PLEASE HELP!!! CALCULUS ASSIGNMENT

PLEASE HELP!!! CALCULUS ASSIGNMENT

Answers

Answer 1

Answer:

(d)  [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:                                                                [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]

Step 2: Differentiate

Basic Power Rule:                                                                                            [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]

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

Unit: Derivatives

Book: College Calculus 10e

Answer 2

Answer:

( d ) 12x³ - 15x² + 2

Step-by-step explanation:

y = 3x⁴ - 5x³ + 2x - 1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.

[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

multiply 4 × 3.

[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

Multiply 3 × -5

[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]

subtract the exponents

y = 12x³ - 15x² + 2⁰

For any term t except 0, t⁰ = 1.

y = 12x³ - 15x² + 2 × 1

y = 12x³ - 15x² + 2

Hence, option ( d ) is the correct answer.


Related Questions

A snail can travel 390 inches in 5 hours. How far does it travel in 10 minutes?

Answers

60 minutes in an hour so multiply that times 5 getting 300 now divide. You get 1.3 multiply by 10 for the amount of minutes needed so 13 inches in 10 minutes
The snail travels 13 inches in 10 minutes

5 hours = 300 minutes
390 inches/300 minutes = 1.3 inch per minute
1.3 inches x 10 minutes = 13 minutes

23+15=7
29+21=8
12+15=6
74+12=? ​

Answers

The total of 74+12 is equal to 86

Step-by-step explanation:

here are all the anwsers

Out of 400 people sampled, 56 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.

Give your answers as decimals, to three places
___ < p < ___

Answers

Answer:

because having 90% means big

Please help just put answer

Answers

Answer
............
Ssszxsxxzjdnndnd dj shh dbd

The answer is: 15 ft

The
exact solusion of the IVP

Answers

Answer:

[tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

|Absolute Value|FunctionsFunction NotationExponential Rule [Multiplying]:                                                                        [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]

Algebra II

Logarithms and Natural LogsEuler's number e

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Differential Equations

Separation of Variables

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Logarithmic Integration

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y' = \frac{xy}{2 + x^2}[/tex]

[tex]\displaystyle y(0) = 2[/tex]

Step 2: Rewrite

Separation of Variables

Rewrite Derivative Notation:                                                                            [tex]\displaystyle \frac{dy}{dx} = \frac{xy}{2 + x^2}[/tex][Division Property of Equality] Isolate y's:                                                       [tex]\displaystyle \frac{1}{y} \frac{dy}{dx} = \frac{x}{2 + x^2}[/tex][Multiplication Property of Equality] Rewrite Derivative Notation:                [tex]\displaystyle \frac{1}{y} dy = \frac{x}{2 + x^2} dx[/tex]

Step 3: Find General Solution Pt. 1

Integration

[Equality Property] Integrate both sides:                                                        [tex]\displaystyle \int {\frac{1}{y}} \, dy = \int {\frac{x}{2 + x^2}} \, dx[/tex][1st Integral] Integrate [Logarithmic Integration]:                                            [tex]\displaystyle ln|y| = \int {\frac{x}{2 + x^2}} \, dx[/tex]

Step 4: Identify Variables

Identify variables for u-substitution for 2nd integral.

u = 2 + x²

du = 2xdx

Step 5: Find General Solution Pt. 2

[2nd Integral] Rewrite [Integration Property - Multiplied Constant]:             [tex]\displaystyle ln|y| = \frac{1}{2}\int {\frac{2x}{2 + x^2}} \, dx[/tex][2nd Integral] U-Substitution:                                                                           [tex]\displaystyle ln|y| = \frac{1}{2}\int {\frac{1}{u}} \, du[/tex][2nd Integral] Integrate [Logarithmic Integration]:                                         [tex]\displaystyle ln|y| = \frac{1}{2} ln|u| + C[/tex][Equality Property] e both sides:                                                                     [tex]\displaystyle e^{ln|y|} = e^{\frac{1}{2} ln|u| + C}[/tex]Simplify:                                                                                                             [tex]\displaystyle |y| = e^{\frac{1}{2} ln|u| + C}[/tex]Rewrite [Exponential Rule - Multiplying]:                                                        [tex]\displaystyle |y| = e^{\frac{1}{2} ln|u|} \cdot e^C[/tex]Simplify:                                                                                                             [tex]\displaystyle |y| = Ce^{\frac{1}{2} ln|u|}[/tex]Back-Substitute:                                                                                               [tex]\displaystyle |y| = Ce^{\frac{1}{2} ln|2 + x^2|}[/tex]

Our general solution is  [tex]\displaystyle |y| = Ce^{\frac{1}{2} ln|2 + x^2|}[/tex].

