4 A curve has equation y=x^3 - 2x² +5. Find the coordinates of its two stationary points.​

Answers

Answer 1

Answer:

Stationary points are (0, 5) and (4/3, 103/27)

Step-by-step explanation:

At stationary point (turning point), dy/dx :

[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]

but dy/dx = 0:

[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]

let y = x³ - 2x² + 5:

[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]


Related Questions

Can someone please help me with this? Can someone please explain too?

It's a little bit urgent, please help. Thank you.

Answers

Answer:

1. A

2. D

3. D

Step-by-step explanation:

For one & two: Basically, what you do is you replace the Xs from the answers with all the set of numbers given from the question. You then see after you  test the numbers  w/ the answers it'll help you find the correct answer.

For three: Using all the numbers starting from zero to the left you use it to solve the problem by utilizing those numbers and replacing it w/ the Xs as explained above to find your answer.

Write an equation that can be use to find the price to place a phone call.

Answers

The rate of change is $.10 per minute. So that is the coefficient of X. The Y intercept would be .50 because the Y value when x is 1 is .60, with a slope of .1 so subtracting .1 gives .5 for a value of 0. The equation would be .1x+.5=y

SOMEONE HELP PLEASE ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!

Answers

Answer:

[tex] {9}^{ - \frac{1}{2} }[/tex]

Step-by-step explanation:

Given,

[tex] \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{ {9}^{5} } } [/tex]

[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{ \sqrt[4]{9 \times 9 \times 9 \times 9 \times 9} } [/tex]

[tex] = \frac{ \sqrt[4]{9} \sqrt{9} }{9 \sqrt[4]{9} } [/tex]

[tex] = \frac{ \sqrt{9} }{9} [/tex]

[tex] = \frac{ {9}^{ \frac{1}{2} } }{ {9}^{1} } [/tex]

[tex] = {9}^{ \frac{1}{2} - 1} [/tex]

[tex] = {9}^{ - \frac{1}{2} } (ans)[/tex]

solve for x =
a 9
b 7
c 4

Answers

2x = 3*6
2x = 18
x = 9

If x+y=10 and x-y=4 find the value of x2-y2

Answers

Answer:

40

Step-by-step explanation:

[tex]x^2 - y^2 = (x+y)(x-y) = 10\times 4 = 40[/tex]

Teresa has a clock that gives off a signal every 60 minutes, another clock that gives off a signal every 150 minutes, and a third one that gives off a signal every 360 minutes. At 9 am, all three clocks coincide and give off the signal at the same time. a) What is the least amount of hours it will take for the clocks to coincide again? b) At what time will they all give off the signal?

Answers

Answer:

[tex]\mathrm{Least\:Common\:Multiple\:of\:}60,\:360,\:150:\quad 1800[/tex]

in 30 hours

Step-by-step explanation:

Simplify the following expression:
4n - m + 3p + 2m - n - p

Answers

Answer:

The choose One

3n+m+2p

I hope I helped you^_^

Answer:

[tex] = 3n + m + 2p[/tex] (first option)

Step-by-step explanation:

[tex]4n - m + 3p + 2m - n - p[/tex]

[tex]4n - n = 4n - 1n = (4 - 1)n = 3n[/tex]

[tex]3n - m + 3p + 2m - p[/tex]

[tex] - m + 2 = - 1m + 2m = ( - 1 + 2)m = 1m = m[/tex]

[tex]3n + m + 3p - p[/tex]

[tex]3p - p = 3p - 1p = (3 - 1)p = 2p[/tex]

[tex] = 3n + m + 2p[/tex]

HELP ASAP!! THIS IS SLOPE INTERCEPT FORM AND I HAVE NO IDEA HOW TO TO DO PLEASE EXPLAIN

Answers

Heya!

Wassup?

See the above pictures!

Remember: Make a dot where the line touches the graph.

Hope it help you

(3,-2)
– 2-

(1,0)
how many times am i moving ?

Answers

Answer:

Step-by-step explanation:

Which equation has the same solution as x2 + 12x +8= -5?

Answers

Answer:

Hope its help you...........

1.3/4 part of number of students are girls and 120 students are boy. how many student are there altogether *​

Answers

Answer:

159 students.

