For the function f(x) = x2 + 3, find the slope of the tangent line at x = 11.

Answers

Answer 1

Given:

The function is

[tex]f(x)=x^2+3[/tex]

To find:

The slope of the tangent line at x = 11.

Solution:

The slope of the tangent is the value of f'(x) at x=11.

We have,

[tex]f(x)=x^2+3[/tex]

Differentiate with respect to x.

[tex]f'(x)=2x+0[/tex]              [tex]\left[\because \dfrac{d}{dx}x^n=nx^{n-1},\dfrac{d}{dx}C=0,\text{ where C is constant}\right][/tex]

[tex]f'(x)=2x[/tex]

Substitute x=11 in the above equation.

[tex]f'(11)=2(11)[/tex]

[tex]f'(11)=22[/tex]

Therefore, the slope of the tangent at x=11 is 22.


Related Questions

please help me please

Answers

Answer:

decreasing, linear

Step-by-step explanation:

you could find the first differences and then the secon ddifferences, but when it's allowed to use Desmos, why not, lol, so, looking at the 4 points plotted on Desmos, it is decreasing, and linear

Answer:

Decreasing; Linear

Step-by-step explanation:

This is a linear line for a fact.

And the line is decreasing. I used desmos to graph these points.

You can see for yourself, in the image I provided

Karim wants to buy a shirt that normally sells for $46.50. It is on sale for 3 off. How much does Karim need to pay to
buy the shirt on sale?
$15.50
$22.50
$31.00
$41.50

Answers

Answer:

The answer is 41.50 i just took it

Step-by-step explanation:

i just took it

Work out the length AC.

Answers

Answer:

[tex]\sqrt{ 105}[/tex]

Step-by-step explanation:

→ Utilise Pythagoras theorem

[tex]\sqrt{11^{2} -4^{2} } =\sqrt{121-16} =\sqrt{105}[/tex]

3 2/5 as an improper fraction

Answers

Answer:

17/5

Step-by-step explanation:

Multiply 3 with the denominator 5.

3 * 5 = 15

Then add the product to the numerator

15 + 2 = 17

Keep the 5 as the denominator.

So the final answer is 17/5

The mixed fraction [tex]3\frac{2}{5}[/tex] as improper fraction is 17/5.

To convert the mixed number [tex]3\frac{2}{5}[/tex] to an improper fraction, we need to combine the whole number part with the fractional part.

The whole number 3 can be written as a fraction with the same denominator as the fractional part (5):

3 = 3/1

Now, add the fractional part 2/5 to the whole number 3/1:

3 + 2/5

To add fractions, we need a common denominator.

In this case, the common denominator is 5.

Now, rewrite 3 as a fraction with the common denominator 5:

3 = (3 × 5)/5

= 15/5

Now, add the fractions together:

15/5 + 2/5 = 17/5

So, the mixed number [tex]3\frac{2}{5}[/tex] as an improper fraction is 17/5.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

PLEASE i need help it's for a math test and i'm lost

Answers

Answer:

x^3 - 9[tex]x^{2}[/tex] + 27x - 27

Step-by-step explanation:

How do u write 25% as a fraction or mixed number?

Answers

Answer:

fraction- 1/4

Y= Two thirds x minus 3

Answers

slope: 2/3
y-intercept: -3

Help please! im lost i cant figure this out!

Answers

Answer:

c 3/4, 0.8, 94%

Step-by-step explanation:

I would convert all of these to decimals first so its not as confusing

a). 0.54, 0.70, 0.40 not in order

b). 0.67, 0.50, 0.80 not in order

c). 0.75, 0.80, 0.94 in order

d). 0.70, 0.54, 0.67 not in order

3. What is the proportional relationship represented by this table?

Answers

In a table of a proportional relationship, there is always some number that you can multiply by the number in the first column to get the number in the second column for any row. This number is called the constant of proportionality. In the fruit juice example, the constant of proportionality is 0.4.

