1) Calculate the slope and concavity of the following parametric function at the given t value....

 

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1) Calculate the slope and concavity of the following parametric function at the given t value. (a) x-t²+5t+4, y=4t, t=0; (b) x = √t, y= √t-1, t = 5; 2) Find the arclength of the curve given by x = √t, y = 3t-1,0 ≤ t ≤ 1. (This is taken from page 716 No 53 and answer is available on calcchat.com) 3) Find the slope of the curve given by the polar equation r = 2+3 sin(0) at the points (a) 0 = π; (b) 0 = ³″; (This is taken from page 727 No 64) 1) Calculate the slope and concavity of the following parametric function at the given t value. (a) x-t²+5t+4, y=4t, t=0; (b) x = √t, y= √t-1, t = 5; 2) Find the arclength of the curve given by x = √t, y = 3t-1,0 ≤ t ≤ 1. (This is taken from page 716 No 53 and answer is available on calcchat.com) 3) Find the slope of the curve given by the polar equation r = 2+3 sin(0) at the points (a) 0 = π; (b) 0 = ³″; (This is taken from page 727 No 64)