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
Zigmanuir [339]
2 years ago
14

What is the value of d/dx (6/x^4 + 1/x^2) at x = -1 ?

Mathematics
1 answer:
zheka24 [161]2 years ago
7 0

Answer:

\frac{d}{dx}\left(\frac{1+x^4+x^6}{x^2+x+1}\right)=\frac{4x^7+5x^6+8x^5+3x^4+4x^3-2x-1}{\left(x^2+x+1\right)^2}

Step-by-step explanation:

You might be interested in
Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To
Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b.  90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a.  The table below shows the calculations:

                 X                (X-mean)^2

                1.7             0.0225

                1.8                 0.0025

                1.9                 0.0025

                2.0                 0.0225

Total        7.4                  0.05

Sample size: n=4

The mean is:  \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is  \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0
3 years ago
rachel bought one double pack of CDs for $20. this is $4 less than 3/4 the cost of a triple pack of CDs. what is the price of a
Sophie [7]
The price of a triple pack of Cds is $30. 
6 0
3 years ago
Jennifer Lopez shbsbsbsbvevshsbbsbshhshshsbsbvsbsbsnnsjsjsjsjgdbshs
Wittaler [7]
The answer is Alex Rodriguez
shbsshbsshbsshbsshbsshbshbs
5 0
3 years ago
16
Tanya [424]

Answer:

2.50

Step-by-step explanation:

Given

(x_1,y_1) = (-1,0.8)

(x_2,y_2) = (0,2)

(x_3,y_3) = (1,5)

(x_4,y_4) = (2,12.5)

Required

The rate of change (b)

The above graph is represented as:

y = ab^x

For: (x_2,y_2) = (0,2);

We have:

y = ab^x

2 = a * b^0

2 = a *1

2 = a

a = 2

For (x_3,y_3) = (1,5),

We have:

y = ab^x

5 = a * b^1

5 = a * b

Substitute a = 2

5 = 2 * b

Divide by 2

2.5 = b

b = 2.5

<em>Hence, the rate of change is 2.50</em>

7 0
3 years ago
1FAIpQLSctQPK2905fceiF4m_p9ctVDJ4QQ1KTIEtxPJTyDGnuvL1Srg/viewform?hr_submission=Chglj6Ka43ISEA
Maslowich

Answer:

cdFGafadjgfsgdfzgFdSANJGHFHGFZSDFERQYWS6546QStep-by-step explanation:

3 0
3 years ago
Other questions:
  • How do you reduce the number 6 33/16
    10·2 answers
  • Helppppppppppppppmplease
    15·1 answer
  • Scientists are monitoring a whale's weight by observing its weight change once a week, over a 4 week period. How much has the wh
    10·2 answers
  • The graph of 15x + 7y = 15 is shown on the grid. Which ordered pair is in the solution set of 15x + 7y ≥ 15?
    14·1 answer
  • what is the height of a rectangular prism that has a volume of 280 cubic meters , a length of 8 meters, and width of 7 meters?
    7·1 answer
  • Help help help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    12·2 answers
  • over a 4 week period the price of gasoline increased by 32 cents. if the price changed the same amount each week, what is the av
    13·1 answer
  • Write a equation in slope intersect form for points (0,8) and (9,5)
    5·1 answer
  • Write an equation in slope-intercept form for the line that passes through (–1, –2) and (3, 4)
    7·2 answers
  • 7. A car that was originally worth $29,500 depreciates at a rate of $2,500 per year. Find the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!