In a table of a proportional relationship, there is always some number that you can multiply by the number in the first column to get the number in the second column for any row. This number is called the constant of proportionality. In the fruit juice example, the constant of proportionality is 0.4.

evaluate 1/6t + 5/18 when t = 1/3

1/6(__)+5/18=_/_+5/18​

Answers

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]

1/3 is the right value of the given equation.

grade 8 unit rate pls add explanation

Franklin needs 2.75 cups of flour for every 1.5 cups of sugar in his cookie recipe. This will yield 3.5 dozen cookies. What is the unit rate for sugar per cookie? Round your answer to the tenths place.

Answers

Answer:

Is it .04

Step-by-step explanation:

Find the measure of each numbered angle.

Answers

Answer:

Angle 1 is 105 as Z rule

Angle 2 is 75 per the angles of the straight line

Angle 3 is 90, and in turn as angles around a point, so is 4

I may be wrong...angles arent my strength, but I think its pretty accurate

Step-by-step explanation:

ask me abt anything even though i might not have the answer




this isss mee btw

Answers

okay hmmm. whats your sexuality , Dont answer if you dont want!! me: bi

Answer:

why ................ btw thats my question

what is the positive number that is 7 times its rightmost digit?

Answers

Answer:

A 7-digit number is read as millions or ten-lakhs.

10 ones make a ten, 10 tens make a hundred, 10 hundreds make a thousand, 10 thousands make a ten-thousand, 10 ten-thousands make a hundred-thousand and 10 hundred-thousands make a million.

Step-by-step explanation:

please mark me as brainliest thank you

5. Verify the property a× (b-c)= a×b-a×c for each of the following:
a= -3\5; b= 5\9; c= -10\3​

Answers

Answer:

We conclude that

[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]

           [tex]-\frac{7}{3}=-\frac{7}{3}[/tex]

        L.H.S = R.H.S    

Step-by-step explanation:

Given the property expression

[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]

Given that:

a = -3/5b = 5/9c = -10/3

Determining the LEFT-HAND SIDE

[tex]a\times \left(b-c\right)[/tex]

substituting a= -3/5, b= 5/9 and c= -10/3​

[tex]a\times \left(b-c\right)\:=\:\:-\frac{3}{5}\times \left(\frac{5}{9}-\left(-\frac{10}{3}\right)\right)\:\:\:\:\:\:\:\:\:\:\:\:[/tex]

                  [tex]=-\frac{3}{5}\times \:\left(\frac{5}{9}+\frac{10}{3}\right)\:\:\:[/tex]

                  [tex]=-\frac{3}{5}\times \frac{35}{9}[/tex]

                   [tex]=-\frac{7}{3}[/tex]

Determining the RIGHT-HAND SIDE              

[tex]\:a\times \:b-a\times \:c[/tex]

substituting a= -3/5, b= 5/9 and c= -10/3​

[tex]\:a\times \:b-a\times \:c=ab-ac[/tex]

                      [tex]=-\frac{3}{5}\left(\frac{5}{9}\right)-\left(-\frac{3}{5}\right)\left(-\frac{10}{3}\right)[/tex]

                      [tex]=-\frac{3}{5}\cdot \frac{5}{9}-\frac{3}{5}\cdot \frac{10}{3}[/tex]

                      [tex]=-\frac{15}{45}-\frac{30}{15}[/tex]

                      [tex]=-\frac{1}{3}-2[/tex]

                      [tex]=\frac{-7}{3}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]

                      [tex]=-\frac{7}{3}[/tex]

Therefore, we conclude that

[tex]a\times \left(b-c\right)=\:a\times b-a\times c[/tex]

           [tex]-\frac{7}{3}=-\frac{7}{3}[/tex]

        L.H.S = R.H.S                                          

Use the figure to complete each statement
1-6. pleaseee help will give brainliest

Answers

Answer:

