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ladessa [460]
3 years ago
6

The water level is a number that indicates whether the level is above or below normal using positive or negative values.

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

-3.85 feet

Step-by-step explanation:

-2.8 feet + 1/2(2.1) = 1.05 as the stream is more than previous then we must subtract to find previous = -2.8 - 1.05 = -3.85 feet

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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t
Neporo4naja [7]

Answer:

V=61.66

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

f(x)=g(x)\\ln(x)=\frac{1}{2}x-2

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\

and by replacing in the integral we have

V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\

V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]  

and by evaluating in the limits we have

V=61.66

Hope this helps

regards

3 0
3 years ago
Group of answer choices<br><br> Phone A<br><br> Phone B<br><br> Phone C<br><br> Phone D
Otrada [13]

Answer:

Phone B

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can anyone help me ASAP!
igomit [66]

Answer:

7.8

Step-by-step explanation:

the answer is

\sqrt{61}

3 0
3 years ago
What is the variable and the operation in the algebraic expression math 6/x .
Stella [2.4K]

Answer:

x is the variable

Step-by-step explanation:

6 0
3 years ago
A bicycle wheel has a radius of 13 inches. What is the distance the bicycle will travel after 30 revolutions of the wheel? Use 3
SpyIntel [72]
Radius = 13 inches

Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches

1 revolution = 81.64 inches
30 revolutions = 2449.2inches
7 0
3 years ago
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