(2) The number q of roller blades a firm is willing to sell per week at a price of Sp is given by q = 60,/p+25+300 for 20s ps100. dq (i) Find dp (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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Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

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A: The given situation is:

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Q: 2. A tank with a shape of a cone is 20 feet deep and has a diameter of 10 feet at the top. Water is…

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A: Question 3:

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Q: 3 of its radius. 4 Mohamad Salah poured orange juices into a cylindrical red tank whose height f the…

A: Topic:- application of derivatives

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A: Let X be the distance of man from lamppost .

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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: 2. The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is…

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Q: determine the instantaneous rate of change at x = 2 for f(x) = 5x2 + 3x + 7

A: Topic :- Differentiation

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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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A: Consider the provided information, y=25 feeth=4 feetdxdt=20

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

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A: