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3 years ago

Help with the following problem please:

Mathematics

1 answer:

Sati [7]3 years ago

5 0

The perimeter is 2+2+6+6+3+3+3+3+3+3+3+3=40, the perimeter is 40 inches

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Evaluate<br> O 15<br> O1<br> What’s the answer?????

Sphinxa [80]

The pictures is black and theres only 15 and a 1 so im gonna guess 15

3 0

3 years ago

Show that the line integral is independent of path by finding a function f such that ?f = f. c 2xe?ydx (2y ? x2e?ydy, c is any p

Juli2301 [7.4K]

I'm reading this as

$\displaystyle\int_C2xe^{-y}\,\mathrm dx+(2y-x^2e^{-y})\,\mathrm dy$

with $\nabla f=(2xe^{-y},2y-x^2e^{-y})$ .

The value of the integral will be independent of the path if we can find a function $f(x,y)$ that satisfies the gradient equation above.

You have

$\begin{cases}\dfrac{\partial f}{\partial x}=2xe^{-y}\\\\\dfrac{\partial f}{\partial y}=2y-x^2e^{-y}\end{cases}$

Integrate $\dfrac{\partial f}{\partial x}$ with respect to $x$ . You get

$\displaystyle\int\dfrac{\partial f}{\partial x}\,\mathrm dx=\int2xe^{-y}\,\mathrm dx$
$f=x^2e^{-y}+g(y)$

Differentiate with respect to $y$ . You get

$\dfrac{\partial f}{\partial y}=\dfrac{\partial}{\partial y}[x^2e^{-y}+g(y)]$
$2y-x^2e^{-y}=-x^2e^{-y}+g'(y)$
$2y=g'(y)$

Integrate both sides with respect to $y$ to arrive at

$\displaystyle\int2y\,\mathrm dy=\int g'(y)\,\mathrm dy$
$y^2=g(y)+C$
$g(y)=y^2+C$

So you have

$f(x,y)=x^2e^{-y}+y^2+C$

The gradient is continuous for all $x,y$ , so the fundamental theorem of calculus applies, and so the value of the integral, regardless of the path taken, is

$\displaystyle\int_C2xe^{-y}\,\mathrm dx+(2y-x^2e^{-y})\,\mathrm dy=f(4,1)-f(1,0)=\frac9e$

8 0

3 years ago

Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the

Brut [27]

Answer:

(d) f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

8 0

2 years ago

During the first month of sales, a company sold 1,300,000

schepotkina [342]

The right answer is Option C.

Step-by-step explanation:

Given,

Smartphone sold = 1300000 units

Smartphones returned = 15%

No. of smartphones returned = 15% of smartphones sold

No. of smartphones returned = $\frac{15}{100}*1300000$

No. of smartphones returned = 0.15*1300000 = 195000 units

As sales and return rate remains same, therefore,

Returns in 6 months = 6*per month returns

$Returns\ in\ 6\ months=6*195000=1170000\ units$

1170000 units will be returned to the company during 6 months.

The right answer is Option C.

Keywords: multiplication, return rate

Learn more about multiplication at:

#LearnwithBrainly

5 0

3 years ago

two person A and B spent a total of pkr 486 .Person A spent twice as much money as person B. How much money did person A spend

Phoenix [80]

9514 1404 393

Answer:

pkr 324

Step-by-step explanation:

Person A spent 2/3 of the total money spent, so ...

(2/3)(pkr 486) = pkr 324 . . . spent by person A

8 0

2 years ago