Can I get some help? Thanks!

Mathematics

1 answer:

Shkiper50 [21]3 years ago

8 0

set up an equation to solve for x

2-x ≥ 0

subtract 2 from each side:

-x≥ -2

multiply both sides by -1 ( to make x positive) and reverse the sign

x≤2

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Which equation represents a line which is perpendicular to the line 4x + 3y = - 24 ?

Scorpion4ik [409]

Answer:

Step-by-step explanation:

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eq. of any line perpendicular to given line is

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$z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2$

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$\mathbf r(\theta,\varphi)=\langle3\cos\theta\sin\varphi,3\sin\theta\sin\varphi,3\cos\varphi\right\rangle$

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Now the surface area of the cap is given by the surface integral,

$\displaystyle\iint_{\text{cap}}\mathrm dS=\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dv\,\mathrm du$
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