Since all you need to do is multiply 120×1.3/4=39, then you add 120, as we are told that there are 120 boys. Basically, there are 39 girls and 120 boys, since by multiplying 20×1.3/4 equals 39, so 39 girls, and 120 boys. Now add them all together, 120+39=159.

Hope I helped!

What is the value of k in the equation (k - 1)/ 15 = 15/9 ?

Answers

[tex]\\ \sf\longmapsto \dfrac{k-1}{15}=\dfrac{15}{9}[/tex]

[tex]\\ \sf\longmapsto 9(k-1)=15^2[/tex]

[tex]\\ \sf\longmapsto 9k-9=225[/tex]

[tex]\\ \sf\longmapsto 9k=225+9[/tex]

[tex]\\ \sf\longmapsto 9k=234[/tex]

[tex]\\ \sf\longmapsto k=\dfrac{234}{9}[/tex]

[tex]\\ \sf\longmapsto k=26[/tex]

Step-by-step explanation:

everything can be found in the picture

please help


Solve -2/3n <_16. which of the following must be true about the inequality and the resulting graph? Select Three options

Answers

Answers:

The circle is closed.
N>=-24
The arrow points to the right

Explaining:

The circle will allows be closed if the answer is equal to. Think of greater than or less than sign as an arrow. It will allows point the direction of the >.

Answer this please x + 14 = -6

Answers

Answer:

b) -20

Step-by-step explanation:

-20+14= -6

Answer:

The answer is B.) -20

Step-by-step explanation:

wrong) 8 + 14 = 20

Right) -20 + 14 = -6

Wrong) -8 + 14 = 6

Wrong) 20 + 14 = 34

If this helps you Brainlest would be very nice

P.S Thank ❤️ and Rate ⭐️ my answer.

− 4 − [2+4( − 6) − 4 −(2²-5×21)]

Answers

Answer:

1

Step-by-step explanation:

First, solve four your last bracket, 2 squared is 4 and minus 5 is -1 times 21 is -21. Yet because the outer symbol is a negative, all signs change-making 21 positive. Solve 4*-6, and you get -24. This leaves you with [2-24-4+21] that gives you -5. Yet, because the outer sympol is a negative, 5 becomes positive. This leaves you with 1.

Answer:

71

Step-by-step explanation:

− 4 − [2 + 4(− 6) − 4 − (2²- 5×21)]

− 4 − [2 + 4(− 6) − 4 − (4 - 5×21)]

− 4 − [2 + (-24) − 4 − (4 - 105)]

− 4 − [-22 − 4 − (-101)]

− 4 − [-22 − 4 + 101]

− 4 − [-22 + 97]

− 4 − [-22 + 97]

− 4 − [75]

− 4 − 75

71

sarah solved an equation correctly, and she got 2=2. in a complete sentence, explain what this result means.

Answers

Answer:

see explanation

Step-by-step explanation:

Solving an equation and obtaining the final line as

2 = 2 ( that is both sides equal )

Indicates that the equation has an infinite number of solutions

Evaluate this exponential expression.

8.(2+ 3)2 – 42

А. 72
В. 11
ООО О
С. 184
D. 24

Answers

It's -32 since 10-42=-32

Find the value of n. olease help

Answers

Step-by-step explanation:

(-3n-13)+(n-369)=360degrees

-3n-13+n-369=360degrees

-3n+n-369-13=360degrees

-2n-382=360 degrees

-2n=(360+382)degrees

-2n=742

n=742 divided by - 2

= - 371

[tex]\\ \rm\longmapsto -3n-13=n-369[/tex]

[tex]\\ \rm\longmapsto -3n-n=-369+13[/tex]

[tex]\\ \rm\longmapsto -4n=-356[/tex]

[tex]\\ \rm\longmapsto 4n=356[/tex]

[tex]\\ \rm\longmapsto n=\dfrac{356}{4}[/tex]

[tex]\\ \rm\longmapsto n=89[/tex]

− 5/2​ ÷5/7

please help again....please

Answers

Step-by-step explanation:

hope you get it.

if you need answers in decimal it is -3.5

Answer: - 7/2

Alternative Answers: - 3 1/2, - 3.5

Step-by-step explanation:

- 5/2 / 5/7

To divide by a fraction, multiply by the reciprocal of that fraction.

