For the function f(x) = 0.2(x+4x-16x - 16) +5 complete the following table. [K6] Slope of...

 

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For the function f(x) = 0.2(x+4x-16x - 16) +5 complete the following table. [K6] Slope of tangent Rate of change (+/-) X -4 -3 -2 -1 0 1 2 3 4 Local Max/Min Inflection pt. 2. A science project studying catapults sent a projectile into the air with an initial velocity of 24.5 m/s. The formula for distance (s) in meters with respect to time in seconds is s=-4.91 +24.5t. [T10] a) Find the time that this projectile would appear to have the maximum distance above ground. (Note that you can use graphing technology to help with this, but you should also be able to analyze the problem algebraically.) b) Find the slope of the tangent at that point using lim f(x+h)-f(x) h0 h For the function f(x) = 0.2(x+4x-16x - 16) +5 complete the following table. [K6] Slope of tangent Rate of change (+/-) X -4 -3 -2 -1 0 1 2 3 4 Local Max/Min Inflection pt. 2. A science project studying catapults sent a projectile into the air with an initial velocity of 24.5 m/s. The formula for distance (s) in meters with respect to time in seconds is s=-4.91 +24.5t. [T10] a) Find the time that this projectile would appear to have the maximum distance above ground. (Note that you can use graphing technology to help with this, but you should also be able to analyze the problem algebraically.) b) Find the slope of the tangent at that point using lim f(x+h)-f(x) h0 h