The zeros of a quartic polynomial function are 2, -2, 4, and -4. Use the zeros to construct a possible sketch of the function on the set of axes

We are given the function to differentiate:

[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]

Do take natural log on both sides, then we will be having

[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]

[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]

Now, differentiate both sides by using so called chain rule and the product rule

[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]

Hence, Option B) is correct

Product rule of differentiation:

Where, u and v are functions of x

Answer:

the mean is 12.83333333333 ans so many more 3's

the median is 14 because the two middle numbers are 13+15=28 and divided by 2 is 14

Step-by-step explanation:

if it is right, please can i have the brainliest

Answer:

Kim 52.5 miles, Darren 45 miles

Step-by-step explanation:

Kim drove 35 mph:

    35 mph x 1.5 hours = 52.5 miles

Darren drove 30 mph:

    30 mph x 1.5 hours = 45 miles

Answer:

1

Step-by-step explanation:

im know it ive dine the problem 10 times

Answer:

ok i ned time

Step-by-step explanation:

Answer:

1/81

Step-by-step explanation:

9 to the power of 7 is 4782969

and 9 to the power of 9 it 387420489

and when u divide it u get 1/81 I beleve

Answer:

1/81 or 0.01 that is rounded to the nearest hundredth

Step-by-step explanation:

Your welcome

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

Read more about stem and leaf plot at:

https://brainly.com/question/12276901

The simplified and standard form of the considered polynomial is -4c^2 -4c + 6

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

The given polynomial is:

[tex]2 + 7c - 4c^2 - 3c + 4[/tex]

Simplifying it gives:

[tex]2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2[/tex]

Writing it in the order of increasing to decreasing powers:

[tex]6 -4c -4c^2 = -4c^2 -4c + 6[/tex]

Thus, the simplified and standard form of the considered polynomial is [tex]-4c^2 -4c + 6[/tex]

Learn more about standard form of a polynomial here:

https://brainly.com/question/15313798

Answer:

4 and -1

Step-by-step explanation:

Roots are the X values of the quadratic equation, or where it crosses the x axis

Answer:

a, f

Step-by-step explanation:

Answer:

145°

Step-by-step explanation:

based on how the lines are set up, you could either subtract 35 from 180, or just get the 145 from the angle below.

Answer:

40π m² and 125.6 m²

Step-by-step explanation:

the area (A)  of the sidewalk is calculated as

A = outer area - inner area

(a)

A   = πr₁² - πr₂² ( r₁ is radius of outer circle and r₂ the radius of inner circle )

A  = π × 11² - π × 9²

  = 121π - 81π

 = 40π m²

(b)

A = 40 × 3.14 = 125.6 m²

Answer:

m=3

Step-by-step explanation:

Answer:

solution

Step-by-step explanation:

so the solution is this first multiply the numbers with out the decimal point and then count and add the decimal point.

Answer:

The total amount accrued, principal plus interest, with compound interest on a principal of $2,500.00 at a rate of 6% per year compounded 1 times per year over 10 years is $4,477.12.

Answer:

x = 4

Step-by-step explanation:

Given: 190x + 700 = 1,460

1. Subtract 700 from both sides:

190x + 700 - 700 = 1,460 - 700

190x = 760

2. Divide both sides by 190 to isolate x:

190x ÷ 190 = 760 ÷ 190

x = 4

Learn more about equations here:
brainly.com/question/26229877

Step-by-step explanation:

Number of students in class = 90

ratio of boys and girls = 4:5

sum of ratios = 9

Number of boys = 4/9 × 90

= 360/9

= 40

Number of girls = 5/9 × 90

= 450/9

= 50

Hope it helpz~

Answer: =

Step-by-step explanation: 54 =54

3/100 ×150=54

2/100 ×200=54

Answer:

y=x-5

Step-by-step explanation:

Answer: A

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:5\right),\:\left(x_2,\:y_2\right)=\left(2,\:-3\right)[/tex]

[tex]m=\frac{-3-5}{2-\left(-4\right)}[/tex]

[tex]\bold{m=-\frac{4}{3}}[/tex]

Answer:

A) -4/3

Step-by-step explanation:

The formula for the slope of a line is  [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plugging in the given values, we have:

[tex]\frac{-3-5}{2-(-4)}[/tex]

Solving:

[tex]\frac{-3-5}{2-(-4)}[/tex]

[tex]\frac{-8}{6}[/tex]

[tex]-\frac{4}{3}[/tex]

hope this helps!

Step-by-step explanation:

The rule for a 90-degree clockwise rotation about the origin (0,0) is:

(x,y) -----> (y,-x)

Simply apply this and you'll get your answer.

Hope this helps :)

Answer:

D

Step-by-step explanation:

Thanks

An expression is defined as a set of numbers, variables, and mathematical operations. The polynomial expression that represents the sum of cubes is (s+6)(s²-6s+36).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The sum of the cubes of a polynomial expression can be written as,

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

Therefore, we need to find the polynomial expression which looks similar to the above expression,

[tex]s^3+6^3=(s+6)(s^2-6s+36)[/tex]

Thus, the polynomial expression that represents the sum of cubes is [tex](s+6)(s^2-6s+36)[/tex].

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

(6 + s)(s2 – 6s + 36)

Step-by-step explanation:

2022

Answer:

27

Step-by-step explanation:

Based on the given conditions, formulate: 54×13÷26 

Cross out the common factor:54/2

Cross out the common factor:27

Get the result:27

Answer: 27

Answer: Find details in the picture. The answer is 4.9

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

When we divide fractions we multiply instead since it's the opposite of division and we do the reciprocal. Reciprocal means we flip the fraction from 1/3 to 3/1

So:

4÷1/3 would become 4×3/1

4×3/1 is the same as 4×3

So:

4×3=12

That's why the answer is 12.

Answer:

[tex]1\frac{7}{8}inches[/tex]

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

[tex]2-\frac{1}{8} =\frac{16-1}{8} =\frac{15}{8} =1\frac{7}{8}[/tex]

Therefore, the difference between the greatest and least amount of rainfall is [tex]1\frac{7}{8}inches[/tex]

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

Answer: Thanks! Same to you, hope you have a good life.

Step-by-step explanation:

You too, I guess! Thanks for the points.