10 Answered Questions for the topic IB

12/17/20

#### 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.

09/17/17

#### 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.

04/27/17

#### 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...
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04/06/15

#### 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...
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02/19/15

#### 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!

02/19/15

#### 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...
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01/26/15

#### Derivative

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?

01/25/15

#### Derivative

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?

10/29/14

#### 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...
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