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2 years ago

(6x3)2 = 62(x3)2 = 36x6 True or false

Mathematics

1 answer:

Xelga [282]2 years ago

5 0

Answer:

false

Step-by-step explanation:

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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

$g(x) =e^{x^3}$

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

2 years ago

Sarah can eat 45 blueberries in 2 minutes. If she eats blueberries for 45 minutes straight, how many did she eat?

BARSIC [14]

Answer:

1012

Step-by-step explanation:

She eats 1012 because:

If she eats 45 in 2 minutes then she eats 22.5 in 1 minute.

This is because 45 ÷ 2 = 22.5

Sarah eats blueberries for 45 minutes so we multiply 22.5 by 45

22.5 × 45 = 1012.5

She ate 1012 full berries.

3 0

2 years ago

Convert 2/50 to percent

vodomira [7]

Answer: 4%

Step-by-step explanation: 50 x 2 = 100

2x2=4 4/100 or 4%

8 0

3 years ago

Read 2 more answers

The prism is completely filled with 1750 cubes that have edge length of 15 ft.

vladimir1956 [14]

It is 14 i got it on my test

5 0

3 years ago

Read 2 more answers

The ratio of 3 km to 1800 m is

Ugo [173]

5 : 3

D1 = 3km = 3000 m (1km = 1000m)
D2 = 1800m

Ratio of D1:D2
=3000/1800
=1000/600 (dividing by 3)
=10/6 (dividing by 100)
=5/3 (dividing by 2)

= 5 : 3

6 0

2 years ago