In Problems 2 - 4, find the values algebraically, without using limit notation. (as in videos) 2. The point P (1, -4) lies on the curve y = - x 2 + 3 X - 2 a. Use algebra to find the value of the slope of the tangent line to the curve at P (1, -4). b. Using the slope in part (a), find an equation of the tangent line to the curve at P (1, -4). 3. Find the slope of the tangent line to y = V3x + 4 at x = 7 4. The point P (3, 6) lies on the curve y = x - x. a. Use algebra to find the value of the slope of the tangent line to the curve at P (3, 6). b. Use algebra to find the value of the slope of the tangent line to the curve at a point (a, a2 - a) (This is the specific point. The slope will be a function of a .. . it will have a in it) A ball is thrown straight upward. After t seconds, the height is s(t) = 96 + 106t - 16t2 feet. 5. Use algebra to guess the velocity of the ball after 3 seconds