Step 6: Find Particular Solution

Substitute in point:                                                                                           [tex]\displaystyle |2| = Ce^{\frac{1}{2} ln|2 + 0^2|}[/tex]Evaluate |Absolute Value|:                                                                               [tex]\displaystyle 2 = Ce^{\frac{1}{2} ln|2 + 0^2|}[/tex]|Absolute Value| Evaluate exponents:                                                            [tex]\displaystyle 2 = Ce^{\frac{1}{2} ln|2 + 0|}[/tex]|Absolute Value| Add:                                                                                      [tex]\displaystyle 2 = Ce^{\frac{1}{2} ln|2|}[/tex]|Absolute Value| Evaluate:                                                                               [tex]\displaystyle 2 = Ce^{\frac{1}{2} ln(2)}[/tex][Division Property of Equality] Isolate C:                                                         [tex]\displaystyle \sqrt{2} = C[/tex]Rewrite:                                                                                                             [tex]\displaystyle C = \sqrt{2}[/tex]Substitute in C [General Solution]:                                                                  [tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex]

∴ Our particular solution is  [tex]\displaystyle y = \sqrt{2}e^{\frac{1}{2} ln|2 + x^2|}[/tex].

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

Unit: Differential Equations

Book: College Calculus 10e

HELPP!!! I need help ASAP

Answers

Answer:

the right answer is C

Step-by-step explanation:

___________

what is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? (2 points) a 1 b 2 c 6 d 7

Answers

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1

Hello I need this quickly pls

Answers

Answer:

Area = x² + 10x + 21

Step-by-step explanation:

Area = L * W

Length = (x + 7)

Width = (x + 3)

=> Area = (x + 7) * (x + 3)

=> Area = x² + 3x + 7x + 21

Combining like terms would result in;

=> Area = x² + 10x + 21

Hope this helps!

the answer is 60 haha

The number of gallons of water left in a swimming pool at time t minutes can be modeled by w(1) = -7t+B50. Find the y-intercept and explain what it represents in this situation.​

Answers

Answer:

I'm not really sure

Step-by-step explanation:

soooooooory

I still need help! Please! Help me

Answers

Part A = 60

Part B is C

Which equation is true when x = 1/2?

Answers

Answer:

D

Explanation:

6/ 1/2 = 6*2, 6*2 not equal to 3

half of 8 is 4, not 16

1/2+2 = 2 1/2

10/ 1/2 = 10*2 = 20

Wat is the average between 1,000, 2300,1000,2600

Answers

Answer:

1180.2

Step-by-step explanation:

The average of 1,000,2300,1000,2600 is 1180.2

Find all x-intercepts of the function.
y = x³ - 9x² + 18x

Answers

Answer:

Step-by-step explanation:

X-intercepts mean y=0 so we have

y = x³ - 9x² + 18x = 0

Factoring

x³ - 9x² + 18x = 0

x*(x² - 9x +18) = 0

x*(x-3)*(x-6) = 0

So x-intercepts are at x=0, x=3 and x=6

Answer:

Step-by-step explanation:

see plot, intercepts at 0, 3, 6

Write an explicit formula for am, the nth term of the sequence 5, 30, 180, ....

Answers

Answer:

Am = 5 * 6^(m-1)

Step-by-step explanation:

30/5 = 6

180/30 = 6

Am = 5 * 6^(m-1)

The table shows the mean number of minutes spent on homework last weekend. The MAD for both sets of data is 5. Which number correctly completes the statement: The difference between the means is _______ times the value of the MAD of each set of data. (Subtract the two means and then divide that difference by 5.)

