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3 years ago

HELP ill give brainliest to the RIGHT answer

Mathematics

1 answer:

labwork [276]3 years ago

4 0

True im ded ok?........................

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Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/

Norma-Jean [14]

Answer:

Therefore surface integral is $\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c$ .

Step-by-step explanation:

Given function is,

$\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}$

To find,

$\int\int_{S}\vec{F}dS$

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

$\int\int_{S}\vec{F}dS$

$=\int\int\int_V\nabla.\vec{F}dV$

$=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV$

$=\frac{a^2+b^2}{ab}\int\int\int_VdV$

$=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}$

$=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c$

If unit vector $\cap{n}$ directed in positive (outward) direction then z=c and,

$\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA$

$=\int\int_{S_1}.dA=0$

If unit vector $\cap{n}$ directed in negative (inward) direction then z=-c and,

$\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA$

$=\int\int_{S_2}. -dA=0$

Therefore surface integral without unit vector of the surface is,

$\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c$

5 0

4 years ago

M is the midpoint of DE. If MD = 4x - 6 and ME = 3x + 2, find the length of DE.

bekas [8.4K]

The length of the de uwb

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3 years ago

Find the other endpoint of the line segment

nikdorinn [45]

Answer:

Step-by-step explanation:

2+1+5-3x4

4 0

2 years ago

Which of the binomials below is a factor of this trinomial? 4x2 + 12x + 9A. 2x-3B. 2x-1C. 2x+1D. 2x+3

katrin [286]

In order to factorate the trinomial, let's first find its roots using the quadratic formula:

$\begin{gathered} b^2-4ac=12^2-4\cdot4\cdot9=144-144=0 \\ x_1=x_2=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{-12+0}{2\cdot4}=-\frac{12}{8}=-\frac{3}{2} \end{gathered}$

Now we can write the trinomial in the form:

$a(x-x_1)(x-x_2)$

So we have that:

$4x2+12x+9=4(x+\frac{3}{2})(x+\frac{3}{2})=(2x+3)(2x+3)$

So 2x + 3 is a factor of the trinomial, therefore the answer is D.

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2 years ago

The point (–5, 6) is located in which quadrant?

kolbaska11 [484]

Quadrant 1 is the answer. quadrant 2 is to the right of quadrant 1 and quadrant 3 is below quadrant 1

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4 years ago