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3 years ago

I don’t understand this do any of you do?

Mathematics

1 answer:

strojnjashka [21]3 years ago

8 0

Answer:

a reflection across line y, then a translation (1,-5) (right 1, down 5)

Step-by-step explanation:

A(-2,4) → (2, 4) → D(3, -1)

B(-6, 1) → (6, 1) → E(7, -4)

C(-3, 1) → (3, 1) → F(4, -4)

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Evaluate the surface integral ModifyingBelow Integral from nothing to nothing Integral from nothing to nothing With Upper S f (x

kykrilka [37]

Parameterize $S$ by

$\vec s(u,v)=6\cos u\sin v\,\vec\imath+6\sin u\sin v\,\vec\jmath+6\cos v\,\vec k$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ . Take a normal vector to $S$ ,

$\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=36\cos u\sin^2v\,\vec\imath+36\sin u\sin^2v\,\vec\jmath+36\cos v\sin v\,\vec k$

which has norm

$\left\|\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}\right\|=36\sin v$

Then the integral of $f(x,y,z)=x^2+y^2$ over $S$ is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\iint_S\left((6\cos u\sin v)^2+(6\sin u\sin v)^2\right)\left\|\frac{\partial\vec s}{\partial v}\times\frac{\partial\vec s}{\partial u}\right\|\,\mathrm du\,\mathrm dv$

$=\displaystyle36^2\int_0^{\pi/2}\int_0^{2\pi}\sin^3v\,\mathrm du\,\mathrm dv=\boxed{1728\pi}$

6 0

3 years ago

Find the equation of a line that is perpendicular to line g that contains (P, Q). coordinate plane with line g that passes throu

maw [93]

Answer:

$y - Q = - \frac{1}{4}(x - P)$

Step-by-step explanation:

Line g passes through (-2,6) and (-3,2).

The slope of line g is given by:

$\frac{ y_2-y_1}{x_2-x_1}$

Let's substitute the values to get:

$\frac{2 - 6}{ - 3 - - 2}= \frac{ - 4}{ - 1} = 4$

The equation that is perpendicular to line g will have a slope that is the negative reciprocal of 4.

i.e -1/4

If this line passes through (P,Q), then the equation is:

$y - Q = - \frac{1}{4} (x - P)$

7 0

3 years ago

How do you solve this problem

MArishka [77]

Answer:

1250 p² x¹² y³z⁶m⁵

Step-by-step explanation:

5x²y³z⁵m²(-2p²m³zx⁴)(-5x²)³

5x²y³z⁵m²(-2p²m³zx⁴)(-125x⁶)

5x²y³z⁵m²(250p²m³zx¹⁰)

1250 p²x¹²y³z⁶m⁵

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3 years ago

Helppppppppppppppppppppppppp

kumpel [21]

Answer:
x = 10

Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)

Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)

This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions

Hope this helps :)

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3 years ago

Sean has a piece of string 7/8 meter long. He uses 1/5 of the piece of string to tie a package and cuts the rest into 5 equal pi

Olin [163]

Let change 7/8 and 1/5 into decimal point so 0.88 and 0.2
0.88-0.2 =0.68
then we want 5 equal length so we divided
0.68 / 5 =0.14

6 0

3 years ago