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Kobotan [32]
3 years ago
6

Let f be an exponential function and g be a logarithmic function.

Mathematics
1 answer:
love history [14]3 years ago
8 0

Good evening ,

______

Answer:

1) (f+g)(1) = e

2) (fg)(1) = 0

3) (3f)(1) = 3e

___________________

Step-by-step explanation:

1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.

2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.

3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.

:)

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vitfil [10]

Answer:

Step-by-step explanation:

a = 20(hypotenuse)

b = 12(leg)

z = ?

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4 0
3 years ago
How many hours would someone earns 7.50 per hour have to work to earn $116.25
SCORPION-xisa [38]

Let h = amount of hours

7.5h=116.25

Since they earn $7.50 per hour, we can multiply that by an unknown amount of hours to get $116.25. Let's solve:

7.5h=116.25

Divide both sides by 7.5 to isolate the h, amount of hours.

\frac{7.5h}{7.5}=\frac{116.25}{7.5}

Simplify.

h=15.5

In conclusion, someone would have to work 15.5 hours to earn $116.25 if they earn $7.50 per hour.

5 0
3 years ago
Differential cos^2x dy/dx =e^y-tanx​
gulaghasi [49]

Answer:

y=t−1+ce

−t

where t=tanx.

Given, cos

2

x

dx

dy

+y=tanx

⇒

dx

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2

x=tanxsec

2

x ....(1)

Here P=sec

2

x⇒∫PdP=∫sec

2

xdx=tanx

∴I.F.=e

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Multiplying (1) by I.F. we get

e

tanx

dx

dy

+e

tanx

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2

x=e

tanx

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x

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ye

tanx

=∫e

tanx

.tanxsec

2

xdx

Put tanx=t⇒sec

2

xdx=dt

∴ye

t

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t

dt=e

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8 0
2 years ago
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Anna11 [10]
The answer is 120\pi. Hope I helped!
3 0
3 years ago
One side of a right triangle has a length of 12 feet. Which of the following could be lengths for the two other sides of the rig
Elodia [21]

Answer:

B

Step-by-step explanation:

Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:

I. 5 feet and 13 feet:  5^2 + 12^2 = 13^2 is TRUE

II.  9 ft and √63 ft:  9^2, 63, 12^2:  63 + 81 do add up to 144  TRUE

III.  2, 10, 12^2:  2 + 10 do NOT add up to 144.  FALSE

Answer B is correct

5 0
3 years ago
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