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Paraphin [41]
3 years ago
11

What is the exponent of 10? (Thank you for helping!)

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

exponent is 0

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
3 years ago
What are the period and amplitude of the function?
umka2103 [35]

Answer:

The period of function is 5 and amplitude is 3.

Step-by-step explanation:

<em>The period of the function is the time interval after which it repeats itself.</em>

It means the time interval after which the same value of graph is attained.

In the above case looking at the peak point at time 5 seconds, the same value is obtained at time 10 seconds.

Thus the time interval is (10 - 5) 5 seconds.

<em>Amplitude is the maximum value attained by the graph in the complete interval.</em>

In the above case, the maximum value attained is 3.

8 0
3 years ago
152. divided by 190.
Katena32 [7]
The answer will be 4/5
8 0
3 years ago
Rewrite the following equation in slope-intercept form. 6x - 3y = 19​
tensa zangetsu [6.8K]

Answer:

y= 2x - 19/3

Step-by-step explanation:

6x-3y=19

3y=6x-19

y=2x- 19/3

slope: 2

y-intercept: -19/3

7 0
3 years ago
Kristin decides to spend at most $50 for a birthday dinner at a restaurant, including a 15% tip.,
Dmitry [639]
0.15x + x <(or equal to) 50
Where x is the meal's cost (no tip included)

50 - 15% = 42.5.
x >(or equal to) 42.50.

(nothing is copied content, I copy pasted a number into the right position, feel free to check it mods)
7 0
4 years ago
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