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2 years ago

Geometry: I need help!

Mathematics

1 answer:

Alona [7]2 years ago

8 0

Volume of triangular prism = base x height x length / 2
= 8 x 5 x 9 / 2
= 360 / 2
= 180 cubic cm

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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.

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2 years ago

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Verizon [17]

The correct answer is B. -2x-6

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Sam's problem: The median number of 2, 18, 3, 22, 5 is 10. Your solution: Was Sam correct? Select the reason from the selections

Mumz [18]

Answer:

It's not, the Median is 5 the mean is 10!

Step-by-step explanation:

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

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The list of all factors for 21 is 1, 3, 7, and 21.<br><br> True or False<br> plz i need help

antiseptic1488 [7]

Answer:

true

Step-by-step explanation:

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3 years ago

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Write 2x+y=17 in slope-intercept form

Harlamova29_29 [7]

Answer:

y=-2x+17

Step-by-step explanation:

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