find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)​

Answers

Answer 1

Answer:

0

General Formulas and Concepts:

Derivative is the slope of the tangent line

Derivative of a constant = 0Derivative of cos(x) = -sin(x)

Step-by-step explanation:

Step 1: Write function

f(x) = 2 + 3cos(x) (π, -1)

Step 2: Solve

Find 1st Derivative:                    f'(x) = -3sin(x)Substitute:                                  f'(π) = -3sin(π)Evaluate:                                    f'(π) = -3(0)Multiply:                                      f'(π) = 0

Step 3: Define

f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.


Related Questions

What is the factored form of this expression? 4x^3 - 8x^2 - 9x + 18

A. (2x + 3)(2x - 3)(x - 2)

B. (2x + 3)(2x + 3)(x - 2)

C. (2x + 3)(2x - 3)(x + 2)

D. (2x - 3)(2x - 3)(x - 2)

Answers

Answer: D

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

(2x + 3)(2x - 3)(x - 2).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4x³ - 8x² - 9x + 18

We will check the expression in factor form:

A.

(2x + 3)(2x - 3)(x - 2)

(2x + 3) (2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x + 6x² - 12x - 9x + 18

4x³ - 8x² - 9x + 18 ____(1)

B.

(2x + 3)(2x + 3)(x - 2)

(2x + 3) (2x² - 4x + 3x - 6)

4x³ - 8x² + 6x² - 12x + 6x² - 12x + 9x - 18

4x³ + 4x² - 15x - 18 ____(2)

C.

(2x + 3)(2x - 3)(x + 2)

(2x + 3) (2x² + 4x - 3x - 6)

4x³ + 8x² - 6x² - 12x + 6x² + 12x - 9x - 18

4x³ + 14x² + 3x - 18 ____(3)

D.

(2x - 3)(2x - 3)(x - 2)

(2x - 3) ( 2x² - 4x - 3x + 6)

4x³ - 8x² - 6x² + 12x - 6x² + 12x + 9x - 18

4x³- 20x² + 33x - 18 ____(4)

From (1), (2), (3), and (4) we see that,

(2x + 3)(2x - 3)(x - 2) is the factor form of the expression (2x + 3)(2x - 3)(x - 2).

Option A is the correct answer.

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What is the slope of a line that contains the points (-6 , 1) and (4 , -4)?

Answers

Answer:

-1/2

Step-by-step explanation:

For this question we use the slope formula: [tex]m = (y_{1} - y_{2})/(x_{1}-x_{2})[/tex]

chug and plug: m = (1 - (-4))/(-6-4)

m = -0.5 or [tex]-\frac{1}{2}[/tex]

The slope of a straight line passing through the points (-6 , 1) and (4 , -4) is -1/2.

What is Slope of a straight line?

The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -

m = (y₂ - y₁)/(x₂ - x₁)

Given is a line that passes through the points (-6 , 1) and (4 , -4).

The slope of a straight line passing through two points is given by -

m = (y₂ - y₁)/(x₂ - x₁)

The coordinates given are (-6 , 1) and (4 , -4).

Substituting them in the formula, we get -

m = (- 4 - 1)/(4 + 6)

m = (- 5)/(10)

m = -1/2

m = -1/2

Therefore, the slope of a straight line passing through the Points (-6 , 1) and (4 , -4) is -1/2.

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please solve need help ASAP :)

Answers

Answer:

p^m+n

Rember than please

<3

Red

Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division

Answers

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

The first operation that needed to solve the equation is; Addition

Which sequence of steps are needed to solve the given equation?

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

Addition

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Answer: It would be addition

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Luci cuts a board that is 5/9 yard long into pieces that are 5/18 yard long. How many pieces does she cut?

Luci cuts ___ pieces

Answers

Answer:

2

Step-by-step explanation:

9x2=18

5x2=10

10/18=5/9

10/18 divided by 2 5/18

so its 2

Raoul make shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. Raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?

Answers

Answer: The percent markup for a shell necklace = 200%

Step-by-step explanation:

Given: Cost price per necklace = $3.75

Selling price per necklace =  $11.25

Mark up = (Selling price -  Cost price )

= $ (11.25 -3.75 )

=$ 7.5

The percent markup for a shell necklace = [tex]\dfrac{\text{Mark up}}{\text{cost price}}\times100\%[/tex]

[tex]=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%[/tex]

Hence, The percent markup for a shell necklace = 200%

The percent markup for a shell necklace is 200%.

Definition of markup

Markup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.

Calculation of percentage markup

Percentage markup = (profit / cost price) x 100

Profit = $11.25 - $3.75 = $7.50

Percentage markup = ($7.50 / $3.75) x 100 = 200%

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The dependent variable of Ally works in a shop for 18$ per hour

Answers

Answer:

$18 is the dependent variable

Step-by-step explanation:

$18 depends on the duration of time worked. Hope this helps and good luck on your assignment. (mark me brainliest please?)

