(2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given by q= 60p+25+300 for 20s ps 100. (ii) Find the amount supplied when the price is $56. (ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.

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

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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A: Given Data: The total profit function is: Px=-x2+70x-470 ......1 The busted ghosts is: x=48

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Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: please see the attachment

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A: This question can be solved using rate of change of physical quantities.

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Q: The length l of a rectangle is decreasing at the rate of 2 cm/sec while the width w is increasing at…

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A: Question 3:

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Q: Suppose the constant rate of change y with respect to x is -2.5 and we know that y=-6.75 when x=1.5…

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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: The radius of a cylindrical tube is increasing at a rate of 2 meters per hour, and the height of the…

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Q: A rectangular sheet of metal has a length of 12 cm decreasing at a rate of 0.2 cm/s, and a width of…

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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

Q: b. One airplane is approaching an airport from the north at 206 km/hr. A second airplane approaches…

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Q: 6. Train E travels west toward Chicago station at 120 miles per hour while a second train N travels…

A: Train E =120 miles per hour  Train N=90 miles per hour

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A: Area of triangle = 12×b×h Where b is base and h is height . And height of the triangle is equal to…

Q: he measure of the angle subtended at

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Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

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A: Given: dSdt=4  cm/secdVdt|r=4 cm=?

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Q: 9. An airplane is flying at a constant altitude of 5km and speed of 300km per hour towards a radar…

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Q: ズ-1 f(x) = X + 3

A: given: f(x)=(x-1)/(x+3) x=4 delta(x)=8

Q: . The voltage,V, in a circuit is slowly dropping at a rate of -0.01 volt/sec as the battery wears…

A: I have appended the formula used in the solution part.

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Q: The number N of bacteria in a culture grewat a rate proportional to N. The value ofN was initially…

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Q: 9. One ship is approaching a port from the east, traveling west at 15 miles per hour, and is…

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Q: On a spring day the temperature in degrees Fahrenheit is given by ? = 50 + 1.2ℎ, where ℎ is the…

A: T = 50 + 1.2 h  .....(1) where h, is the number of hours since noon. h = 0T = 50 + 1.2(0)TInitial =…