The point P (3,-8) lies on the curve y = x2 - 8x + 7. The point Q (x, x2 - 8x + 7) is also on the curve. A student made the following observations. Which of the following is false. The slope of the secant line PQ is equal to x-5 as long as x is not equal to 3. The equation of the tangent line at P is 2x + y + 2 = 0. The slope of the tangent line at P is 2.

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: Determine the equation of the curve whose slope at any point is equal to and which passes through…

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