- 5/2 x 7/5

Reduce the numbers with the greatest common factor 5

- 1/2 x 7

Simplify and calculate the product

- 7/2 or - 3 1/2 or - 3.5

Learn more: https://brainly.com/question/14758494

Write an absolute value inequality for the graph below. Use x for your variable. ​

Answers

Answer:

|x| ≥ 7

Step-by-step explanation:

Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.

Absolute value is 7 or greater.

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to q

As, absolute value means that any value of x will always be positive.

So, the absolute value according to -7 or less would be 7 or greater,

Hence, absolute value is 7 or greater.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Solve. Give exact answers if possible, otherwise round to two decimal places. [6 marks]
A) 64^ x+4= (1/6)^x B) 5^x+1 - 5^x+2= -2500 C) 5^ x-1 + 10= 53

Answers

Step-by-step explanation:

jjjeejjenNJjsjsjsjJjsjshsbsbebeh

write a polynomial in standard form with the zeros –4 0 1 and 4

Answers

Step-by-step explanation:

Hi there!

Zero of the polynomial is the value of "X" that gives final answer as zero.

So, as the polynomial in the second gives zero every time when we keep the zero which are given in the question. It is the answer.

Check:

• x⁴ - x³ - 16x² + 16x

(-4)

Keep the value -4 as the value of X in polynomial.

= (-4)⁴-(-4)³ -16*(-4)²+16*(-4)

= 256+64-256-64

= 0

0

Keep the value 0 as the value of X in polynomial.

= (0)⁴-(0)³ -16*(0)²+16*(0)

= 0-0-0+0

= 0

1

Keep the value 1 as the value of X in polynomial.

= (1)⁴-(1)³ -16*(1)²+16*(1)

= 1-1-16+16

= 0

4

Keep the value 4 as the value of X in polynomial.

= (4)⁴-(4)³ -16*(4)²+16*(4)

= 256 - 64-256+64

= 0

Therefore, the correct answer is option B.

Hope it helps!

Help please I will give brainlyest 9th grade lidral arts

Answers

-5 + 12  is 7

-2 - 8 is -10

Please help me. 20 POINTS​

Answers

Answer:

No. Angle 1 is an obtuse angle while angle 2 is an acute angle. obtuse angles are more than 90 degrees, which is more than an acute angle's less than 90 degrees.

Step-by-step explanation:

Jackie orders 7 scones for $12.31. What is the cost of 2 scones?

Answers

i think it’s $3.52 for 2

The letters a and b represent nonzero constants solve
ax-b=12.5 for x

Answers

Answer:

x=(12.5+b)/a

Step-by-step explanation:

ax-b=12.5

ax=12.5+b

x=(12.5+b)/a

The solution for the equation ax - b = 12.5 for x is:

x = (12.5 + b) / a

We have,

To solve the equation ax - b = 12.5 for x, follow these steps:

- Add b to both sides of the equation:

ax - b + b = 12.5 + b

This simplifies to:

ax = 12.5 + b

- Divide both sides of the equation by "a":

(ax) / a = (12.5 + b) / a

Simplify:

x = (12.5 + b) / a

Thus,

The solution for the equation ax - b = 12.5 for x is:

x = (12.5 + b) / a

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

what is the smallest 4 digit number that is both a perfect square AND a perfect cube?

thank you so much for your time, and thank you so so much if you answer my question!! I will give brainliest if I can!

Answers

Answer:

The answer is 1024

Step-by-step explanation:

Hope I am correct

Answer:4096

Step-by-step explanation: Considering that 4096 is a perfect square and perfect cube. Also that being the smallest 4 digit number 4096 is the correct answer

11(5) - 11(4) I really need helpon this

Answers

[tex]Hello[/tex] [tex]There![/tex]

The answer is....

[tex]11.[/tex]

Hopefully, this helps you!

[tex]AnimeVines[/tex]

Answer:

The answer is 11.

Step-by-step explanation:

(11*5)-(11*4)=???

11*5=55

11*4=44

55-44=11.

Hello! Any help is appreciated (:

Answers

Answer:

yes

Step-by-step explanation:

This relation is a function

Each input value goes to only one output value so the relation is a function

Answer:

Yes this is a function

Step-by-step explanation:

Hope this helps you have a wonderful afternoon

i don’t understand can someone please help me

Answers

Answer:

Answer:

Step-by-step explanation:

Answer as Photo

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