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Mashutka [201]
3 years ago
7

Please show your work this question what made you come to the conclusion. Thank you

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

B the range, the x- and y-intercept

Step-by-step explanation:

the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).

but the range changes, as for the original function y could only have positive values - even for negative x.

the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.

the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.

the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.

the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.

the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)

3 {b}^{x + 1}  = 2

{b}^{x + 1}  = 2 \div 3

log_{b}(2 \div 3)  = x + 1

x =  log_{b}(2 \div 3)  - 1

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The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i
kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

S=\pi r\sqrt{r^2+h^2}

and volume,

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

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

f(r,h)=\frac{1}{3}\pi r^2 h

subject to,

g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)

We know for maximum volume r\neq 0. So let \lambda be the Lagranges multipliers be such that,

f_r=\lambda g_r

\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})

\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)

And,

f_h=\lambda g_h

\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}

\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)

Substitute (3) in (2) we get,

\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})

\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)

\implies h^2=2r^2

Substitute this value in (1) we get,

\pi r\sqrt{h^2+r^2}=8

\implies \pi r \sqrt{2r^2+r^2}=8

\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252

Then,

h=\sqrt{2}(1.21252)\equiv 1.71476

Hence largest volume,

V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114

3 0
3 years ago
HELP<br><br><br><br><br> QUICK<br><br><br><br><br> LOL THANKS !!!
Anon25 [30]

Answer:

0.6

Step-by-step explanation:

The x increases by 5, while y increases by 3

Lets use the method, which is \frac{rise}{run}.

Keep in mind that x goes horizontally along the axis, while y goes vertically on the axis.

So plug the numbers in.

\frac{3}{5} = 0.6

Hence, the constant proportionality is 0.6.

8 0
3 years ago
Read 2 more answers
Least to greatest !?
Bad White [126]
The lengths are \frac{5}{6} \frac{5}{12} and \frac{1}{3}
finding the LCM we get
\frac{10,5,4}{12}
arranging them 
 \frac{1}{3} \frac{5}{12} and \frac{5}{6}
6 0
3 years ago
Need answers for 3. A &amp; B and 4
Ivan
I think to N because it make more sense in the number line
6 0
3 years ago
Read 2 more answers
Umber<br> 8. What is the value of the expression -<br> -g-(-5)<br> =-9 -<br> 5<br> 5
pantera1 [17]

First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying

6

by the appropriate for of

1

:

2

3

(

6

−

5

6

)

⇒

2

3

(

[

6

6

×

6

]

−

5

6

)

⇒

2

3

(

36

6

−

5

6

)

⇒

2

3

(

31

6

)

Next, we can multiply the two fractions to complete the evaluation of the expression:

2

3

(

31

6

)

⇒

2

3

×

31

6

⇒

2

×

31

3

×

6

⇒

62

18

Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:

2

×

31

2

×

9

⇒

2

×

31

2

×

9

⇒

31

9

Hope this helps

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I am really trying my best to get upgraded.  My other accont is acting up and I lost what I was trying to do to get upgraded again, so please give me Brainliest

7 0
3 years ago
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