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
Setler [38]
2 years ago
7

Calculus question?

Mathematics
1 answer:
Ann [662]2 years ago
5 0
Remark
If you don't start exactly the right way, you can get into all kinds of trouble. This is just one of those cases. I think the best way to start is to divide both terms by x^(1/2)

Step One
Divide both terms in the numerator by x^(1/2)
y= 6x^(1/2) + 3x^(5/2 - 1/2)
y =6x^(1/2) + 3x^(4/2)
y = 6x^(1/2) + 3x^2   Now differentiate that. It should be much easier.

Step Two
Differentiate the y in the last step.
y' = 6(1/2) x^(- 1/2) + 3*2 x^(2 - 1)
y' = 3x^(-1/2) + 6x  I wonder if there's anything else you can do to this. If there is, I don't see it.

I suppose this is possible.
y' = 3/x^(1/2) + 6x

y' = \frac{3 + 6x^{3/2}}{x^{1/2}}

Frankly I like the first answer better, but you have a choice of both.
You might be interested in
The table shows ordered pairs for a polynomial function, f. What is the degree of f?
Kazeer [188]

Answer:

5th degree

Step-by-step explanation:

To solve this problem/table, you have to find the differences in the f(x) side of the table until the differences between the numbers are the same, and then you have your degree. Look at the image attached for more sense

4 0
2 years ago
Given trapezoid KLMN with midsegment EF, where KL = 4 and MN = 7, what is the length of EF?​
TEA [102]

Answer:

EF= 5.5

Step-by-step explanation:

7 + 4 = 11

11 divided by 2 = 5.5

3 0
2 years ago
There is an alien machine which produces seven aliens every two seconds. At this rate how many aliens will produces in one hour?
lyudmila [28]
Well, there are 60 minutes in 1 hour, and there are 60 seconds in 1 minute, so in 60 minutes, there are 60 * 60 seconds, or 3600 seconds in 60 minutes, or 1 hour, therefore, in 1 hour there are 3600 seconds.

the machine makes 7 aliens in 2 seconds, how many will it make in 3600 seconds?

\bf \begin{array}{ccll}
aliens&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
7&2\\
a&3600
\end{array}\implies \cfrac{7}{a}=\cfrac{2}{3600}\implies \cfrac{7\cdot 3600}{2}=a

that many.
3 0
3 years ago
Read 2 more answers
What is p to the power of 3?
Y_Kistochka [10]

Answer:

In mathematics, a power of three is a number of the form 3n where n is an integer, that is, the result of exponentiation with number three as the base and integer n as the exponent.

7 0
3 years ago
Read 2 more answers
The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set. ​ ​ ​ ​Create a histogram
alexdok [17]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required lengths are not given.

I will use the following data set to answer the question.

Dataset: 35, 51, 39, 42, 68, 62, 32, 59

First, is to determine the range of the dataset

Range = Highest - Least

Range = 68 - 32

Range = 36

Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval

Class= Range/10

Class = 36/10

Class = 3.6

Class \approx 4

<em>So, we use 4 classes</em>

Plot the frequency distribution table as follows:

\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}

<em>See attachment for histogram</em>

5 0
2 years ago
Other questions:
  • The area of a trapezium shaped field is 480m^2,the distance between two parallel
    5·1 answer
  • The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.
    10·1 answer
  • " Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below.
    6·2 answers
  • Which of the following statements are true about the function y = 3x?
    5·1 answer
  • Can someone answer this math question
    8·1 answer
  • Which of the following phrases translates to the expression n - 8?
    7·2 answers
  • Use the substituation method to solve 6=-4x+y -5x-y=21
    10·1 answer
  • The line through (0, 2) and (2,6)
    14·1 answer
  • The transfer of heat is responsible for many of the events that occur on Earth. Which of the following events is most directly c
    15·1 answer
  • There are two glass 1 of them with salt solution and one with sugar solution
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!