1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kipish [7]
3 years ago
7

Find lim h→0 f(2+h)-f(2)/h if f(x)=x^2+x+1

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

5

Step-by-step explanation:

\displaystyle \lim_{h \to 0} \frac{f(2+h)-f(2)}{h}

\displaystyle\lim_{h \to 0} \frac{(2+h)^2 + 2 + h + 1 - 2^2 - 2 - 1}{h}

\displaystyle\lim_{h \to 0} \frac{4 + 4h + h^2 + h - 4}{h}

\displaystyle\lim_{h \to 0} \frac{h^2 + 5h}{h}

\displaystyle\lim_{h \to 0} h + 5

= 5

You might be interested in
The value of a motorbike depreciates by 32% per year. Work out the current value of a motorbike bought 5 years ago for £3600
DaniilM [7]
\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &3600\\
r=rate\to 32\%\to \frac{32}{100}\to &0.32\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
A=3600(1-0.32)^5\implies A=3600(0.68)^5\implies A\approx 523.41601
3 0
3 years ago
HELP DUE in 20 MIN<br> m∠16 =
Ierofanga [76]

9514 1404 393

Answer:

  ∠16 = 47°

Step-by-step explanation:

Vertical and corresponding angles are congruent. The remainder are supplementary to those.

∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°

∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°

8 0
2 years ago
A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be use
Tamiku [17]
75-3×3x=?
I believe that would be the equation. 
7 0
3 years ago
Read 2 more answers
Ron walks 0.5 mile on a track in 10 minutes. Stevie walks 0.25 mile on the track in 6 minutes find the unit rate for each walker
Firlakuza [10]

Answer:

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

Step-by-step explanation:

Given:

Ron takes 10 minutes to walk on a track to cover a distance of 0.5 miles

Stevie takes 6 minutes to walk on a track to cover a distance of 0.25 miles

To find their unit rates in mile per hour and choose the faster one.

Solution:

Unit rate in miles per hour signifies their speeds. Thus, we will find out their speeds.

Ron:

Distance= 0.5 miles

Time = 10 minutes = 10\ min\times \frac{1\ hr}{60\ min}=\frac{1}{6} hours

Speed = \frac{Distance}{Time}=\frac{0.5}{\frac{1}{6}}=0.5\times6=3\ miles/hour

Stevie

Distance = 0.25 miles

Time = 6 minutes = 6\ min\times \frac{1\ hr}{60\ min}=\frac{1}{10} hours

Speed = \frac{Distance}{Time}=\frac{0.25}{\frac{1}{10}}=0.25\times10=2.5\ miles/hour

Thus, we have

Ron's speed = 3 miles/hour

Stevie's speed = 2.5 miles/hour

On comparing we see Ron is walking faster than Stevie.

4 0
3 years ago
3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leav
Delicious77 [7]

Answer:

There are 6 equilateral triangles

you get an isosceles triangle

the height of the equilateral triangle is 4

this is all I have so far :)

3 0
3 years ago
Other questions:
  • Round log 58 to the nearest thousandth
    9·1 answer
  • After being rearranged and simplified which equation cannot be solved using the quadratic formula?
    7·2 answers
  • Express the fraction 11/30 in decmail form
    15·2 answers
  • A polar bear swims 390 meters at a constant rate in 150 seconds. What is the speed of the polar bear?
    12·2 answers
  • Solve for x:<br><br> 17x-6<br> 16x+2<br><br> 1+11x<br> 10x+7
    12·1 answer
  • Suppose you construct line m, l, n so that l//n and m//n which of the following are true?
    9·1 answer
  • M=-8r^2+11r-6<br> t=-7r^2-9r+14<br> m+t=
    8·1 answer
  • 3/4 of Hari's marbles are black and 1/5 are green. What would be the ratio of black marbles to the green marbles?
    6·2 answers
  • I need help please :)
    7·1 answer
  • Can somebody answer this question?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!