Question
The normal to the curve $y=a x^{\frac{1}{2}}+b x$ at the point where $x=1$ has a slope of 1 and intersects the $y$ -axis at $(0,-4) .$ Find the value of $a$ and the value of $b$
Step 1
We can use this information to find the equation of the normal line. The equation of a line with slope $m$ and $y$-intercept $c$ is $y=mx+c$. So, the equation of the normal line is $y=x-4$. Show more…
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