Determine Point of Tangency & Value of "b" for y=8x+b

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SUMMARY

The discussion focuses on finding the point of tangency and the value of "b" in the equation of the line y = 8x + b, which is tangent to the curve y = 2x^2. The slope of the line, represented by the number 8, indicates the rate of change of y with respect to x. By setting the derivative of the curve equal to the slope of the line, the point of tangency can be determined, leading to the calculation of "b" as 8.

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The line y = 8x + b is tangent to the curve y = 2x^2.

Determine the point of tangency and the value of "b"
 
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What does the number 8 in y = 8x + b represent?
 

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