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2 years ago

2y2 times -8 help me pleaseee

Mathematics

1 answer:

Setler79 [48]2 years ago

8 0

Answer:

16y2

Step-by-step explanation:

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EXPLAIN why we placed the value of x= 4/3( the minimum value) into the equ of gradient(dy/dx) [in the answer, marking scheme att

aliina [53]

$y=x(x-2)^2$
$\implies y'=(x-2)^2+2x(x-2)=3x^2-8x+4=(3x-2)(x-2)=0$
$\implies x=\dfrac23,x=2$

are the critical points, and judging by the picture alone, you must have $b=\dfrac23$ and $a=2$ . (You might want to verify with the derivative test in case that's expected.)

Then the shaded region has area

$\displaystyle\int_0^2x(x-2)^2\,\mathrm dx=\dfrac43$

I'll leave the details to you.

Now, for part (iv), you're asked to find the minimum of $\dfrac{\mathrm dy}{\mathrm dx}=y'$ , which entails first finding the second derivative:

$y'=3x^2-8x+4$
$\implies y''=6x-8$

setting equal to 0 and finding the critical point:

$6x-8=0\implies x=\dfrac86=\dfrac43$

This is to say the minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ *occurs when $x=\dfrac43$ *, but this is not necessarily the same as saying that $\dfrac43$ is the actual minimum value.

The minimum value of $\dfrac{\mathrm dy}{\mathrm dx}$ is obtained by evaluating the derivative at this critical point:

$m=\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=4/3}=3\left(\dfrac43\right)^2-8\left(\dfrac43\right)+4=-\dfrac43$

4 0

3 years ago

Help will mark you Brainliest

Ymorist [56]

Answer:

6.6 inches

Step-by-step explanation:

8 0

3 years ago

Im not sure how to find the surface area. 35 points

Serga [27]

Answer: 3060 ft^2

Step-by-step explanation:

We will calculate the surface area of the rectangular prism and the triangular prism separately and then subtract off the face that isn't on the surface.

For the rectangular prism:

SA= Ph + 2B

P = 36+36+10+10

P = 92

B = 36*10 = 360

SA = 92*20+2*360

SA = 1840+720

SA = 2560

We subtract off the face on the right of the rectangular prism because it isn't on the surface so we get 2560-200 = 2360

Now for the triangular prism:

SA= Ph + 2B

P = 15+20+25

P = 60

B = 15*20/2

B = 150

SA = 60*10+2*150

SA = 600+300

SA = 900

Again we subtract off the face on the left bescause it's not on the surface so we get 900-200 = 700

Therefore, the total surface area = 2360+700 = 3060 ft^2

4 0

2 years ago

Hi so idk what 4×4×7×2×0×9 is

professor190 [17]

The answer is 0! Hope this helps!!! :)

3 0

3 years ago

A muffin recipe calls for 3 times as much flour as sugar. Use your expression to find the amount of flour needed when 3/4 cup of

balandron [24]

Answer:

f=3•3/4

Step-by-step explanation:

flour equals 3 sugar or 3 times 3/4

3 0

3 years ago