1. A wooden beam has a rectanguiar cross section of height h and width w. What are the dimensions of the strongest beam that can be cut from a round log of diameter d if the strength S of the beam is directly proportional to the width and the souare of the height?

Q: 1. The side of a cube decreases at a rate of 2.5m/s. Find the rate at which the surfacearea…

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Q: 1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

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Q: 1. a) Consider a cylinder with a radius of 5cm and a height of 12 cm. Find the change in the volume…

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Q: 1. The frequency of a vibrating string under constant tension is inversely proportional to its…

A: The answer is given as follows.

Q: Question 3 How much work is required to pump all the water from a right circular cylindrical tank,…

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A: Given: A mass of 1 slug is suspended from a spring constant is 9 lb/ft.The mass is initially…

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Q: A conical tank with 3 m height, and 1.2 m radius initially is filled with water. If the 34 mark…

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Q: (b) Use the given formulas for the volume and area (displayed above the diagram) to rewrite the…

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Q: appendix (8) ASK YOUR TEACHER   The speed of sound in air on a certain stormy day is about…

A: Sound in 1-second covers = 1130 feet in 5 seconds cover= (1130x5)= 5650 feet

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A: dy/dt = rate of moving of tip of shadow dp/dt = rate of change in length of shadow

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Q: QUESTION 1 You want to spray a fertilrer at 425 L/ha at a ground speed of 6 km/t, using regular flat…

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A: The given data is: A man 6 feet tall walks at a rate of 7 feet per second away from a light that is…

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Q: 1)A man 7 ft tall walks at a speed of 5 ft/sec toward a street lamp which is 15 ft above the ground.…

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Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A: Since there is no image for flow in the tanks, i use only the given equation with initial values.

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Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the…

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Q: Solve the following related rates problems. 3. A tank of water in the shape of a cone is being…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: