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2 years ago

If f(y) = 8 + e-9y, find f'(y). Use exact values.

Mathematics

1 answer:

mestny [16]2 years ago

3 0

Answer:

$f'(y) = -9e^{-9y}$

Step-by-step explanation:

The given function is :

$f(y) = 8 + e^{-9y}$

We need to find the value of f'(y).

$f'(y)=\dfrac{d}{dy}[8+e^{-9y}]$

$=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}$

So, the value of f'(y) is equal to $-9e^{-9y}$ .

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Melanie swarm for 142 minutes during her first week of vacation. In her two weeks of vacation she swam for a total of 347 minute

Soloha48 [4]

Answer: Melanie swam 63 minutes more in second week.

Step-by-step explanation:

Given , Time taken by Melanie in first week to swim = 142 minutes

Combined time taken by her in first two weeks in swimming = 347 minutes

Now , time taken by her in second week = (Combined time of first two week) - (Time taken in first week)

= 347-142 minutes

= 205 minutes

Clearly , 205 > 142 i.e. She swam more in second week than first week./

Difference i= 205-142 = 63

Therefore, Melanie swam 63 minutes more in second week.

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3 years ago

What is the surface area of a cube that measures 5 inches on each side?

Kryger [21]

Answer:

150 in²

Step-by-step explanation:

5 x 5 x 6 = 150

surface area of cube is 6 times (6 congruent faces) of one face. 5 x 5 = 25

25 x 6 = 150

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3 years ago

Which measures would be the side lengths of a right triangle?

pav-90 [236]

Answer:

Answer choice B.

Step-by-step explanation:

Remember the 3:4:5 rule.

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2 years ago

here’s a graph of the equation x + 3y = 6 select all coordinates pairs that represent a solution to the equation A) 0,2 B) 0,6 C

Afina-wow [57]

Answer:

(0,2) (3,1)

Step-by-step explanation:

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2 years ago

Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr

Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let $M(a) = 40.8-1.1\cdot a$ , where $a$ is the age of the dairy cow, measured in years, and $M(a)$ is the predicted milk production, measured in gallons per week.

Besides, we consider $a_{1}$ and $a_{2}$ , such that $a_{1}\ne a_{2}$ , we define the difference between predicted milk productions ( $\Delta M$ ) below: