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jonny [76]
3 years ago
12

F(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x). f'(2) = f''(c) =

Mathematics
1 answer:
prisoha [69]3 years ago
3 0

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

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Answer

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Step-by-step explanation:

90 ml =2 parts

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5 0
3 years ago
Given f(x) = 4x + 3 and f(x) = 27, what is x?
Airida [17]

Step-by-step explanation:

f(x)=4x+3. f(x)=27

so 27=4x+3

27-3 =4x

24=4x

x=24/4

x=6

5 0
3 years ago
Find the slope of each line.<br> 1) y=− x−5<br> 2) y=− x−1
poizon [28]

1) slope = -1

2) slope = -1

5 0
3 years ago
A basketball player makes 80% of her free throws. The random numbers below represent 20 trials for
Taya2010 [7]

Answer:

0.6

Step-by-step explanation:

  • The numbers 0 to 7 represent a made free throw
  • The numbers 8 to 9 represent a missed  free throw.

Given the simulation data

(8,2) (9,3) (4,0) (5,8) (2,7) (2,0) (5,4) (8,0) (0,4) (9.1)

(9,6) (6,5) (4,4) (1,7) (0,4) (8,5) (8,8) (1,7) (3,5) (0,3)

  • A pair that contains only numbers between 0 and 7 shows the player makes both throws.

These pairs are:

(4,0)  (2,7) (2,0) (5,4)  (0,4) (6,5) (4,4) (1,7) (0,4) (1,7) (3,5) (0,3)

There are a total of 12 cases where the player makes both throws.

Therefore:

P(Player makes both throws)=12/20=0.6

8 0
2 years ago
Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.
algol [13]

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

4 0
3 years ago
Read 2 more answers
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