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katrin2010 [14]

3 years ago

5

Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.

1 answer:

nadya68 [22]3 years ago

4 0

Answer:

f'(x) $=2(e^4^x)+(x^2+1)(4e^4^x)$

Step-by-step explanation:

The derivative of the function:

$(x^2+1)e^4^x$

The rule for the product of two functions:

f'(x) $=g'(x)h(x)+g(x)h'(x)$

Therefore

g(x) $=x^2+1$

g'(x) $=2$

f(x) $=e^4^x$

f'(x) $=4e^4^x$

f'(x) $=2(e^4^x)+(x^2+1)(4e^4^x)$

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Can u guys PLEASE ANSWER THIS QUESTION ASAP URGENTLY

makvit [3.9K]

Answer:

x^2-4x+3

Step-by-step explanation:

Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:

(x-1)(x-3)

=x^2-4x+3

We can further check that this is the right answer by evaluating it at the vertex:

(2)^2-4*2+3=-1

Since that corresponds to the graph, the answer is x^2-4x+3

3 0

3 years ago

Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

1. Determine the approximate measure of angle E.

Naddik [55]

Answer:

1. 81.0

2. I`m trying to figure that out now I will give answers when I can

Step-by-step explanation:

7 0

3 years ago

A local store sells oranges at a price of $9 for 6 oranges. Alison wants to send 24 oranges to her aunt. How much will Alison sp

kodGreya [7K]

Answer $22.50

Step-by-step explanation:

$9 X 2 = 18 and 6 oranges + 6 oranges = 12

if you divide 9 by 6 you get 1.5 so that means its 1.50 for each orange individually.

which makes 15 oranged 22.50

5 0

3 years ago

Read 2 more answers

an author can write an amazing 2 pages of a story in 15 minutes. How many pages can an author write in 120 minutes

MariettaO [177]

Answer:

I think the answer is 16

Step-by-step explanation:

Because

2 divided by 15 is 7.5

so 120 divided 7.5 is 16 pages

I hope you get it right !

Good Luck!

7 0

3 years ago