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 = 0.0015h? dh Find W(h) if W(80) = 256 pounds. Also, find the weight of a person who is 5 feet, 4 inches tallI. N(h) =

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

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:

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

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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: A 6-foot-tall woman walks at 7 ft/s toward a street light that is 30 ft above the ground. What is…

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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: For a certain animal, the surface area S of the body is related to the body's weight W according toS…

A: The surface area S of the body is related to the body's weight W according to S is:

Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate…

A: fx=x23fx+h=x+h23At x=8f8+h=8+h23f8=823=23×23=4

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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 f(x) = 12x2 - x', what is the rate of change of f'(x) at (2, 40)? %3D Need Help? Watch It

A: Rate of change of f'(x)

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

Q: Find the average rate of change of h (x) = 2x² – 7x from x = 3 to r = 6. Simplify your answer as…

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

A:

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

A: Given that the monthly output at the Olek Carpet Mill is

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Q: The rate of change of the temperature of a building is 7° /hr when the temperature is 12°. What is…

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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: If g'(x) is the rate of growth of a giant redwood tree in feet per year, what does (see picture)…

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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: If f(x) = 5x2 − x3, what is the rate of change of f '(x) at (2, 12)?

A: To calculate the rate at which the given function changes at the given point

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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…

A: The  average rate of change of function f(x) from the point x=a to x=b is given by:-    (f(b) -…

Q: If f (x) = x + 3x2, find the average rate of change from, x- -2 to x = 2.

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Q: Find the average rate of change of g (x) = 2x - 8x 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: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x…

A: Given that the monthly output is Qx=15,000+2x2 units, where x is the number of workers. Find Q'52.

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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.