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Paha777 [63]
3 years ago
9

Find the derivative of f(x) = (1 + 6x2)(x − x2) in two ways.

Mathematics
1 answer:
ipn [44]3 years ago
3 0
Using product rule;

f(x)=(1+6x²)(x-x²)

f'(x)=(12x)(x-x²) + (1-2x)(1+6x²) = 12x² -12x³ +1 +6x² -2x -12x³ = -24x³ +18x² -2x +1

Solving the bracket first;

f(x)=(1+6x²)(x-x²) = x -x² +6x³ -6x^4

f'(x)= 1 -2x +18x² -24x³ = -24x³ +18x² -2x +1

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You flip a coin, and then roll a number cube twice. Find the probability of the event.
uysha [10]

No. It doesn’t, the square root is different than the approximate length.

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3 years ago
A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.If a single marble is pulled out of the bag,
faust18 [17]

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4 different outcomes based on color or 10 based on amount.

Step-by-step explanation:

I don't think it is specific enough for a definite answer.

5 0
3 years ago
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Please help me answer <br> 70 is 160% of what?
Lina20 [59]
You are basically asking 160% of X = 70. 
1) 70 x 100 = 7000 (to turn the 70 into a %)
2) 7000 /160 = 43.75

You can reverse the equation to double check the answer. 
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6 0
3 years ago
Read 2 more answers
Select the correct answer
lora16 [44]

Answer:

Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}

Step-by-step explanation:

The question is:

Which data set has the greatest spread for the middle 50% of its data

We have given the data sets:

{18,13,22, 17, 21, 24}

{17,19,22,26,17,14}

{13,17,12,21, 18,20}

{18,21,16,22,24,15}

To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.

So,

For the first set: 22-17 = 5

For the second: 22-17 = 5

For the third set = 20-13 = 7

For the fourth set = 22-16 = 6

Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}  ....

8 0
2 years ago
Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 46 to 89.8
Degger [83]

Answer:

78%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

% increase= 35.8/46 *100= 77.82=78 %

3 0
3 years ago
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