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
Veronika [31]
2 years ago
6

Suppose y = sqrt 2x+1, where x and y are functions of t.

Mathematics
1 answer:
frutty [35]2 years ago
5 0

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

3 = 1/√81 • dx/dt

3 = 1/9 • dx/dt

dx/dt = 27

You might be interested in
I need to find the slope.​
OLga [1]

Answer:

The slope is 3/2

4 0
3 years ago
Read 2 more answers
Which of the following are square roots of 64? (check all that apply)
Angelina_Jolie [31]
The square roots of 64 is A B and C.
  
             
3 0
3 years ago
Which statements are true about these lines? Select three options.
Evgen [1.6K]

Answer:

Line sw has an underfined slope

Line tv has a slope of 0

Line rs and tv are parallel

Step-by-step explanation: I got it right on my quiz

4 0
3 years ago
Read 2 more answers
Find the value of 16% of 174<br><br><br><br><br><br>​
Nadya [2.5K]

Answer:

16% of 174 = 27.84

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

4 0
2 years ago
What is a third in 420
kolezko [41]
420/3 = 140 rubies
Since they use 20 rubies you would do the total amount of rubies by 20.
140/20 = 7
7 0
3 years ago
Other questions:
  • The bacteria starts at 2million.The doctor prescribes an antibiotic that reduces the bacteria population to 1/4 of its size each
    14·1 answer
  • What series of transformations would carry parallelogram ABCD onto itself?
    10·1 answer
  • F(x) = x2 -2x &amp; g(x) = 12-8x.<br> Find f(2) - g(3)
    15·1 answer
  • Write the numbers in order from greatest to least.<br> 4.58, 6.21, 2.4, 3.012
    11·1 answer
  • What is the measure of
    9·1 answer
  • Find x.<br> (4x + 16)<br> (2x + 34)<br> A. X = 9<br> B. X= 52<br> C. X = 21.7<br> D. X = 25
    7·2 answers
  • PLZ HELP, GIVING BRAINLIEST!! Which of these choices are equivalent to the expression i^85? a. i^7 b. i^26 c. i^41 d. i^99
    10·1 answer
  • Helppppp please can someone please answer this
    12·1 answer
  • Please help i dont understand
    9·2 answers
  • Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!