**Unformatted text preview: **Slope tan = x + a 3. The point P lies on the curve . a. If Q is the point , use algebra to guess the value of the slope of the tangent line to the curve at P . Slope tan = -1/(4(x+2)) = -1/16 Note: I edited the y in point Q from 1/x to 1/(x+2) 4. The point P lies on the curve . a. If Q is the point , use algebra to guess the value of the slope of the tangent line to the curve at P . If x = 2.0000001, tan slope = 1/3 5. The point P lies on the curve . a. Use algebra to guess the value of the slope of the tangent line to the curve at P (3, 6). M sec = x+2 = 5 b. Use algebra to guess the value of the slope of the tangent line to the curve at a point (x^2-x-a^2+a)/(x-a) if x=1.0001, slope = 4.999, so slope guess is 5 6. A ball is thrown straight upward. After t seconds, the height is feet. Use algebra to guess the velocity of the ball after 3 seconds. If t =3 then 270 feet...

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