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3 years ago

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

1 answer:

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

Write an equation in point slope form for the line with a slope of 3 passes through (1,2)

alexgriva [62]

Answer:

$y-2=3(x-1)$

Step-by-step explanation:

The point-slope form of a line is given as:

$y-y_1=m(x-x_1)$

Where

m is the slope

$x_1$ is the x-coordinate of the point given (passing through the line)

$y_1$ is the y-coordinate of the point given (passing through the line)

Now,

Given,

Slope = m = 3

$x_1$ = 1

$y_1$ = 2

Now, we simply plug these into the formula for point-slope form of a line:

$y-y_1=m(x-x_1)\\y-2=3(x-1)$

This is the point-slope form.

4 0

3 years ago

1\100 of 3756 in dollars

maksim [4K]

Answer: 37.56

What the fraction 1/100 is saying is it is dividing them 3756 by a 100.

3756/100= 37.56

3 0

3 years ago

IS 10×1000 a multiplication fact?

Tanya [424]

Yes if u can multiply 10 by 1000 then it is a multiplication fact

4 0

3 years ago

Read 2 more answers

In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network sites. Six of 10

aleksklad [387]

Answer:

b. There is a 95% chance that the true proportion of teenagers who use Mybook as their primary social network site is in the interval (0.2964, 0.9036).

Step-by-step explanation:

Hello!

In general, a 95% confidence interval for the population proportion can be interpreted as: There is a 95% chance (or confidence) that the interval will contain the true value of the proportion.

(Remember the confidence level of 95% means that if you were to make 100 intervals for the population proportion, 95 of them will contain its true value)

The estimated parameter is the population proportion of teenagers that use Mybook as their primary social network site.

With this in mind then you can say that there is a 95% probability that the interval (0.2964, 0.9036) will contain the true value of the proportion of teenagers that use Mybook as their primary social network site.

The correct answer is: b

I hope this helps!

8 0

3 years ago

What’s the area of 4cm 2cm 4cm Rcm 11 cm 2 cm

bazaltina [42]

Answer:

If the area of a square = 4cm^2

then the side length of = √4 = 2 cm

3 0

3 years ago