1. UW // TX

2. VX // UY

3. UW ≅ TYYX

4. YW = [tex]\frac{1}{2}[/tex] TV

5. TX = 2 UW

6. ∠TXV ≅∠WUY

Step-by-step explanation:

The line segment joining the midpoint of two sides of a triangle is parallel to the third side and equal to half its length

In Δ XVT

∵ U is the midpoint of VT

∵ W is the midpoint of VX

∵ XT is the 3rd side of the triangle

→ By using the rule above

UW // TX ⇒ (1)

∴ UW = [tex]\frac{1}{2}[/tex] TX

→ Multiply both sides by 2

∴ 2 UW = TX

TX = 2 UW ⇒ (5)

∵ Y is the midpoint of TX

∴ TY = YX = [tex]\frac{1}{2}[/tex] TX

∵ UW = [tex]\frac{1}{2}[/tex] TX

UW ≅ TY ≅ YX ⇒ (3)

∵ U is the midpoint of VT

∵ Y is the midpoint of XT

∵ VX is the 3rd side of the triangle

→ By using the rule above

∴ UY // VX

VX // UY ⇒ (2)

∴ UY = [tex]\frac{1}{2}[/tex] VX

∵ W is the midpoint of VX

∵ Y is the midpoint of XT

∵ TV is the 3rd side of the triangle

→ By using the rule above

∴ YW // TV

YW = [tex]\frac{1}{2}[/tex] TV ⇒ (4)

2 Δs UYW and XVT

∵ UY = [tex]\frac{1}{2}[/tex] XV

∵ YW = [tex]\frac{1}{2}[/tex] VT

∵ WU = [tex]\frac{1}{2}[/tex] TX

∴ [tex]\frac{UY}{XV}[/tex] = [tex]\frac{UW}{VT}[/tex] = [tex]\frac{WU}{TX}[/tex] = [tex]\frac{1}{2}[/tex]

→ By using the SSS postulate of similarity

∠TXV ≅∠WUY ⇒ (6)

Help please?????????????

Answers

Answer:

D.) 3x - 3

Step-by-step explanation:

X - 4 + 2x + 1

= X + 2x - 4 + 1

= 3x - 4 + 1

= 3x - 3

I hope this helps!

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly jumps onto a lily. Describe the complement of the frog landing on a yellow lily and find its probability.

Answers

Answer:

The probability of the frog landing on a complement of yellow lily is 0.57

Step-by-step explanation:

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.

The complement is  [tex]1-p[/tex].

It is given that 43% of plants are lilies it means the probability of a frog randomly jumps onto a lily is: [tex]p=0.43[/tex]

Now the complement is:

[tex]1-p=1-0.43[/tex]

[tex]1-p=0.57[/tex]

Hence, the probability of the frog landing on a complement of yellow lily is 0.57

Emmy makes $11.50 an hour and get a 3% raise. Answer the following question . How much is her raise ? How much money is Emmy making an hour after her raise ?

Answers

Answer:

How much is her raise?

Her raise is at 0.345$

Hourly pay after raise?

Her new pay rate is 11.845$/h

Step-by-step explanation:

New hourly pay:

[tex]11.50 \times 1.03 = 11.845[/tex]

Actual raise:

[tex]11.845 - 11.50 = 0.345[/tex]

What is the measure of CAE?
135"
A. 80°
B. 25°
C. 55°
D. 40°

Answers

She’s wrong the answer is: D

Argument
The formula for the angle between 2 secants is


Givens


1/2 (135 - 55) = 1/2 * 80 = 40
Answer D

Answer:

The answer is 40.

Step-by-step explanation:

I just got it correct.

