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Without expanding any brackets work out the exact solutions of 9(x+3)^2=4

Divide through by 9 giving:(x+3) 2 = 4/9 Square root both sides remembering a square root is plus or minus the answer x+3 = +/-sqrt(4/9) sqrt(4/9)=2/3for the first solution x+3 = 2/3 or x = -7/3for the secon...
TB
Answered by Thomas B. • Maths tutor
13539 Views

A ball is thrown in the air. The height of the ball at time t is given by: h=5+4t-2t^2. What is its maximum height? At what time does the ball reach this height?

First, we find the derivative of h: dh/dt= 4-4t. To find the point(s) of interest, we solve dh/dt=0. This gives the answer t=1. In order to determine whether t=1 is a minimum point or maximum point we find t...
DS
Answered by Debbie S. • Maths tutor
5642 Views

Expand the brackets: (3a+3)(a+4)

To expand this, we must multiply each term in both brackets separately and then add all of these terms together. First, multiply the first term in each of the brackets: 3a x a = 3a^2. Next multiply the first...
LB
Answered by Luke B. • Maths tutor
5212 Views

Solve 2x+1=11

When faced with a question like this, the aim is to work out the value of "x". What this question basically means is "what number can we multiply by 2 and add 1 onto it to get 11. There a few ...
MI
Answered by Molly I. • Maths tutor
9223 Views

How do I know when to integrate using by parts or by substitution?

When integrating a function which can be defined as a combination of two functions, it can be difficult to tell whether or not to use by parts. We can spot when to use by parts if we look at the composite fu...
EK
Answered by Eesa K. • Maths tutor
3543 Views