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sergij07 [2.7K]
3 years ago
10

Find the slope of the tangent line to the exponential function at the point (0,1) y=e^x/3

Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0

<span>The slope of a function is simply equal to its first derivative. So let us first take the 1st derivative of the equation:</span>

y = e^(x / 3)

dy / dx = e^(x / 3) (1 / 3)

At x = 0:

dy / dx = slope = e ^(0) (1/3)

<span>slope = 1/3</span>

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luda_lava [24]

Answer:

f(x) is shifted to the left 2 units of g(x)

f(x) will not be shifted vertically since we did not add anything to g(x)

Step-by-step explanation:

g(x) = x^2+2

f(x) = g(x+2)

When we shift  with h(x+c)  it is a horizontal shift

                  if c>0 it moves it left  c units

                  if c< 0 it moves it right c units

Since c is 2, this is shifted left 2 units

f(x) is shifted to the left 2 units of g(x)

When we shift  with h(x)+c  it is a vertical shift

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3 years ago
Which relationship describes angles 1 and 2?
Alexxx [7]
Conplementary angles
4 0
3 years ago
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Camille had a very fun birthday party with lots of friends and family attending. The party lasted for 3 hours. She and her frien
Elena-2011 [213]

Camille spent 22 minutes and 30 seconds opening presents.

Since Camille had a very fun birthday party with lots of friends and family attending, and the party lasted for 3 hours, and she and her friends played games for 3/8 of the time, ate pizza and cake for 50% of the time , and spent the remainder of the time opening presents, to determine the amount of time spent opening presents the following calculation must be performed, posing the following linear equation:

Total time - time spent on other activities = time spent opening presents

  • 3 - (3 x 3/8) - (3 x 0.5) = X
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Therefore, Camille spent 22 minutes and 30 seconds opening presents.

Learn more in brainly.com/question/11897796

7 0
2 years ago
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Alex_Xolod [135]

Answer: they have

et n = number of nickels

Let d = number of dimes

given:

(1) +n+%2B+d+=+45+

(2) +5n+%2B+10d+=+360+

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

Multiply both sides of (1) by 5

and subtract (1) from (2)

(2) +5n+%2B+10d+=+360+

(1) +-5n+-+5d+=+-225+

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and, since

(1) +n+%2B+d+=+45+

(1) +n+%2B+27+=+45+

(1) +n+=+45+-+27+

(1) +n+=+18+

She had 18 nickels and 27 dimes

check:

(2) +5%2A18+%2B+10%2A27+=+360+

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Step-by-step explanation:

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I believe the answer would be C. 4. hope that helped
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