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2 years ago

What is 1/2 times 5/2

Mathematics

2 answers:

Elena L [17]2 years ago

7 0

Answer:

1/2 x 1/5 is .1

Step-by-step explanation:

Artemon [7]2 years ago

6 0

Answer:

= 5/4

Step-by-step explanation:

Multiply across, so we will multiply our numerators first.

1 x 5 = 5

Then we multiply our denominators

2 x 2 = 4

Thats why your answer is 5/4

Hope this helps (:

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At what point does the curve have maximum curvature? Y = 4ex (x, y) = what happens to the curvature as x → ∞? Κ(x) approaches as

MAXImum [283]

<u>Answer-</u>

At $x= \frac{1}{2304e^4-16e^2}$ the curve has maximum curvature.

<u>Solution-</u>

The formula for curvature =

$K(x)=\frac{{y}''}{(1+({y}')^2)^{\frac{3}{2}}}$

Here,

$y=4e^{x}$

Then,

${y}' = 4e^{x} \ and \ {y}''=4e^{x}$

Putting the values,

$K(x)=\frac{{4e^{x}}}{(1+(4e^{x})^2)^{\frac{3}{2}}} = \frac{{4e^{x}}}{(1+16e^{2x})^{\frac{3}{2}}}$

Now, in order to get the max curvature value, we have to calculate the first derivative of this function and then to get where its value is max, we have to equate it to 0.

${k}'(x) = \frac{(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})}{(1+16e^{2x} )^{2}}$

Now, equating this to 0

$(1+16e^{2x})^{\frac{3}{2} } (4e^{x})-(4e^{x})(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x}) =0$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}-(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{3}{2}}=(\frac{3}{2}(1+e^{2x})^{\frac{1}{2}})(32e^{2x})$

$\Rightarrow (1+16e^{2x})^{\frac{1}{2}}=48e^{2x}$

$\Rightarrow (1+16e^{2x})}=48^2e^{2x}=2304e^{2x}$

$\Rightarrow 2304e^{2x}-16e^{2x}-1=0$

Solving this eq,

we get $x= \frac{1}{2304e^4-16e^2}$

∴ At $x= \frac{1}{2304e^4-16e^2}$ the curvature is maximum.

6 0

2 years ago

Can someone please answer. There is a picture. It is only one question. Thank you so much!

muminat

So you need getting the coordinates of center of the circle x and y
- than you check this graph so you get x= -3 and y=-1

8 0

2 years ago

What is the answer for m+4=-12

Illusion [34]

Answer: -16

Step-by-step explanation:

-12-4=-16

Making -16+4=-12

5 0

2 years ago

Read 2 more answers

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Vera_Pavlovna [14]

There’s an app called photo math where u can take a picture of the problem and it gives u the answer.

hope that helps lol

4 0

2 years ago

Use factor trees to find the GCF of 32, 24, and 40.

Lana71 [14]

GCF 32 24    40
^ ^   ^
  2 16 2 12    2 20
^    ^ ^
   2 8 2 6    2 10
   ^ ^ ^
   2 4 2 3    2 5
^
   2 2

(2) (2 & 3) (2 & 5)

8 0

2 years ago