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Debora [2.8K]
3 years ago
6

Differentiate f and find the domain of f. f(x) = x/[1-ln(x-1)]

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0
F(x) = [2x - 1 - (x-1) in (x - 1)] / [ 1 - in(x-1)]^2

domain of f =  (1,  1+e)  U (1 + e, infinty)

hope this helps
You might be interested in
Calculate simple interest :
Elodia [21]

Answer:

the simple interest in both cases is 200 and 756 respectively

Step-by-step explanation:

The computation of the simple interest is shown below:

As we know that

Simple interest = P × r% × t

So

a. Simple interest is

= 2,500 × 8% × 1

= 200

b. The simple interest is

= 4,200 × 6% × 3

= 756

Hence, the simple interest in both cases is 200 and 756 respectively

5 0
3 years ago
Of 1800 students enrolled in school 55% are girls. of the girls attending this school 30% take the bus to school
leonid [27]
55% of 1800 = 0.55(1800) = 990...so there are 990 girls in the school

30% of 990 = 0.30(990) = 297...so there are 297 girls who take the bus
7 0
3 years ago
Can someone please answer. There is one problem. There's s picture. Thank you!
Pepsi [2]
The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get 180-(57+90)=33\textdegree.

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

\frac{\sin(A)}{a} =  \frac{\sin(B)}{b}

For this problem, we'll let the height of the hot air balloon be a=15 and its respective opposite angle be A=33\textdegree, and let the missing x-distance be b, with its respective opposite angle B=57\textdegree. Note, we're solving for b.

\frac{\sin(33)}{15} =  \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
8 0
3 years ago
A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
34kurt

Answer:

16 inches

Step-by-step explanation:

<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>

<u>Given</u>

  • Diameter of the wheel = 16 in

<u>Full circumference of the wheel </u>

  • C =πd = 16π

<u>Bike moves </u>

  • 56π

<u>The wheel turns:</u>

  • 56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0
3 years ago
There are (4^9)5 ⋅ 4^0 books at the library. What is the total number of books at the library?
LenKa [72]
Your answer is B. You multiply 5 by the exponents and 4^0 is just 1, so 4^45•1=4^45. Hope this helped!
7 0
3 years ago
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