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Murljashka [212]
3 years ago
9

Is the following true or false? d/dx[x^3e^x]=x^2e^x (3x+2)

Mathematics
1 answer:
wolverine [178]3 years ago
3 0
It's false. It's a product so...
Derivative of the first TIMES the second PLUS derivative of second TIMES the first.

Derivative of the first (x^3) = 3x^2
Times the second = 3x^2 * e^x

Derivative of the second = e^x (remains unchanged)
Times the first = e^x * x^3
So the answer would be (3x^2)(e^x) + (e^x)(x^3)
which can be factorised to form x^2·e^x(3 + x)


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Describe and correct the error in writing the value of the product. 2 x 2 x 2 x 2 = 4²
OverLord2011 [107]

Answer:

2⁴

Step-by-step explanation:

4² would be 4x4 not 2x2x2x2

2x2x2x2 would be 2⁴.

6 0
3 years ago
g There are 3 signal transmitters T1,T2 and T3. Each one sends a signal to a receiver R and R sends three signals back to the th
ANEK [815]

Answer:

Recall that probability is given as; the number of required outcome over the number of total possible outcome.

The probability that a transmitter receives the signal being sent by itself is given as \frac{1}{3}.

when there are n transmitters, the probability will be given as \frac{1}{n}

Step-by-step explanation:

Probability simply the likelihood of an event occurring or not occurring.

Probability therefore is given as; the number of required outcome over number of possible outcome.

In the case of the first part above we have the number of required outcome to be at least one divided by the number of possible outcome which is 3.

while in the second part we have the number o possible outcome to be n.

7 0
3 years ago
16 x <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D" id="TexFormula1" title="\frac{1}{8}" alt="\frac{1}{8}" align="absm
Dmitry_Shevchenko [17]
The answer is 2. Because 16/8 is 2.
4 0
3 years ago
Read 2 more answers
[problem 3]
Mazyrski [523]

Looking at the image of the cube you can see the outer edges would have paint on 2 sides and the corners would have paint on n3 sides.

The only ones with paint on one pace is the center cubes.

There are 6 sides to a cube and there would be 6 center pieces.

Answer: 6

4 0
3 years ago
The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gi
german

Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158....... Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

8 0
3 years ago
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