Entries by Hannah Wangui

Intermediate Value Theorem

Question Use the Intermediate Value Theorem to show that the equation f (x) =-2 has at least one solution, if f(x)=x^3 -2x^2+3x   Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code “Newclient”

 

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An inverted conical tank with a diameter of 40 cm and a height of 60 cm has been filled with water

Question An inverted conical tank with a diameter of 40 cm and a height of 60 cm has been filled with water. However, due to a hole at the tip of the cone, the water is leaking out of the tank at a rate of 0.2 liters per minute. How fast is the water level changing when […]

 

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An 80-m wide river runs in a straight line from west to east through a city

Question An 80-m wide river runs in a straight line from west to east through a city. Ann lives on the north bank of the river. Bob lives on the south bank. Every morning Ann bikes east to work,while Bob walks west to school. This morning Bob was walking at 2 m/s. What was Ann’sbiking […]

 

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speed

Question .At night, somewhere in South Africa, Timon the meerkat crosses a road. A truck approaches at a constant speed of 15 m/s and the headlights catch Timon in the middle of the road. Timonfreezes while the truck gets closer and closer. How fast is the length of Timon’s shadow changing? Timon is 20 cm tall […]

 

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