1. For the function f(x) = x determine an approximation for the slope of the tangent...

 

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1. For the function f(x) = x determine an approximation for the slope of the tangent to the curve at the point where x = 0.5. Use, f(a+h)-f(a) and h = 0.1. Show all your steps. h 2. For the function(x) = find an expression for the slope of a tangent at the point where a = 1 using f(a+h)-f(a) Simplify the expression first before substitution. [SK] Jim h-0 a. t= 1 b. t = 3 3. A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for distance (s) in meters with respect to time in seconds is lim h-0 [6K] s = -4.9t + 30t. Find the instantaneous rate of change (and thus the velocity at any time) using f(a+h)-f(a) and then find the instantaneous rate of change at: h [10A] 1. For the function f(x) = x determine an approximation for the slope of the tangent to the curve at the point where x = 0.5. Use, f(a+h)-f(a) and h = 0.1. Show all your steps. h 2. For the function(x) = find an expression for the slope of a tangent at the point where a = 1 using f(a+h)-f(a) Simplify the expression first before substitution. [SK] Jim h-0 a. t= 1 b. t = 3 3. A science project studying catapults sent a projectile into the air with an initial velocity of 30 m/s. The formula for distance (s) in meters with respect to time in seconds is lim h-0 [6K] s = -4.9t + 30t. Find the instantaneous rate of change (and thus the velocity at any time) using f(a+h)-f(a) and then find the instantaneous rate of change at: h [10A]