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
netineya [11]
2 years ago
6

Dy/dx y = 3root(4x+1) -2x

Mathematics
2 answers:
scoray [572]2 years ago
5 0

Answer:

Step-by-step explanation:

y = 3(4x + 1)^1/2 - 2x

dy/dx = 3*1/2(4x + 1)^-1/2 * 4  - 2

= 4 * 1.5 (4x + 1)^-1/2 - 2

= 6(4x + 1)^-1/2 - 2

= [6/√(4x + 1)] - 2

y = 3(4x + 1)^1/2 - 2x

∫3(4x + 1)^1/2 - 2x . dx

= 3 * 1/4 *  (4x + 1)^3/2 / 3/2 - x^2 + C

= 3/4 * 2/3 (4x + 1)^3/2 - x^2 + C

= 1/2((4x + 1)^3/2 - 2x^2) + C.

miss Akunina [59]2 years ago
4 0

Answer:

Step-by-step explanation:

y=3*\sqrt{4x+1} -2x\\\\y'=\dfrac{dy}{dx} =\dfrac{3}{2*\sqrt{4x+1} } -2\\\\\\\int {(3*\sqrt{4x+1} -2x}) \, dx \\\\=\dfrac{3}{4} *\int {4*(4x+1)}^{\frac{1}{2}}  \, dx      -2\int {x} \, dx \\\\=\dfrac{-3}{4}*\sqrt{(4x+1)^3} *\dfrac{2}{3}  }-x^2+C\\\\=\dfrac{\sqrt{(4x+1)^3}}{2} -x^2+C

You might be interested in
What is 0.25x20 show and explain your answer
igomit [66]

Answer:

5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series
Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

a,ar^1,ar^2,ar^3......

The sum of n terms of a GP is given by :

S_n=\dfrac{a(1-r^n)}{1-r}

Here, n = 6

S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504

So, the sum of the first 6 terms of the series is 504.

4 0
3 years ago
A caterpillar eats 75 leaves in 5 hours. How many leaves will the caterpillar eat in 8 hours if it continues to eat at the same
Dahasolnce [82]

Answer:

120 leaves

Step-by-step explanation:

If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.

How I found the answer:

First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.

3 0
3 years ago
Read 2 more answers
Help again?????????????
vesna_86 [32]

Answer:

The answer is D

5 0
3 years ago
Ben writes the number 74,443. The value of the digit 4 in the hundreds place is 10 times the value of the digit 4 is what place
Minchanka [31]
Place Value Going to Left of Decimal:

Decimal
Ones
Tens
Hundreds
Thousands
Ten-Thousands

The middle 4 in 74,443 is in the hundreds place. The 4 next to the 3 is in the tens place.

The 4 in the tens place is worth 40. 40 * 10 would equal the 400 in the hundreds place.


ANSWER: tens place

Hope this helps! :)
6 0
3 years ago
Other questions:
  • How to write a standard form equation with an undefined slope?
    5·1 answer
  • Simplify 3r+n2-r+5-2n+2
    9·2 answers
  • 672,591 is closer to
    14·1 answer
  • Plz help i need help on this i do not get it
    6·2 answers
  • Write an equation and graph it to show that it is either a function or not. Provide a picture of your graph
    9·1 answer
  • During his hike, Milt drank 1 liter of water and 1 liter of sports drink. How many milliliters of liquid did he drink?
    15·1 answer
  • Definition: A __ is a number that makes an equation true<br> hint: first two letters: ro
    14·2 answers
  • Help please!! <br> can you put 5x+4&gt;=2x-9 on a graph! thank you!
    7·1 answer
  • Which one of the 4 red digits,<br> will make all 3 numbers prime?
    11·1 answer
  • K sooo, i have solve for x and the equation is 5x-7=3x+3 now move all constants to the to the other side of the equation 2x-7=3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!