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3 years ago

Find the points on the curve y = 2x3 + 3x2 − 12x + 6 where the tangent line is horizontal.

1 answer:

3 0

N.b., this is copied from an answer I wrote for someone else.

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

$y'=6x^2+6x-12$

Next, find the zeros of y' by factoring.

$6(x^2+x-2)=0 \\ x = -2, x = 1$

Now, we substitute these x-values into the original equation to find the coordinates.

$(-2,21), (1,-6)$

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Y=|x+2|+4<br> what is the vertex of the equation..<br> help please and the work too ;/

LuckyWell [14K]

Well plug 0 in for x and solve for y and that is the vertex of your expression

7 0

3 years ago

I need another help again my bros

andrew11 [14]

Answer:

a = 15.59 c= 31.18

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3 0

3 years ago

Read 2 more answers

URGENT TEST I HAVE!!!!

Lerok [7]

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

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2 years ago

Dy/dx = (sin x)/y , y(0) = 2

skad [1K]

Start with

$\dfrac{dy}{dx}=\dfrac{\sin(x)}{y}$

Separate the variables:

$y\;dy = \sin(x)\;dx$

Integrate both parts:

$\displaystyle \int y\;dy = \int\sin(x)\;dx$

Which implies

$\dfrac{y^2}{2} = -\cos(x)+c$

Solving for y:

$y = \sqrt{-2\cos(x)+c}$

Fix the additive constant imposing the condition:

$y(0) = \sqrt{-2+c}=2 \iff -2+c=4 \iff c=6$

So, the solution is

$y(x) = \sqrt{-2\cos(x)+6}$

5 0

2 years ago

Which dot plot shows three people that sleep for eight hours at night and three people that sleep for six hours at night?

liberstina [14]

Answer:

A dot plot titled How many Hours do you Sleep at Night question mark going from 5 to 9. 5 has 2 dots, 6 has 3 dots, 7 has 4 dots, 8 has 3 dots, and 9 has 1 dot.

Step-by-step explanation:

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3 years ago