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Serga [27]
3 years ago
8

Not sure how to do #69, it's a calc 1 question

Mathematics
1 answer:
Gnoma [55]3 years ago
3 0
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.

But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;

f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
You might be interested in
AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?
dybincka [34]
Option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8

8 0
3 years ago
Pleaseee help, Solve for x and y :3
irina1246 [14]

Answer:

x = \sqrt{6} , y = 2\sqrt{3}

Step-by-step explanation:

using the tangent ratio and the exact value tan45° = 1 , then

tan45° = \frac{opposite}{adjacent} = \frac{x}{\sqrt{6} } = 1 , then

x = \sqrt{6}

----------------------------------

using the cosine ratio in the right triangle and the exact value

cos45° = \frac{1}{\sqrt{2} } , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{\sqrt{6} }{y} = \frac{1}{\sqrt{2} } ( cross- multiply )

y = \sqrt{6} × \sqrt{2} = \sqrt{12} = 2\sqrt{3}

6 0
2 years ago
distribution has a mean if 18 standard deviation of 4 a value of 24 is how many standard deviations away from the mean
liraira [26]

A  value of 24 is 2.5 standard deviations away from the mean

<h3>'How to determine the number of standard deviations away from the mean?</h3>

The given parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

Let the number of standard deviations away from the mean be x.

The value of x is calculated using

Mean + Standard deviation * x = Value

Substitute the known values in the above equation

18 + 4 * x = 24

Subtract 18 from both sides of the equation

4 * x = 6

Divide both sides of the equation by 4

x = 1.5

Hence, a value of 24 is 2.5 standard deviations away from the mean

So, the complete parameters about the distribution are:

Mean = 18

Standard deviation = 4

Value = 24

24 is 2.5 standard deviations away from the mean

Read more about mean and standard deviation at:

brainly.com/question/14650840

#SPJ1

4 0
1 year ago
URGENT 8th grade math
goldenfox [79]

Answer:

inequality is n< with the line under 12 or n= , with the line under it 12

Step-by-step explanation:

4 0
3 years ago
Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 4/3
Drupady [299]

Answer:

Line B

Give Brainliest plz

8 0
3 years ago
Read 2 more answers
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