On a treasure map the actual distance is derectly velated to the scaled distance if 15 miles is represented by 3 centimetres thenvhhow many centimeters to 135 miles

Answers

Answer:

27 Centimeters

Step-by-step explanation:

Calculation for how many centimeters on the

treasure map is equivalent to 135 miles

Number of Centimeters to 135 miles=[135 miles/(15 miles÷3 centimetres)]

Number of Centimeters to 135 miles=135 miles/5

Number of Centimeters to 135 miles=27 Centimeters

Therefore the numbers of centimeters on the

treasure map that is equivalent to 135 miles is

27 Centimeters

which of the following pair of triangles can be proven congruent through SSS​

Answers

Answer:

C

Step-by-step explanation:

For A, only two sides are congruent, while the third is not

For B, You have two sides and an angle, which is SAS, not SSS

A group of friends wants to go to the amusement park. They have no more than $275

to spend on parking and admission. Parking is $5, and tickets cost $27 per person,

including tax. Write and solve an inequality which can be used to determine 2, the

number of people who can go to the amusement park.

Answers

Answer:

10 persons

Step-by-step explanation:

Step one:

given data

We are told that they have a total of $275

also, they want to spend $5 on packing space

and a ticket cost $27 per person.

Step two:

let the number of persons be x

and let the total amount to be spent be y

hence the inequality is

y≤ 5+ 27x

now for y= $275, let us find x

Substitute into the inequality we have

275≤5+27x

275-5≤27x

270≤27x

Divide both sides by 27

x ≤ 270/27

x ≤ 10

Hence the number of persons should not be more than 10

Answer:

Inequality: 25x+10_<275

Answer: x_<10.6

Step-by-step explanation:

I have delta math also. This is the exact ANSWER! So i am too lazy to explain it but actually that is correct. I tried to put a screenshot in here but it wont let me for some reason? BUT THIS IS THE ANSWER!

Your welcome (○` 3′○)

X squared + 3X -27/4 = 0

Answers

Answer:

Applying the quadratic formula.

Exact Form:

x=32,−92

Decimal Form:

x=1.5,−4.5

Mixed Number Form:

x=112,−412

Step-by-step explanation:

Solve the equation: x2 + 3x -27/4 = 0 With the coefficients: a = 1, b = 3, c = -6.75 a ≠ 0 With ∆ = 36> 0 => Equation has 2 distinct solutions

 x1 = 1.5, x2 = -4.5

Rewrite 18 /5 as a mixed number.
5 1/3
5 5/3
3 3/5
3 5/3

Answers

Answer:

your awnser is 3 3/5

Step-by-step explanation:

all u do is 18 divided by 5 wich gives u 3 with a leftover of 3 so that gives u 3 3/5

Answer:

3 3/5

Step-by-step explanation:

You count by 5 until it wont fit in to 18 what you have left over ( 3 ) is your numerater. However many times 5 went into 18 Is your whole number.

Pls help??????????????

Answers

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Which slope represents the greatest rate of change?

1) m = -8

2) m = 4

3) m = -10

4) m = 8

Answers

3) m = -10

although a negative slope, it still has the greatest rate of change since the slope is steeper than the rest.

If a large sized pizza of diameter 35 cm is kept on a rectangular base of dimensions 50 cm x 60 cm. Find the area of the base excluding the pizza.​

Answers

Answer:

2037.89

Step-by-step explanation:

The area of a circle is πr²

This means that the area of the pizza is π*17.5^2

This means that the area =962.11275016187

We then need to find the area of a rectangle which is shown throuhg lenght*width

50*60=3000

We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza

so we have

3000-962.11275016187=2,037.88724983813

Round and get 2037.89

Pls need help fast ._.

Answers

Answer:

65.75% change

Step-by-step explanation:

Equation for percent change

(|x2-x1| / x1) * 100%

48 million / 73 million * 100% = 65.75% decrease

the area of four walls of a room=2h(l+b).find the area of four walls in square.m

85) A6-foot man casts an 8-foot shadow. How tall is a tree that casts a
20-foot shadow?

Answers

Answer:

15 foot

Step-by-step explanation:

6 foot = 8 foot shadow

3 foot= 4 foot shadow

15 foot=20 foot shadow

please give me brainliest!!!

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