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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

5950 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

8407 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

5398 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

7884 Views

Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.

Please refer to the link below as I found it very difficult to demonstrate the answer and couldn't seem to access the whiteboard function.file:///C:/Users/exr854/OneDrive%20-%20University%20of%20Birmingha...

Answered by Ethan R. • Maths tutor

3095 Views