Tag Archives: IB Math

Find the radius of the inscribed circle between a parabola and x axis

Posted on June 23, 2024 by Sumant Sumant
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Maximizing with ratio of slant height to radius

Posted on June 23, 2024 by Sumant Sumant

A cone has radius r and fixed slant height of s cm. Find the ratio s:r which maximizes the volume of the cone.

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Max profit when total cost and selling cost are given

Posted on June 23, 2024 by Sumant Sumant

The total cost of producing a blanket per day is pounds and for this production level each blanket may be sold for pounds. How many blankets should be produced per day to maximize the total profit?

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Related rate problem of a conical heap

Posted on June 23, 2024 by Sumant Sumant

Wheat runs from a hole in a silo at a constant rate and forms a conical heap whose base radius is treble it’s height After 1 minute the height of the heap is 20 cm. Find the rate at which … Continue reading →

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Best viewing angle (Regiomontanus problem)

Posted on June 10, 2024 by Sumant Sumant
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IB HL width of water surface inside a secant function channel

Posted on June 9, 2024 by Sumant Sumant

The equation that represents the boundary is given by Find the width of the water surface in the channel when the water depth is 10 cam.

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IB HL Integral with substitution

Posted on June 9, 2024 by Sumant Sumant

Let . Show that

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A simple question on Simple Interest

Posted on June 9, 2024 by Sumant Sumant

What amount invested now will grow $3500 in 8 months at 9% simple interest ?

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Compounds interest semi annual deposit for months

Posted on June 9, 2024 by Sumant Sumant

Beginning November 1, 1988 and ending May 1, 1994, semi annual depossits of $150 are made into account earning 11.75% /a a compounded semi annually. If the deposits remain untouched until November 1, 1998, what will be the amount in … Continue reading →

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Annuity and superannuation

Posted on June 9, 2024 by Sumant Sumant

Natalie’s family has decided that in three months they will start depositing $160 every 3 months for 3 years. The account will earn interest 5.7% /a, compounded quaterly. Then 3 months after the last deposit they plan to withdraw money … Continue reading →

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