GETTNIG BETTER PHOTOS THIS TIME

Answers

Answer:

ADD MORE POINTS THEN WE CAN TALK HUN

Step-by-step explanation:

Answer: )*39082[938[928

The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.

Answers

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

What is the distance between the points (6,2) and (1,-5)

PLEASE ANSWER QUICK

Answers

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add: [tex]\displaystyle d = \sqrt{74}[/tex]

Which is the value of the rational expression 6-x/x+5 when x=2

Answers

Answer:

4/7

Step-by-step explanation:

6-x/x+5 let us take x=2

6-2/2+5=4/7

You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?

Answers

You can make 6 bowls of punch.

Решите уравнение: а) 6x = 18;
б) –3x = 15; в) 7x = -63;
г) 5x - 3 = 12; д) — 4х + 1 = 13; е) -x+ 9 = 16.

Answers

Answer:

6x=18

x=18/6

x=3.

-3x=15

x=15/-3

x=-5

7x=-63

x=-63/7

x=-9

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

-4x+1=13

-4x=13-1

-4x=12

x=12/-4

x=-3

-x+9=16

-x=16-9

-x=7

x=7/-1

x=-7

3.3.4 Practice: Angle Relationships in Triangles

Practice

Math 8 Sem 2

Points Possible:5

Date:

Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Answer the questions to find the measures of ∠2 and ∠3.

1. What is the measure of ∠4? Explain how you know.

Write your answer in the space below.

2. What is the sum of the measures of the angles in a triangle?

Write your answer in the space below.

3. ∠1 is in a triangle with ∠4 and a 53° angle. What is the sum of the measures of those two angles?

Write your answer in the space below.

4. What is the measure of ∠1? Explain.

Write your answer in the space below.

5. Find the measure of ∠2. Explain how you found its measure.

Write your answer in the space below.

6. What is the measure of ∠3? Explain.

Write your answer in the space below.

Answers

For question 1 and 2, you should keep in mind that the sum of all angles in a triangle is 180°. 1. If the measure of one angle of a triangle is 90 degrees, you can assume that the sum of the other two triangles should be 90 degrees. Because

180 - 90 = 90

The sum of the three angles of any triangle is equal to 180 degrees.

Angle 2=127 because 180-53=127.

Angle 3=23 because 180-30-127=53

Angle 1=37 because 90-53=37

Angle 4=90

Angle 1+4=127

The measure of ∠1 is 125° .

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

AP EX

Step-by-step explanation:

can anyone help me please?

Answers

Answer: I think it might be A bit Im not sure

Step-by-step explanation:

Answer:

i think its A not suree

Step-by-step explanation:

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Let y = 5e5z A. Find the differential dy 25e53 dy B. Use part A. to find dy when x = - 3 and dir = 0.4. Round your answer to 2 decimal(s). dy = Submit Question

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Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question