y 4 -6 |-4 -2 4 -2 -4

Q: 3000 If the function r(t) = 1+1 gives the number of rabbits on a farm after t months, how many…

A:

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A: Topic:- application of derivatives

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A:

Q: During which interval of time is the speed the greatest? 个a (m) 10 9 8. 6. 2. 1 7. 9. 10 2 (5)…

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A: Given that: Graph of velocity

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A: The complete solution is in given below

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Q: On Earth, a ball is thrown into the air with an initial velocity of 10 ft/s, its height in feet ?…

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Q: . . A ball is dropped from certain height, its position at time t is s(t) = –3t2 + 75 find the time…

A: s(t) =-3t2 +75

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A: Given height  H(t) = 60.t-16t2 dH/dt= 30feet/sec  We have to find the time when the body is…

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A: Draw a schematic diagram of given figure.

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Q: If an archer shoots an arrow straight upward with an initial velocity of 128​ft/sec from a height of…

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Q: When x 8, the rate at which x is incereasing is times the rate at which x is increasing. What is the…

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Q: b) An object is thrown upward and its height h(t) in meters after 1 seconds is given by h(t) = 1+ 41…

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t3 + 9t? – 30t + 5…

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Q: The graph shows the height h (in ft) of a roller coaster t seconds after the ride starts. Height vs.…

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Q: x² 83616x Vind resistance, measured in Newtons, is modeled by f(x) == + 1060, where 650 < x < 3700…

A: Solution:- differentiate w.r.t to x

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Q: b. Write an expression for the distance of the person from the light pole, measured in meters, in…

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Q: s= -16 t 2 +80 t

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Q: 2. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

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A: SOLUTION-

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A: Given - f(x) = 4x^2 - 6                [ 3 , 6 ] ∆y/∆t =[ f(X2) - f(X1) ] / ( x2 - X1)

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A: Given that s = 160t - 16t2,  and we have to find the interval of t when s is greater than 384.

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Q: To create a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500…

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A:

Q: a) Express the mathematical function between the variables h and r shown in the figure. b) How fast…

A: The water drains from the conical tank at a rate of 0.2 m3 per minute. Let consider at any instant…