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3 years ago

Of the following expressions, which is equal to 6(√10)?

Mathematics

1 answer:

Inessa [10]3 years ago

8 0

Answer:

sqrt(360)

Step-by-step explanation:

sqrt(360)=sqrt(36*10)=sqrt(36)*sqrt(10)=6*sqrt(10)

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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

3 years ago

If sin x = .42, what is cos x?

34kurt

From the identity,
sin^2(x)+cos^2(x)=1
then
cos(x)=sqrt(1-sin^2(x))
where sin(x) is given as 0.42.

Note that the above answer applies to 0<x<90 degrees

6 0

3 years ago

I need help with this question The orange and blue lines represent different linear functions. Write the color of the line that

pychu [463]

Answer:

blue

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which table does not represent a function?

Mrrafil [7]

Answer:

Step-by-step explanation:

To be a function every input must have exactly one output. There are two input values with 2, therefore this makes it not a function.

3 0

3 years ago

What is 2 3/5 multiplied by 2 as a mixed number or fraction

Bond [772]

Answer:

5 1/5

Step-by-step explanation:

2 3/5 * 2= 5 1/5

mark brainliest :)

7 0

3 years ago