Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.

  1. Identify that this is a rate of change question and set up the boundary conditions of V = 5 when t = 02) Take the dt to the right side and explain to integrate both sides of the equation to 'sum over all the tiny bits of time and tiny bits of V'3) Plug in the boundary conditions as a constant will drop out, and finally put t=4 into the formula. Write answer WITH UNITS.
Answered by Tommy W. Maths tutor

3048 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A curve has the equation y=12+3x^4. Find dy/dx.


Using Trigonometric Identities prove that [(tan^2x)(cosecx)]/sinx=sec^2x


Prove that, if 1 + 3x^2 + x^3 < (1+x)^3, then x>0


What is the derivative?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences