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A curve has equation -2x^3 - x^2 + 20x . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

Lets think about what stationary points actually mean. A stationary point of a curve is where the gradient is equal to 0. Illustrate by plotting the graph of y = x^3.We know that by differentiating the eq...

Answered by Torty S. • Maths tutor

3694 Views

I'm confused about differentiation and integration, could you explain these to me?

Let's start with differentiation. Differentiation is the instantaneous rate of change. We differentiate functions to find their rate of change as a function of their input values, this is known as a funct...

Answered by Gabriel D. • Maths tutor

6278 Views

Rearrange the following to make 'm' the subject. 4(m - 2) = t(5m + 3)

The first step is to expand the brackets by multiplication. This can be done using the 'bird method'. This results in 4m – 8 = 5mt + 3tNow to collect all 'm' like terms of the equation on the LHS. This gi...

Answered by Taliesin C. • Maths tutor

4400 Views

Find the value of x which satisfies the following equation 3x^2 +6x+3 = 0

Factorise the equation: (3x+3)(x+1) = 0. Anything multiplied by 0 is equal to 0 therefore (x+1)=0 and (3x+3) = 0. Solve for x: if x+1 =0 you need to subtract 1 from x to work out what x is (do the opposi...

Answered by Aiysha S. • Maths tutor

3268 Views

Ayo is 7 years older than Hugo. Mel is twice as old as Ayo. The sum of their three ages is 77 Find the ratio of Hugo's age to Ayo's age to Mel's age.

Hugo = x Ayo = x + 7 (as he is 7 years old than Hugo's age) Mel = 2 multiplied by (x +7) as she is twice as old as Ayo2) If their ages combined equals 77, you add up all the algebraic equations and...

Answered by Jeenali S. • Maths tutor

5893 Views