Which fractions have a decimal equivalent that is a repeating decimal 13 65, 141-47, 11-12 or 19-3

Answers

Answer:

Step-by-step explanation:

If you convert 13/65 to a decimal its 0.2, thats not repeating, if u convert 141/47 to a decimal its 3, so thats not repeating. If you convert 11/12 to a dec. its repeating 0.9166666666667 so yes its repetitive and 19/3 converted to a decimal is 6.333333333 its repetitive. 11/2 and 19/3 are the answers. Woohoo

Fractions 11 / 12 and 19 / 3 have the decimal equivalent which is a repeating decimal.

Given that,
Fraction, 13 / 65, 141 / 47, 11 / 12 or 19 / 3 are given.
We have to determine that fractions have a decimal equivalent that is a repeating decimal.

What is a recurring decimal?

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Here,

13/65 = 0.2
141 / 47 = 3
11/ 12 = 0.9166666666......
19/3 = 6.333333333
So, from the above calculation, 11 / 12 and 19 / 3 have the repeating decimal.

Thus, Fractions 11 / 12 and 19 / 3 have the decimal equivalent which is a repeating decimal.



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A train travels at an average rate of 40 miles per hour. How many hours does it take the train to travel 2760 miles?

Answers

Answer:the correct answer is 69 hours

Step-by-step explanation:

Answer:

69 hours

Step-by-step explanation:

GIVEN:

Unit rate of 40 mphOverall miles of 2760

Using this information, all we have to do is divide 2760 by 40! This will give us an estimate of how many miles this train should take to travel 2760 miles.

[tex]\frac{2760}{40} = 69[/tex]

Hope I was of assistance! #SpreadTheLove <3

PLEASE HELP ASAP!!!!

Find the volume of a right circular cone that has a height of 9.7 ft and a base with a
radius of 7.6 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Answer:

1/3*9.7*Pi*7.6^2 ft^3 and then round to nearest tenth

Step-by-step explanation:

The trick is knowing that the volume of the cone is exactly 1/3 of the volume of the cylinder with the same radius & height. This relation can be derived using integrals.

Answer:

586.7

Step-by-step explanation:

answers may vary to what teachers want but thats what i got according to delta math

A landscaper needs to estimate the amount of material required for a project building a circular brick patio for a client. The diameter of the patio is 13m and one bundle of brick will cover 116ft^2. How many bundles does he need?

Answers

Answer:

13 bricks

Step-by-step explanation:

Given parameter:

Diameter of the patio = 13m

Area of one bundle of brick  = 116ft²

Unknown:

The number of bricks that will cover the patio = ?

Solution:

To solve this problem, we must find the area of the patio first.

     Area of the patio = π r²

r is the radius of the patio;

   Radius  = [tex]\frac{13}{2}[/tex]

 So area = π  x ( [tex]\frac{13}{2}[/tex]) ² = 132.75m²

Now, let us convert the Area of the brick from ft² to m²;

     1ft²  = 0.093m²

   116ft² = 0.093 x 116  = 10.79m²;

The number of bricks required to cover the patio = [tex]\frac{132.75}{10.79}[/tex]   = 12.3 bricks,

Realistically, about 13 bricks would be needed.

(5,9), (5-3)
what is the slope?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you want to find out what the slope is, you have to remember what the formula is first....

[tex]m=\frac{y}{x} =\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

so in this case -3 would be the [tex]y_{2}[/tex] because it's the y in the ordered pair and it's the second one. Then one of the 5's would be [tex]x_{2}[/tex] and 9 would be [tex]y_{1}[/tex] and then the other 5 would be [tex]x_{1}[/tex].

now if we plug it in

[tex]\frac{-3-9}{5-5} =\frac{-12}{0}[/tex]

now we can tell that we can't divide by zero so the slope would be unidentified and that's it.

Solve the equation because I really need help

Answers

Answer:

No Solution

Step-by-step explanation:

P.E.M.D.A.S

4(x+5) = 21 + 4x

4x+20 = 21+4x

we would subtract 4 on both sides to isolate 4 by it self.

subtract 4x on both sides but when we do we get 0 for x

4x-4x + 40 = 21 + 4x-4x

we get 40 = 21

So our answer is no Solution or unless your just tryning to find out that the total is with out x 40 = 21

high hopes ^^

Barry

A 16-cup carton of ice cream costs $26.72. What is the price per pint?

Answers

Answer:

$3.34

Step-by-step explanation:

Please find angles s and k

Answers

Answer:

s-64 and k-116

Step-by-step explanation:

What transformation occurs to the graph f (x) =2x + 3 if the 3 in the equation is changed to a 5?

Answers

The equation will shift up two points

A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies
9 muffins and 15 pizza pies
15 muffins and 6 pizza pies
18 muffins and 6 pizza pies

Answers

Answer:

b

Step-by-step explanation:

9 muffins and 15 pizza pies. im pretty sure

What is the square root of 16?
A.4
B.6
C.8
D.10

Answers

Answer:

4

Step-by-step explanation:

because i know how to do it

Answer:

A. 4

Step-by-step explanation:

Square root means " a number which produces a specified quantity when multiplied by itself."

