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Ilya [14]
3 years ago
13

Simplify 6 - 4[x + 1 - (y+ 3)] +

Mathematics
1 answer:
Ad libitum [116K]3 years ago
3 0

Answer:

14 - 4x + 9y

Step-by-step explanation:

6-4[x+1-(y+3)]+6y

6-4[x+1-y-3]+6y

6-4[x-2-y]+6y

6-4x+8+4y+6y

14-4x+10y

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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
6. Josh has a $250 gift card to Under Armour.
Komok [63]

Answer:

x=10  (22.5x+6.50=250)

Step-by-step explanation:

6 0
3 years ago
Ms evans paycheck is $850 a week.If she works 49 hours per week, how muxh does she make an hour
Aneli [31]
She would make about 17.35 because $850 divided by 49 is 17.3469388 rounded is 17.35
3 0
3 years ago
Need help finding slope, x-intercept, and y-intercept
butalik [34]

Step-by-step explanation:

count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2

x intercept is on the graph, 2.5

y intercept is also on the graph, -5

8 0
3 years ago
Read 2 more answers
How do you solve 8x-7= 3x 9?
gtnhenbr [62]
8x - 7 = 3x + 9
8x - 3x = 9 + 7
5x = 16
x = 16/5 = 3 1/5
3 0
3 years ago
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