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3 years ago

What is the maximum number of turns in the graph of this function? F(x)=x^4-x^3 3x 1

Mathematics

2 answers:

max2010maxim [7]3 years ago

5 0

Answer:

Maximum number of turns: 3

Step-by-step explanation:

1. By definition, a polynomial of $n$ degree, has a maximum turning points of $n-1$ .

2. Therefore, if you have the polynomial given in the problem, which is a polynomial of degree 4 ( $n=4$ , the maximum number of turns can be obtained as following:

$n-1=4-1=3$

3. Therefore, you can conclude that the maximum number of turns are 3.

uysha [10]3 years ago

5 0

Answer:

Like the other guy said, the answer is 3

Step-by-step explanation:

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Suppose you want to start saving for retirement. You decide to continuously invest $20000 of your income each year in a risk-fre

Korvikt [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

p= amount at any time

then $\frac{dp}{dt}=0.07 p$

$p=p_0 (1+e^{0.07 t) \\\\$

$P_0=\ principle \ amount \\\\ interest \ =p-p_0=p_0e^{0.07t}\\\\ p=y\frac{dy}{dt}=0.07y_0$

at time $= t\ years$

$\frac{dp}{dt}\\\\c_0=\$ \ 20000\ year\\\\p \to p+dp\\\\ dp=0.07p+c_0$

y= amount at any times

$\frac{dy}{dt}=0.07y+c_0\\\\dt= \frac{dy}{c_0+0.07y}$

For point a:

$\frac{dy}{dt}=20000+0.07 y$

For point b:

$\frac{dy}{20000+0.07 y}=dt\\\\\frac{1}{0.07}|n(\frac{0.07y+20000}{20000})=t\\\\\frac{0.07y}{20000}+1=e^{0.07t}\\\\y=7.1428\times 10^4[e^{0.07t} -1]\\\\y=\frac{20000}{0.07}[e^{0.07t}-1]\\\\$

For point c:

$y(30)=827391.75$

4 0

3 years ago

Determine the slope (m) and y-intercept (b) of the line:y = 2x - 3A) m = 3, b = 2B) m = 2, b = -3C) m = -3, b = 2D) m = 2, b = 3

bearhunter [10]

slope of line(m) = 2 and intercept on y axis is -2 that is 2 unit in negative y axis.

Equation of line in slope intercept form:

Slope:

Slope is known as tangent of an angle made by positive X-axis.

We know equation of line in slope and intercept form is,

y = mx + b

where,

m is slope of line

b is intercept on y axis

hence for the given equation,

y =2x - 3

slope (m) will be = 2

intercept on y axis (b) = -3

thus,

option (B) will be correct.

To learn more about slope visit:brainly.com/question/3605446

#SPJ9

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2 years ago

987 tickets sold on monday and 349 tickets sold on Tuesday

Inga [223]

Answer:

Um, can u give the whole question? Cause i can't solve it if you don't give enough details.

Step-by-step explanation:

{I need more details}

7 0

3 years ago

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alexira [117]

Answer:

y-25=180

Step-by-step explanation:

Same line so 180 degrees.

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3 years ago

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3 years ago