When you multiply 4 and 4, you get 16.

I’ll mark brainliest!!!! What is the length of BC in the right triangle below?
A. 63
В. 3
С. 21
D. -/63
E. 15
Е 225

Answers

Answer:

E. 15

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

9²+ 12²= c²  (This is the info we have so far.)

81 + 144 = c² (Simplify. 9² = 81 ; 12² = 144)

225 = c² (Added 81 + 144 = 225)

√225 = 15 (Square root of 225 is 15.)

Answer:

Step-by-step explanation:

15

Simplify 12x7y3 divided by 6x3y

Answers

Answer:

12x7y3

----------- = 6x4y3

 6x3y

Step-by-step explanation:

In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.

6.) The length of a rectangle is 19 feet longer than the width. If the perimeter is 46
feet, write an equation for this scenario where "x" represents the width.

Answers

Step-by-step explanation:

The perimeter can be expressed as

P=2L+2W

let the width be x

W=x

L=x+19

perimeter P=46ft

Therefore substituting and solving for x we have

46=2(x+19)+2x

46=2x+38+2x

46=2x+2x+38

46-38=4x

8=4x

x=8/4

x=2

the width is 2

the lenght = 2+19=21

HELP NEEDED MATHS PLEASE!!!

Answers

Answer:

f(3)= 3+1

=4

gf(3) is attached.

Find the ordered pair $(x,y)$ that satisfies the system of equations

Answers

Answer:

(9,6)

Step-by-step explanation:

9+6=15

9-6=3

Answer:

(9,6)

that's the answer

this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week

Answers

Answer:

lost 12

Step-by-step explanation:

3x - 15 = 7 - 8x how do you solve this​

Answers

Answer:

X=2

Step-by-step explanation:

3x-15=7-8x

3x+8x=7+15

11x=22

x=[tex]\frac{22}{11}[/tex]

x=2

Answer:

324

Step-by-step explanation:

3x3 = 9

9-15 = -6

8x8=64

7-64=-54

-54 x -6 = 324

Maria played a game with her little sister for 2/5 hour and read her little sister a book for 5/8 hour.

What is the best estimate for the total time Maria spent with her little sister?

Drag and drop an answer into each box to correctly complete the sentences.

​2/5​ hour is closest to . 5/8​ hour is closest to . Therefore, the best estimate for the total time Maria was with her sister is close to .

Answers

Answer:

Step-by-step explanation: 60÷8=7.5x5=37. 5

60÷5=12x2=24

24+37.5=61.5

It was exactly 61 minutesand 50 seconds

Answer:

60÷8=7.5x5=37. 560÷5=12x2=2424+37.5=61.5It was exactly 61 minutes and 50 seconds

Step-by-step explanation:

The hypotenuse of a right triangle is 5inches long. The shorter leg is 1 inch shorter than the longer leg. Find the side lengths of the triangle.

Length of the shorter leg:

Length of the longer leg:
Length of the hypotenuse:

Answers

Answer:

Hypotenuse = 5 in

Longer leg = 4 in

Shorter leg = 3 in

Step-by-step explanation

The longer leg = x

The shorter leg = x - 1

Now through Pythagoras theorem:

hyp^2 = leg1^2 + leg2^2

5^2 = x^2 + (x - 1)^2

25 = x^2 + x^2 - 2 x + 1^2

25 = 2 x^2 - 2 x + 1

2 x^2 - 2 x - 24 = 0

2 ( x^2 - x - 12) = 0

2 (x - 4) (x + 3) =0

then x = 4  or x = - 3

We use the positive answer since we are looking for a length

then longer leg is 4 inches long,

and therefore the shorter one is one inch shorter than 4 in . That is:

shorter leg = 3 inches

solve D

6d-11/2=2d-13/2

Answers

Answer:

d = -1/4 or -0.25

now that i helped you can you go follow my twitch KayduxTV

Step-by-step explanation:

Answer:

d= -1/4

Step-by-step explanation:

First: subtract 2d from each side so you end up with 4d-11/2=-13/2

Second: next add 11/2 to both sides so you end up with 4d=-1

last: divide each by 4 to get d by itself

your final amswer is d=-1/4

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.

Answers

Answer:A

Step-by-step explanation:

The best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.

What are statistics?

Statistics is the study of the discipline that concerns the organization, collection, analysis, and presentation of data.

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers.

For both measures, smaller values indicate higher quality.

Variable DF Estimate SE T

Intercept 1 −5.0 0.26 −19.3

WHIP 1 6.8 0.14 47.4

ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.

Thus, the best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.

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the value of the 3 in 783.97 is blank the value as the 3 in 6.529.34

Answers

Answer:

the first 3 is 30 the second is 3/10

Step-by-step explanation:

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