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pochemuha
3 years ago
8

What is the antiderivative of 4/e^4x?

Mathematics
1 answer:
Andrews [41]3 years ago
7 0
\displaystyle
F=\int \dfrac{4}{e^{4x}}\, dx\\
F=4 \int e^{-4x}\, dx\\
F=4 \cdot\left(-\dfrac{1}{4}e^{-4x}\right)+C\\
F=-e^{-4x}+C
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Simplify (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16​
Masteriza [31]

Answer:

x^3 +8x^2 +13

Step-by-step explanation:

(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16​)

Distribute the minus sign

6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16​

Combine like terms

x^3 +8x^2 +13

8 0
3 years ago
How many pennies could you have if: When you Break de Pennies into groups of 2, you have 1 penny left over, AND when you break t
MariettaO [177]

Answer:

The answer is 31 pennies

Step-by-step explanation:

we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.

The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:

1) factor: 5 (+1) = 6

6 ÷ 2 = 3 remainder 0

6 ÷ 3 = 2 remainder 0

since there is a remainder of 0, when divided by 3, 6 is wrong

2) factor; 10 (+1) = 11

11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer

3) factor : 15 (+1) = 16

16 ÷ 2 = 8 remainder 0 ( 16 is  not the correct answer

4) factor : 20(+1) = 21

21 ÷ 3 = 7 remainder 0 ( 21 is wrong)

5) factor : 25(+1) = 26

26 ÷ 2 = 13 remainder 0 ( 26 is wrong)

6) factor : 30(+1) = 31

31 ÷ 2 = 15 Remainder 1

31 ÷ 3 = 10 Remainder 1

31 ÷ 5 = 6 Remainder 1

since all three divisors give a remainder of 1, the correct answer is 31

Therefore you have 31 pwnnies

6 0
3 years ago
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con
maria [59]

First:

F=m.a

=4*7

=28N

Second:

F=m.a

28=m.2. (force is constant,so F=28N)

28/2=m

m=14kg.

5 0
3 years ago
Read 2 more answers
Dew help me please come on
adell [148]

Answer:

75c-180

420 for 8 customers

Step-by-step explanation:

Her tools cost her 180

-180

she makes 75 per customer

75c

She will make

75c-180

She gets 8 customers

75(8)-180

600-180

420

7 0
4 years ago
PLEASE HELP ASAP
muminat
Last month, she had 100.....this month, 30 new members joined and 10 cancelled....thats basically the same as saying 20 new members joined...so there are now 120 members...at 10 per subscription = 120(10) = $ 1200 <=
7 0
4 years ago
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