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A curve with equation y=f(x) passes through the point (1, 4/3). Given that f'(x) = x^3 + 2*x^0.5 + 8, find f(x).

We know that f'(x) = x^3 + 2*x^0.5 + 8, and we can integrate both sides. This gives us f(x) = (1/4)*x^4 + (4/3)x^(3/2) + 8x + c, remembering to add the constant of integration. Now, we are almost...

GC
Answered by George C. Maths tutor
6788 Views

What is the difference between the Parasympathetic Nervous System and the Sympathetic Nervous System?

The Nervous System can be split into three central pathways.The SNS and PNS are part of the Autonomic Nervous System, the autonomic nervous system is responsible for the involuntary actions of the human b...

VR
9579 Views

How do I analyse a poem?

There are 3 ways to attack analysing a poem in an exam question. The first way to do so is to look at form. Is it regular? Or is it changing? How does the form relate to the content? Is there a constant r...

TD
2343 Views

No matter how much my teachers or textbooks explain the subjunctive mood, I still get it wrong and I don't really understand. Why?

English grammar and Spanish grammar are, relatively, quite similar, so it comes as a shock when we see something totally alien to us, the notorious subjunctive. Put simply, there are some situations, whe...

HP
Answered by Hamish P. Spanish tutor
1732 Views

Find the integral of 4x^2 - 10x + 1/(x^(1/2)), with respect to x, in its simplest form.

= (4/3)x3 - (10/2)x2 + x1/2/(1/2) + C = (4/3)x3 - 5x2 + 2x1/2 + C

AA
Answered by Aisha A. Maths tutor
3735 Views

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