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Bob sprints down a 100 metre track as fast as he can and as he arrives at the finish, a light gate cuts a timer that has been active since Bob began his sprint. It reads 12.45 seconds. calculate Bobs average speed during the sprint.

s=distance/time = 100/12.45 =8.03m/s

Answered by Richard W. • Maths tutor

2791 Views

f(x) = x^3 + 3x^2 + 5. Find f'(x) and f''(x).

With differentitaion you multiply the fatcor it's raised by and minus one from the order

e.g. y = x^n so y' = nx^(n-1)

So f'(x) = 3x^2 + 6x and f''(x) = 6x + 6

Answered by Nikita S. • Maths tutor

9432 Views

Solve the equation (2x + 3 / x - 4) - (2x - 8 / 2x + 1) = 1

Answer

To start off, we must find the common denominator between the two fractions.

When dealing with complex...

Answered by Jonathan B. • Maths tutor

11367 Views

What is the equation of the tangent to the circle (x-5)^2+(y-3)^2=9 at the points of intersection of the circle with the line 2x-y-1=0

Teh points of intersection can be found by subbing in y=2x-1 to the equation of the circle. (x-5)²+(2x-1-3)²=5x²-26x+33=9 so we have 5x²-26x+24=0. Solving the q...

Answered by Tutor67416 D. • Maths tutor

3421 Views

When do I use the product rule as opposed to the chain rule?

The product rule is used when two functions of x are multiplied by each other, hence, product. So this can be used to differnetiatate 3x²* x+1 or more complex functions like sinxcosx.

Th...

Answered by Lota U. • Maths tutor

3853 Views