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3 years ago

Luke correctly graphs the fundamental period of the function f(x)=sinx.

Mathematics

2 answers:

aleksandrvk [35]3 years ago

6 0

Answer:

Period is 2pi

Y- intercept is (0,0)

For points, use the last option

salantis [7]3 years ago

4 0

Period = 2pi yint = 0,0 and the points are the 4th option 0,0 pi/2,1......

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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

3 years ago

Bryce has 28 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 445 cents, how many d

raketka [301]

He has 11 quarters and 17 dimes.
11 x .25 = 2.75 17 x .1 = 1.7 2.75 + 1.7 = 4.45
Hope this helps

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3 years ago

Factor the expression completely:<br> x³ - 3x² - 4x + 12

Ray Of Light [21]

(x+2)(x-2)(x-3) is the answer hope you 've an A

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3 years ago

Mr lim had 3kg of sugar . He divided the sugar into 5 equal amounts.what is the mass of eacy amount of sugar give your answer as

kicyunya [14]

Divide total # kg by the # of parts it is divided in to.

=3 kg ÷ 5 parts
=3/5 kg

Hope this helps! :)

6 0

3 years ago

The number of Calories burned while running varies directly with the number of miles run. Francesca burns 816 Calories on her 8-

Alla [95]

Answer:

y = 102*x

Step-by-step explanation:

y=a*x

x: distance

y: calories

816=a*8

a= 816/8= 102

4 0

2 years ago