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2 years ago

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

Mathematics

1 answer:

photoshop1234 [79]2 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

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A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown. Which expression represents the

Bezzdna [24]

Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.

The volume of a cone is:

$V = \dfrac{1}{3} \pi r^2 h$

Total volume:

$V_t = \dfrac{1}{3} \times \pi \times 7.5^2 \times 19$

Volume of upper cone:

$V_u = \dfrac{1}{3} \times \pi \times 3.5^2 \times 8$

Volume of frustum:

$V_f = \dfrac{1}{3}\pi(7.5^2)(19) - \dfrac{1}{3}\pi(3.5^2)(8)$

3 0

3 years ago

Read 2 more answers

Find the horizontal asymptote for each function and tell the reason for your answer.

madreJ [45]

Answer:

Thanks for the free points dear

6 0

2 years ago

Howard is designing a chair swing ride. The swing ropes are 55 meters long, and in full swing they tilt in an angle of 29? . How

Allushta [10]

Answer: 50.85 meters

Step-by-step explanation:

cos 29 = $\frac{55}{h}$

55 cos 29 = h

48.10 = h

Pole = h + 2.75

= 48.10 + 2.75

= 50.85

3 0

2 years ago

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In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

8 0

3 years ago

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19h-7=23+14h solve the equation

amid [387]

Answer:

h=6

Step-by-step explanation:

19h-7=23+14h

-7-23=14h-19h

-30=-5h

h=6

5 0

2 years ago