Answers

The answer is : 5
Explanation:

which expression is equivalent to 6 (3x + 4)?
A) 9x + 4
B) 18x + 4
C) 18x + 24
D) 9x + 10

Answers

Answer:

c number is the ans

Step-by-step explanation:

multiply each term with 6

A store purchased a DVD for $12.00 and sold it to a customer for 50% more than the purchase price. The customer was charged a 7% tax when the DVD was sold.

What was the customer’s total cost for the DVD?

Answers

Answer:

$19.26

Step-by-step explanation:

12 × .5 = 6

6 + 12 = 18

18 × 0.07 = 1.26

1.26 + 18 = 19.26

19.26
Explaination:
Math and I took the test

Help me please will be appreciated thx

Answers

Answer:

-6 +8d -2c

Step-by-step explanation:

[tex]\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c[/tex]

What is the name of the following net?

Answers

the answer is square pyramid

Answer:

[tex]\large\colorbox{gold}{sǫᴜᴀʀᴇ ᴘʏʀᴀᴍɪᴅ}[/tex]

In order to complete the square for the equation below, what value should be added to both sides of the equation?
x2 - 8x + ? = 42 + ?

Answers

Answer:

? = 16

Step-by-step explanation:

x2 - 8x + ? = 42 + ?

1. Take the coefficient of the middle term 8x, which is 8 and divide it by 2.  [tex]\frac{8}{2} = -4[/tex]. Then square it  [tex]-4^{2} = 16[/tex]

2. Take 16 and add it to both sides: [tex]x^2 - 8x + 16 = 42 + 16[/tex]

2. Take half of the coefficient 8 that you divided by 2, which is 4 and insert 4 into the equation [tex](x -4)^2 = 58[/tex]

3. ? = 16

SOMEONE PLEASE HELP ME ANSWER ALL THESE IM IN SUMMER SCHOOL NO LINKS OR FILES I WOULD DEEPLY APPRECIATE IT<33

Answers

I’m not sure if these are right:
1) 3:4
2)4:5
3)7:5
4)1:1
5)8:9

O capital de R$ 12.000,00 foi aplicado a juros compostos à taxa de 60% ao ano durante 2 anos. Determine o montante? *

Answers

?Answer:

Step-by-step explanation:

PLEASE HELP QUICK!!!
COMPOUND INTEREST!!!
$600 is deposited in an account that pays 7% annual interest, compounded continuously. What is the balance after 5 years?

Answers

9514 1404 393

Answer:

  $851.44

Step-by-step explanation:

The balance is given by the formula ...

  A = Pe^(rt) . . . . principal P, interest rate r, t years

Using the given numbers, we find the balance to be ...

  A = $600·e^(0.07·5) ≈ $851.44

hellp plsssss i need it

Answers

uhhhh obama told me to tell you that your moms friends daughters teachers husbands friends sons has the same question as you

1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
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Answers

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

Find the circumference of a
circle with diameter, d = 10.8cm.
Give your answer rounded to 3
SF.

Answers

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

[tex]2\pi \: r[/tex]

[tex] = (2)(\pi)(5.4)[/tex]

=33.93

C=3.14(10.8)
C=33.912
rounded 33.9
This is my first time doing this if it’s wrong literally Pretend this wasn’t even here

What is the solution of log; (3x+2) = log: (4x-6)?

Answers

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Cancel the log from both sides and you'll get:

[tex]3x + 2 \: = 4x - 6 \: \\ 6 + 2 = 4x - 3x \: \\ x = 8[/tex]

13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an equation to find the dimensions in meters.​

Answers

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

Expand:

45= W² +4W

-45 on both sides:

W² +4W -45= 0

Factorise:

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

Which set of equations shows a way to find 771 - 468?

Answers

Answer:

The one that has 303 as the answer is the correct one

h(-4), h(0), h(4), h(8)

h(x)= {-(x+1)^2 + 7, x<2
{ -1/3x, x>4

h(-4)=
h(0)=
h(4)=
h(8)=


PLEASE HELP

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first two x-values, -4 and 0, fall in the first part of the function definition.

There is no function definition for x = 4, as the second part only applies for x > 4.

The last x-value, 8, falls in the second part of the function definition.

The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...

  h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2

  h(0) = 6

  h(4) = undefined

  h(8) = -8/3

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