All categories

3 years ago

How to multiply in a easier way?

Mathematics

2 answers:

vlabodo [156]3 years ago

6 0

You can multiply an easier way by doing the lattice methid which is doing multiplaction in a box

Bezzdna [24]3 years ago

4 0

You can multiply in a easier way by putting the bigger number on the top

and the smaller number on the bottom like this

321 times 124

You might be interested in

A scientist uses a camera to study the stars.

Ugo [173]

Answer:

sure

Step-by-step explanation:

7 0

2 years ago

For each of the following vector fields F , decide whether it is conservative or not by computing curl F . Type in a potential f

Phantasy [73]

The key idea is that, if a vector field is conservative, then it has curl 0. Equivalently, if the curl is not 0, then the field is not conservative. But if we find that the curl is 0, that on its own doesn't mean the field is conservative.

$\mathrm{curl}\vec F=\dfrac{\partial(5x+10y)}{\partial x}-\dfrac{\partial(-6x+5y)}{\partial y}=5-5=0$

We want to find $f$ such that $\nabla f=\vec F$ . This means

$\dfrac{\partial f}{\partial x}=-6x+5y\implies f(x,y)=-3x^2+5xy+g(y)$

$\dfrac{\partial f}{\partial y}=5x+10y=5x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\implies g(y)=5y^2+C$

$\implies\boxed{f(x,y)=-3x^2+5xy+5y^2+C}$

so $\vec F$ is conservative.

$\mathrm{curl}\vec F=\left(\dfrac{\partial(-2y)}{\partial z}-\dfrac{\partial(1)}{\partial y}\right)\vec\imath+\left(\dfrac{\partial(-3x)}{\partial z}-\dfrac{\partial(1)}{\partial z}\right)\vec\jmath+\left(\dfrac{\partial(-2y)}{\partial x}-\dfrac{\partial(-3x)}{\partial y}\right)\vec k=\vec0$

Then

$\dfrac{\partial f}{\partial x}=-3x\implies f(x,y,z)=-\dfrac32x^2+g(y,z)$

$\dfrac{\partial f}{\partial y}=-2y=\dfrac{\partial g}{\partial y}\implies g(y,z)=-y^2+h(y)$

$\dfrac{\partial f}{\partial z}=1=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=z+C$

$\implies\boxed{f(x,y,z)=-\dfrac32x^2-y^2+z+C}$

so $\vec F$ is conservative.

$\mathrm{curl}\vec F=\dfrac{\partial(10y-3x\cos y)}{\partial x}-\dfrac{\partial(-\sin y)}{\partial y}=-3\cos y+\cos y=-2\cos y\neq0$

so $\vec F$ is not conservative.

$\mathrm{curl}\vec F=\left(\dfrac{\partial(5y^2)}{\partial z}-\dfrac{\partial(5z^2)}{\partial y}\right)\vec\imath+\left(\dfrac{\partial(-3x^2)}{\partial z}-\dfrac{\partial(5z^2)}{\partial x}\right)\vec\jmath+\left(\dfrac{\partial(5y^2)}{\partial x}-\dfrac{\partial(-3x^2)}{\partial y}\right)\vec k=\vec0$

Then

$\dfrac{\partial f}{\partial x}=-3x^2\implies f(x,y,z)=-x^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=5y^2=\dfrac{\partial g}{\partial y}\implies g(y,z)=\dfrac53y^3+h(z)$

$\dfrac{\partial f}{\partial z}=5z^2=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=\dfrac53z^3+C$

$\implies\boxed{f(x,y,z)=-x^3+\dfrac53y^3+\dfrac53z^3+C}$

so $\vec F$ is conservative.

4 0

3 years ago

Plz show working for binary addition. please solve. 11000 + 110101 + 101011

olga_2 [115]

Answer: The answer to this is 222112

Step-by-step explanation: Its quite simple actually, you add all these numbers together, you bring up any ones that are extras then you add all the ones to the direct answer :> ( Hope this helps!)

4 0

2 years ago

Standard deviation measures _____ risk while beta measures _____ risk.

Stolb23 [73]

Answer:

Standard deviation measures Total risk while beta measures Systematic risk.

Step-by-step explanation:

The total risk is the total variability of the portfolio and includes the systematic risk and the unique risk.

The systematic risk is measured by the beta coefficient and it considers the no diversified risk such as changes in the global market. Unique risks are the ones that result from factors specifically related to the company.

3 0

2 years ago

Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°)

OLEGan [10]

The general solution for the given equation is 40°+120°n.

The period of g(x) is π.

The range of f(x) is [-1, 1].

sin(x-30°) = cos 2x
sin(x-30°) = sin(90°-2x)
(x-30°) = (90°-2x) + 360°n
x + 2x = 90° + 30° + 360°n
3x = 120° + 360°n
x = (120° + 360°n)/3
The general solution (x) is 40° + 120°n.

g(x) = cos 2x
The period of cos x is 2π.
If the multiplying factor of x is 'n', then it decreases the period by n times.
Here, in g(x), n is 2.
The period of g(x) is equal to half the period of cos x.
The period of g(x) = 2π/2
The period of g(x) is π.

f(x) = sin(x-30°)
"Sin" is a trigonometric function which has a range from -1 to 1.

To learn more about period, visit :

brainly.com/question/12539110

#SPJ9

5 0

1 year ago