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4 years ago

Describe the following sequence as arithmetic, geometric or neither. 2, 4, 6, 12, 14. . . .

1 answer:

7 0

Arythmetic increase by constan amount
geometric increases by multiply by common amount

2+2=4
4+2=6
6+2=8, not 12

geo
2*2=4
4*2=8, not 6

neither

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

prisoha [69]

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

3 0

4 years ago

A herd of 1,500 steer was fed a special high‐protein grain for a month. A random sample of 29 were weighed and had gained an ave

Marianna [84]

By formula we know that:

z (x) = (x - m) / [sd / sqrt (n)]

where x is the value we want to know (6.7), m is the mean (5), sd is the standard deviation (7.1) and n is the sample size (29).

Replacing we have:

z (6.7) = (6.7 - 5) / [7.1 / sqrt (29)]

z = 1.289

If we look in the normal distribution table (attached), we have that the probability is 0.8997, therefore:

1 - 0.8897 = 0.1003

So the conditional probability of a herd sample earning at least 6.7 pounds per steer is 10.03%.

Now the hypothesis tells me:

m> 5

The probability is somewhat low, therefore, the most correct thing is to reject the hypothesis even though it is a fact that can occur.

4 0

3 years ago

What is 80 0.8 and 80% as unreduced fractions

12345 [234]

Its 80 over one hundred because it over 50 so you go to one hundred so the answer is 80 over one hunderd

6 0

3 years ago

Vertical angles must : check all that apply

trapecia [35]

Answer: B and C

Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.

3 0

2 years ago

Read 2 more answers

A ball is thrown vertically upward. After seconds, its height (in feet) is given by the function 56t - 16t^2 . What is the maxim

mr Goodwill [35]

Answer:

Therefore the maximum height that the reach is 49 feet after 1.75 seconds.

Step-by-step explanation:

Given that,

A ball is thrown vertically upward. After t seconds its height is given by the function

$h=56t-16 t^2$

where h is height in feet.

Maximum value:

Given function f(x)= at²+bt+c.

Find the value $-\frac{b}{2a}$
Putting $x= -\frac{b}{2a}$ in the given function.
The maximum value of the given function is $f(-\frac{b}{2a})$ .

Here a= -16 , b=56 and c=0

The ball attains its maximum height when $t=-\frac{56}{2.(-16)}=1.75$ s.

Putting the value of t in the given function

$h=(56\times 1.75)-16(1.75)^2$

=49 feet

Therefore the maximum height that the reach is 49 feet after 1.75 seconds.

6 0

3 years ago