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
nadezda [96]
3 years ago
10

If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

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

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} (your average rate of change)

You might be interested in
Name three faces of the cube that intersect at point G.
sveta [45]
I am not completely sure how to name faces, but I will name them using all four points.

Faces DCBA
Faces BFGC
Faces HGFE
5 0
3 years ago
James is building a sandbox with a width of 4.8 feet and a length of 7.7 feet. ABOUT how much wood will James need to buy to con
4vir4ik [10]

Answer:

it is 25 ft

Step-by-step explanation:

you just add 7.7+7.7+4.8+4.8 to get 25

8 0
3 years ago
Read 2 more answers
I need help with B!!
statuscvo [17]
400 grams of trail mix
5 0
3 years ago
Read 2 more answers
3x-5y=12 <br>solve for Y​
ladessa [460]

Answer:

y=12/5−3x/5

Step-by-step explanation:

might be wrong

4 0
3 years ago
Read 2 more answers
What is the height of a triangle that has an area of 60 yards^2 and a base of a length of 12 yards?
zmey [24]
For a triangle:
A=\frac{b \times h}{2}
60=\frac{12\times h}{2}
120=12h
h=\frac{120}{12}
h=10yrd
3 0
3 years ago
Other questions:
  • Divide. −10 ÷ −2
    5·2 answers
  • Which of the following represents the sentence shown? “Twice a number, n, decreased by six is fourteen.”
    10·1 answer
  • Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is. x – 2?.
    5·2 answers
  • Solve the equation 6m+7.2
    14·1 answer
  • The consecutive angles of a parallelogram are congruent A) Always. B) Sometimes. C) Never
    11·1 answer
  • 13p + 5p - 9p -2p=7 what is p
    11·1 answer
  • What is 80 divided by 60
    11·1 answer
  • 4 students each write an equation which student's equation is true
    7·2 answers
  • the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that,
    5·1 answer
  • 3x9+7 use pemdas right answers only​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!