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Eddi Din [679]
2 years ago
13

30pts! Brainliest! Calculus 2!

Mathematics
1 answer:
masha68 [24]2 years ago
4 0
Substitute 1/x with u
dx = -x^2 du
-1/4 integral of e^u•du
Apply exponential rule -(e^u)/4
Undo the substitution u is 1/x
Answer is (-(e^1/x)/4 ) + C
You might be interested in
An airplane can ascend at a rate of 52 1/2 meters in 1/3 of a second. How many meters can the airplane ascend in one second?
IgorLugansk [536]

Answer:

157 and 1/5 meters

Step-by-step explanation:

52 and 1/2 meters times 3 is equal to 157 and 1/2

3 0
3 years ago
The base area of an oblique pentagonal prism is 15 sq. in. The prism measures 3 inches in height and the edges connecting the ba
Fantom [35]

Answer:

Option A & D are correct Option.

Step-by-step explanation:

We are given with following :

Area of Base = 15 in.²

Height of Prism = 3 in.

Length of edge of base = 5 in.

Volume of Prism = Area of Base × Height = 15 × 3 = 45 in.³

Therefore, Option A & D are correct Option.

3 0
2 years ago
Taylor is 15 years younger than Marty. Twice Marty’s age added to three times Taylors age totals 205. What are the ages of Taylo
Inessa05 [86]

Answer:

Taylor's age = x = 35 years

Marty's age = y = 50 years

Step-by-step explanation:

Let

Taylor's age = x

Marty's age = y

Taylor is 15 years younger than Marty.

x = y - 15

Twice Marty’s age added to three times Taylors age totals 205.

205 = 2y + 3x...... Equation 1

Therefore, we substitute y - 15 for x in

205 = 2y + 3x...... Equation 1

205 = 2y + 3(y - 15)

205 = 2y + 3y - 45

Collect like terms

205 + 45 = 5y

250 = 5y

y = 250/5

y = 50 years

x = y - 15

x = 50 - 15

x = 35 years

Solving for x

Therefore:

Taylor's age = x = 35 years

Marty's age = y = 50 years

6 0
3 years ago
the vertex of a quadratic function is (6,2) and the y-intercept of the function is (0,-70). the equation of the function in vert
VladimirAG [237]
Well, just solve the equation

-70 = a(0-6)^2+2
-70 = a(-6)^2+2
-70 - 2 = 36a
a = -72/36 = -2
5 0
3 years ago
Read 2 more answers
Express 1.234 as a fraction​
AURORKA [14]

Answer:

To write 1.234 as a fraction you have to write 1.234 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.234 = 1.234/1 = 12.34/10 = 123.4/100 = 1234/1000

And finally we have:

1.234 as a fraction equals 1234/1000

Step-by-step explanation:

Hope this helps.:)

5 0
2 years ago
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