math tuts
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2. An object is moving in a clockwise direction around the circle \( x^{2}+y^{2}=10 \). As it passes through the point \( (1,-3) \), its \( y \)-coordinate is decreasing at the rate of 2 units/second. At what rate is the \( x \)-coordinate changing at this point?
' \( n \) Voorwerp beweeg in ' \( n \) kloksgewyse rigting om ' \( n \) sirkel \( x^{2}+y^{2}=10 \). Soos dit deur punt \( (1,-3) \) beweeg, verminder sy \( y \)-koördinaat teen ' \( n \) tempo van 2 eenhede/sekonde. Teen watter tempo verander sy \( x \)-koördinaat by hierdie punt?
\[
\begin{aligned}
f^{\prime}(x)= & 2 x+2 y=10 \\
& 2 x+2(2)=10
\end{aligned}
\]