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Given ∫4x^3+4e^2x+k intergrated between the bounds of 3 and 0 equals 2(46+e^6). Find k.

Sorry I couldn't write the question properly in the question box. The question should read:Given ∫³₀4x³+4e^2x+k dx = 2(46+e⁶)Find K.Step 1- Intergrate...

Answered by Charlie M. • Maths tutor

6056 Views

Find the x value of the stationary points of the graph y = x^2e^x

The problem here can be solved quite easily by thinking about the graph. A stationary point occurs on a graph when it becomes 'flat'. You can think of this visually as the top of a hill or the bottom of a...

Answered by Serkan M. • Maths tutor

8654 Views

The Curve C has equation y = 3x^4 - 8x^3 -3. Find the first and second derivative w.r.t x and verify that y has a stationary point when x = 2. Determine the nature of this stationary point, giving a reason for your answer.

The first derivative is otherwise denoted by dy/dx.dy/dx = 12x^3 -24x^2.The second derivative is denoted by d²y/dx², otherwise known as the first derivative of the function dy/dx.d

Answered by Jemisha B. • Maths tutor

5523 Views

given y = x^2 - 7x + 5, find dy/dx from first principles

using the delta method for first principles derivation:
Define the differential: dy/dx = limit as h -> 0 f(x+h) - f(x)/h where f(x) = ysubstitute the equation into the differential: dy/dx = (x+h)...

Answered by Dafydd B. • Maths tutor

8145 Views

All tickets for a concert are the same price. Amy and Dan pay £63 for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?

We start to work with this question by underlining the most important information it provides us:All tickets for a concert are the same price.Amy and Dan pay £63 for some ti...

Answered by Soma F. • Maths tutor

1580 Views