The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer:
Line 2 and Line 4 are perpendicular
Step-by-step explanation:
Line 2: y=1/5x−3
Line 4: y+1=−5(x+2)
The first to find the length of each side, we have to find the value of x :







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<u>Solution First side :</u></span>

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<u>Solution Second Side :</u></span>

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<u>Solution Third Side :</u></span>