652019 hw11s34

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6/5/2019 hw11S3.4 3. 3/3 points | Previous Answers SCalcET8 3.4.504.XP. Find the derivative of the function. 4. 1/2 points | Previous Answers SCalcET8 3.4.518.XP. Find Enhanced Feedback Please try again using a combination of the Product Rule and the Chain Rule. 5. 3/3 points | Previous Answers SCalcET8 3.4.519.XP. Find an equation of the tangent line to the curve at the given point. y = e α x sin( β x ) y' = \$\$ eaxβcos ( βx )+ αsin ( βx ) eax y'' = \$\$ eαx ( α 2 sin ( βx )+2 αβcos ( βx )− β 2 sin ( βx )) y = (1 + 3 x ) 11 , (0, 1)
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6/5/2019 hw11S3.4 6. 5/5 points | Previous Answers The length of some fish are modeled by a von Bertalanffy growth function. For Pacific halibut, this function has the form L ( t ) = 200(1 – 0.956 e –0.18 t ) where L(t) is the length (in centimeters) of a fish t years old. (a) Find the rate of change of the length as a function of time
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(b) In this part, give you answer to the nearest unit. At what rate is the fish growing at age:
(c) When will the fish be growing at a rate of 6 cm/yr? (nearest unit)
6/5/2019 hw11S3.4 4/10 7. 9/9 points | Previous Answers The location of an object moving along the number line at time t seconds is given by where t is assumed to be non­negative. (a) Calculate the limit; enter the number, ­infinity, infinity or DNE (does not exist): . (b) The average velocity on the time interval [pi/2,pi] is \$\$80077π .
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