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const2013 [10]
3 years ago
6

What is the answer for this question

Mathematics
1 answer:
finlep [7]3 years ago
6 0

Answer:

1/2 and 7/8

Step-by-step explanation:

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100 POINTS <br> Evaluate the derivative of the function number 38
patriot [66]

Answer:

 1/ sqrt(1+ln^2(x))    * 1/(ln^2x +1) * 1/x

Step-by-step explanation:

f(x) = sin (tan^-1 (ln(x)))  

u substitution

       d/du (sin u)  * du /dx

            cos (u) * du/dx

Let u =(tan^-1 (ln(x)))     du/dx =d/dx  (tan^-1 (ln(x)))

v substitution

                                             Let v = ln x                dv/dx = 1/x

                                              d/dv  (tan ^-1 v)  dv/dx

                                                          1/( v^2+1) * dv/dx

                                                        =1/(ln^2x +1) * 1/x

Substituting this back in for  du/dx

cos (tan^-1 (ln(x))  * 1/(ln^2x +1) * 1/x

We know that cos (tan^-1 (a)) = 1/ sqrt(1+a^2)

cos (tan^-1 (ln(x))  * 1/(ln^2x +1) * 1/x

 1/ sqrt(1+ln^2(x))     * 1/(ln^2x +1) * 1/x

                                           

8 0
3 years ago
Read 2 more answers
there are $3.90 worth of nickles and quarters in a piggy bank. there are 6 more quarters than nickels. how many coins are in the
Murrr4er [49]

Answer:

8 nickels and 14 quarters

Step-by-step explanation:

4 0
3 years ago
Which graph represents exponential decay?
xz_007 [3.2K]

Answer:

  (d) -- see attached

Step-by-step explanation:

A graph that shows exponential decay is one that tends toward a horizontal asymptote as x gets large.

__

A basic (parent) exponential decay curve is concave upward and tends toward zero as x gets large. The fractional change in any interval is the same as for any other interval of equal size. The curve attached decreases by a factor of 2 when x increases by 1.

6 0
2 years ago
Please help ASAP picture below
Ostrovityanka [42]

Answer:

Picture is blurr. kindly upload clear pic

7 0
3 years ago
Read 2 more answers
The first term of an arithmetic sequence is 7 and the sixth term is 22. Find(a)the common difference;(2)(b)the twelfth term;(2)(
SVEN [57.7K]

d = 3 , a₁₂ = 40 and Sx_{100} = 7775

In an arithmetic sequence the nth term and sum to n terms are

<h3>• an = a₁ + (n-1)d</h3><h3>• S_n = \frac{n}{2}[2a + (n-1)d]</h3><h3>where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ = \frac{50}{2}[(2×7) +(99×3)</h3><h3>       = 25(14 + 297) = 25(311)= 7775</h3>
7 0
3 years ago
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