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
vodka [1.7K]
2 years ago
10

[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is

Mathematics
1 answer:
otez555 [7]2 years ago
8 0

Answer:

\frac{1}{200}

Step-by-step explanation:

<u>Find the derivative of the function when x=3</u>

<u />y=\sqrt{2(x-1)}

\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}

\frac{dy}{dx}=\frac{1}{\sqrt{4}}

\frac{dy}{dx}=\frac{1}{2}

Since the change in the value of the function is dy and we know that the change in x is dx=0.01, then we have:

\frac{dy}{dx}=\frac{1}{2}

dy=\frac{1}{2}dx

dy=\frac{1}{2}(0.01)

dy=\frac{1}{200}

Therefore, the 2nd option is correct

<u />

You might be interested in
Find the 9th term of the geometric sequence 6,-24,96... <br><br>​
spin [16.1K]

Answer:

A9 = 393216

Step-by-step explanation:

the first thing that will help you solve this question is finding the common ratio between each terms

the first thing that I like to do that usually helps is to take the second term (-24) and divide it by the first term (6) --> this will usually help you spot the common ratio fairly quickly

in your case, the common ratio is -4

- you can also check this by following my note above and then multiplying the second term by the common ratio to see if it matches the third term, which it does!

so now you can go about this two different ways

1. solve directly for the 9th term

2. use the nth term formula for geometric sequences

METHOD 1:

if you continue to multiply by -4 to solve for each term you would end up with:

6, -24, 96, -384, 1536, -6144, 24576, -98304, 393216

and you will recieve 393216 as your answer

METHOD 2:

the nth term formula is An = A1*r^(n-1)

where An = the nth term of the sequence

A1 = first term of the sequence (6)

and r = common ratio

using this formula, you would get:

A9 = 6(-4)^8

A9 = 393216

I hope this helped :)

 

5 0
3 years ago
What is a+b=c if a is equal to b
swat32
If a = b then a + b = c is

2a = c

OR

2b = c
6 0
3 years ago
What is the value of x? 0.9(x+1.4)−2.3+0.1x=1.6
mash [69]
Expand

Simplify 0.9x + 1.26 - 2.3 + 0.1 * x to x - 1.04

add 1.04 to both sides 

simplify 1.6 + 1.04 to 2.64

Answer: x = 2.64
5 0
3 years ago
Read 2 more answers
The slope of the graph is equal to
elena-s [515]

Answer:

what slope and graph? sorry!

8 0
3 years ago
Corrine wants to purchase 9.6 pounds of trail mix. Each pound costs $1.20. How much will Corrine spend on trail mix?
Grace [21]

Multiply 9.6 pounds of trail mix by $1.20.

9.6 * 1.20 = 11.52

Corrine will spend $11.52 on trail mix.

7 0
3 years ago
Read 2 more answers
Other questions:
  • While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to
    14·1 answer
  • Describe the different types of results that will occur when performing transformations on equations that have one solution, no
    8·1 answer
  • Write this number in standard form 2,000,000+80,000+1,000+300+40+3
    14·2 answers
  • Slope= 9; intercept= 2
    13·2 answers
  • How to determine if the line is parallel , perpendicular, or neither
    5·1 answer
  • PLEASE HELP WITH THIS ALGEBRA QUESTION!!!!
    12·1 answer
  • If you answer this you will get 100 points pls answer hurry it’s due in 20 mins
    13·2 answers
  • A scuba diver is swimming 15 feet below the water’s surface.
    10·1 answer
  • Which expression is equivalent to -4(5x - 9) + 6(2x + 5)?
    14·1 answer
  • Determine the length of CD. Show your work.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!