Can someone help me with this

Find the absolute extrema of the function $f(x)= xe^{- x^2/18}$ on the interval $[-2,4]$.

kenny6666 [7]

Ans : f(x)=xe^(-x^2/8) differentiating by applying product rule, f'(x)=x(e^(-x^2/8))((-2x)/8)+e^(-x^2/8) f'(x)=e^(-x^2/8)(-x^2/4+1) f'(x)=-1/4e^(-x^2/8)(x^2-4) Now to find the absolute extrema of the function , that is continuous on a closed interval, we have to find the critical numbers that are in the interval and evaluate the function at the endpoints and at the critical numbers. Now to find the critical numbers, solve for x for f'(x)=0. -1/4e^(-x^2/8)(x^2-4)=0 x^2-4=0 , x=+-2 e^(-x^2/8)=0 ,

3 0

3 years ago

You save $1 the first day of the month, $2 the second day, $4 the third day, continuing to double your savings each day. w

Marrrta [24]

Day 1= 1
Day 2= 2
Day 3= 4
Day 4= 8
Day 5= 16
Day 6= 32
Day 7= 64
Day 8= 128
Day 9= 256
Day 10= 512
Day 11= 1024
Day 12= 2048
Day 13= 4096 Answer

5 0

4 years ago

Please help!!! I don’t understand

stiv31 [10]

Answer:

y = -2/5x - 6

Step-by-step explanation:

Slope intercept follows the y = mx + b, which m is the slope, and b is the y intercept.

1. Find the slope:

The formula for slope is the change in y/ over the change in x. Or you can say rise/run.

In other words you can take any of those 2 dots, first count them to the other dot, which is -2, then count horizontally, which is 5, so the slope is -2/5

Another way:

Another way is to take any two points, like (-10, -2), and (-5, -4).

Then we can do -4 -(-2)/-5 -(-10), which is -2/5.

So the equation we have so far is y = -2/5x + b

2.Find the y intercept

Based on the graph, the y intercept is -6, so we get

y = -2/5x - 6

5 0

3 years ago

Bro what is $3.95 Markup 20%

Andrews [41]

Answer:

$4.74

Step-by-step explanation:

3.95 x 0.20 = 0.79

3.95 + 0.79 = 4.74

(sorry if i got this wrong)

7 0

3 years ago

Veronica needs to buy 1 3/4 pounds of cheese. When the clerk places some cheese in a container and weighs it, the scale shows 1

BigorU [14]

Answer:

9/16

Step-by-step explanation:

║Given║:

Veronica needs to buy 1 3/4 pounds of cheese.

When the clerk places some cheese in a container and weighs it, the scale shows 1 1/4 pounds.

The container weighs 1/16 pound.

║To Solve║:

How many more pounds of cheese should be added to the scale to get the amount that veronica needs? Explain how you solved the problem

║Solving║:

Since, the amount of cubed cheese that Veronica wants to buy = 1 3/4 pounds then turn it into improper fractions.

Which:

1 3/4 = 7/8 pounds

We also knows that:

Weight of the container in which Mr. Sand places the cube = 1/16 pounds

Weight of the cubed cheese and container together = 1 1/4 pounds

Turn into improper fraction.

Which:

1 1/4 = 5/4 pounds

Thus,

The amount of cubed cheese placed by Mr. Sands = (5/4 - 1/16) pounds

= (20 - 1)/16 pounds

= 19/16 pounds

Hence,

The quantity of more cheese that Mr.Sands need to add to the scale is:

(7/4 - 19/16) pounds

= (28 - 19)/16 pounds

= 9/16 pounds.

Base on the solving above we can conclude that need to add 9/16 pounds of cubed cheese to fullfil the order placed by Veronica.

║ Answer ║

9/16

Kavinsky~

4 0

2 years ago