For an average person, the rate of change of weight W (in pounds) with respect to height h (in inches) is given approximately by the following formula. dW = 0.0015h2 dh Find W(h) if W(80) = 256 pounds. Also, find the weight of a person who is 5 feet, 4 inches tall.

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A: given,                If a person's temperature after x hours of strenuous…

Q: If a person's temperature after x hours of strenuous exercise is T(x) = x3(7 x2) + 98.6 degrees…

A:

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A: The​ cost, in​ dollars, of producing x belts is given by c(x) = 730 + 36x - 0.064x2

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Q: If ,f(x) = 19x2 − x3, what is the rate of change of f '(x) at (2, 68)?

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Q: 3. Suppose that the water level of a river is 50 feet and that it is receding at a rate of 0.75 foot…

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Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height…

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Q: For the given function, find the instantaneous rate of change at x= 4 Y=(x^2-2) (x^2 -6x +6)

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Q: If x + y represents a motorboat's rate with the current, in miles per hour, its distance after 4…

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Q: If y = 42x2 – 7x³ + x, what is the rate of change of y' at (1, 36)? Need Help? Read It

A: Rate of change of the function

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Q: Where k is constant. If the temperature is increasing at 4 kelvins per hour, what is the rate of…

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Q: Suppose the value of yy and the value of xx vary together at a constant rate of change (so that…

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A: Given information

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A: Rate of the average cost of change = (change in output)/(change in input) = dy/dx…

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units, (40 < x< 60) where x is the…

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Q: If a person's temperature after x hours of strenuous exercise is T(x) = x³ (7- x²) + 98.6 degrees…

A: We have to calculate the rate of change after 1 hours

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 720…

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Q: Find the average rate of change of g (x) = 2x-9 from x=9 to x= 13. Simplify your answer as much as…

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Q: For the curve y = 5x – 2x3, if x .6 increases at the rate of 2 units/s, then find the rate of change…

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Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x…

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Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

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Q: Given the function f(x)=4^x-2 , explain and show how to find the average rate of change between x=2…

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Q: A5.5-foot-tall woman walks at 4 ft/s toward a street light that is 16,5 ft above the ground, What is…

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Q: Given the model y=3.2(2.4)^x, what is its rate of change?

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Q: A bucket that weighs 3 lb and a rope of negligible weight are used to draw water from a well thatís…

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Q: In 10 minutes, the body cools from 75 to 55 degree Celsius when temperature of the surrounding is 31…

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Q: Find the average rate of change of g (x) = 2x²-9x from x=2 to x = 6. Simplify your answer as much as…

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Q: a drug concentration curve is given by C(t)= 20te^-0.2t, which C in mg/ml and t in minutes. What is…

A: A drug cocentration curve isC(t)=20te-0.2tTo find the rate of concentration. We have to…

Q: A stuntman estimates the time T, in seconds, for him to fall x meters, 15. is T(x) = 0.54Vx. Find…

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Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.