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andriy [413]
2 years ago
15

Please help Ill give brainy pleas help please -

Mathematics
1 answer:
mars1129 [50]2 years ago
4 0
The answer to this is a=3
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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
ALGEBRA ONE!!!!!1 34 POINTS I WILLLLL GIVE TOOOO YOUUUUU!!
Marina86 [1]

Answer:

±sqrt(T*L/m)=v

Step-by-step explanation:

T=mv^2/L

We want to solve the equation for v

Multiply each side by L

T*L=mv^2/L *L

T*L=mv^2

Divide each side by m

TL/m=mv^2/m

T*L/m=v^2

Take the square root of each side

±sqrt(T*L/m)=sqrt(v^2)

±sqrt(T*L/m)=v

7 0
3 years ago
Read 2 more answers
11) At a certain company, an HR benefits meeting and shareholders meeting happen at the same time, so it is impossible for an em
Airida [17]

Answer:

0.99

Step-by-step explanation:

The computation of the probability for employee goes for shareholder meeting or HR benefits meeting is

= Probability of HR benefits meeting + Probability of shareholder meeting

= 0.33 + 0.66

= 0.99

We simply added the both meeting probability i.e HR benefits and shareholder meeting so that the given probability could come

4 0
3 years ago
Evaluate-2+7x^2-2x^3-8x+7x^4 at x=5
Murljashka [212]

Answer:

4262

Step-by-step explanation:

2 + 7x^2- 2x^3-8x +7x^4     at x = 5

= 2 + 7*(5)^2 - 2*(5)^3-8*5 +7*(5)^4

=2+175-250-40+4375

=4552-290

=4262

4 0
3 years ago
25, 8, 10, 35, 5, 45, 40, 30, 20
Lera25 [3.4K]
B.) 37.5.. First you place all the numbers in order from least to greatest. Your mean is 25...and ur upper quartile because the 4 #'s fall even u add 35 and 40 and divide by 2... Which gives u upper quartile of 37.5 and lower quartile of 9. Hope this helps :)
4 0
3 years ago
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