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
Yuki888 [10]
3 years ago
7

Rewrite the expression as an algebraic expression in x. cos(tan−1 x)

Mathematics
1 answer:
zhenek [66]3 years ago
7 0
It's hard to type and hard to read the "inverse tangent" function, as you've seen (above).

So, use "arctan x" instead.

Then the problem becomes:  "differentiate cos (arctan x)."

You must apply first the rule for differentiating the cosine function, and next apply the rule for differentiating the arctan function:

(d/dx) cos (arctan x) = - sin (arctan x) * [1/(1+x^2)]

You might be interested in
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
Mrrafil [7]

Answer:

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 120  

Alternative hypothesis:\mu \neq 120  

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z  

Step-by-step explanation:

Data given and notation  

\bar X=114 represent the sample mean  

\sigma=22 represent the population standard deviation

n=36 sample size  

\mu_o =120 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Part 1

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:  

Null hypothesis:\mu = 120  

Alternative hypothesis:\mu \neq 120  

If we analyze the size for the sample is > 30 and we  know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z  

8 0
3 years ago
How many times does 10 go into 100,000,000,000,000,000?
PilotLPTM [1.2K]
100,000,000. this is how many times 1<span>0 goes into 100,000,000,000,000,000</span>
4 0
3 years ago
Read 2 more answers
Find the point of intersection of each pair of lines using substitution
lyudmila [28]

Answer:

ok ok ok ok ok ok o kom ko ko ko ko ko komk ko ko ko k kokok ok ok ok ok ok ok ok ok o-k ok ok

Step-by-step explanation:

3 0
3 years ago
At a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine t
lianna [129]

Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

3 0
3 years ago
I am so confused right now plz help me
Maksim231197 [3]
You have to remember P.E.M.D.A.S. when doing problems like this.
Drew used PEMDAS so we know he isn't wrong. However, Sam didn't use PEMDAS. She multiplied 2&5 instead of raising 5 to the second. 
The correct answer for Sams' problem would be 30.
Hope this helps! :)
3 0
3 years ago
Other questions:
  • A computer sells for $610. It is now on sale for 1/5 off the original price. Derek has a coupon for an extra 10% off the sale pr
    5·1 answer
  • The table shows the age of the swimmes on Dions swims team. Find the mean age of the swimmers om the team?
    14·1 answer
  • Help please..<br><br> Solve the equation<br> x^2 + 35x = 0
    7·1 answer
  • Given f as described below.
    8·1 answer
  • Find the measure of &lt;JKL =63°​
    13·1 answer
  • How to solve this 4×5-45÷9
    7·2 answers
  • What is the formula for the circumference using the radius below?
    8·1 answer
  • Find the value of K. The diagram is not to scale. Explain your answer.
    5·1 answer
  • A sled is moving down a steep hill in a straight line. At time ts, the
    10·1 answer
  • Please help me with this question
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!