MHB S4.13.t.71 Angles of triangle PQR

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232.q1.4a sketch the region of integration

$\displaystyle\int_{-2}^{2}\int_{\sqrt{4y^2}}^{4-y^2}
f(x,y)\,dx \,dy$

this is what i did with desmos don't know how
to shade the integrated area
if the it is even correct😎
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Re: s4.13.t.71 angles of triangle PQR

sorry your correct
but there was a typo in the OP
it should of been
$\displaystyle\int_{-2}^{2}\int_{\sqrt{4-y^2}}^{4-y^2}
f(x,y)\,dx \,dy$

minus sign missing😰

how did you fill with red ... paint??
 
Last edited:
Hi everybody If we have not any answers for critical points after first partial derivatives equal to zero, how can we continue to find local MAX, local MIN and Saddle point?. For example: Suppose we have below equations for first partial derivatives: ∂ƒ/∂x = y + 5 , ∂ƒ/∂y = 2z , ∂ƒ/∂z = y As you can see, for ∇ƒ= 0 , there are not any answers (undefined)

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