10 Answered Questions for the topic IB


Finding the rate of change of the surface area of a cube given volume

the volume V of a cube increases at a rate of 4 cm3sec-1. Find the rate of change of the surface area of the cube at the instant when the volume of the cube is 8 cm3.

in the expansion of (3x+1)^n, the coefficient of the term in x^2 is 135n, where n E Z+. Find n.

I don't have any idea how to do this! i know how to do binomial theorem but not this. I live in the US and taking Ib sl 2 math as a junior.

Application of differentiation

The velocity v m s –1 of a particle at time t seconds, is given by v = 2t + cos2t, for 0 ≤ t ≤ 2. (a) Write down the velocity of the particle when t = 0.   When t = k, the acceleration is... more

Geometric Sequence Common Ratio

The third term of a geometric sequence is 12 and the fifth term is 16/3. All the terms in the sequence are positive. Calculate the value of the common ratio.   Can someone please guide me through... more

Writing equations for lines...

Write an equation for the line tangent to the curve f(x) = 4ex - 7 at x = ln 3   Could someone please explain how I might go about answering this question? Thank you!

Derivatives of ex and ln x

An example in my textbook goes as follows: f(x)=ln e3x     = 3x f'(x) = 3   I understand that the derivative of 3x is 3, that the derivative of ex is ex, ,and that the derivative of ln x is 1... more


Find the derivative of f(x) = x2e–x I've managed some of the question but am having trouble finishing it. Can someone please explain?


Find the derivative of f(x)=xsquared(2x-3)to power of 4   sorry i couldn't write the powers out on my phone. Can someone please explain the question?

IB Maths Inverse Functions Explanation

In an example question in my textbook that asks for the inverse of f(x) = 4 - 3x the answer goes as follows:   y=4-3x x=4-3y x-4=-3y x-f/-3 = y y=4-x/3   I do not understand how x-f/-3 = y... more


Log2 x = logx 2

Logbase2 of x = logbasex of 2    

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