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Differentiate cos(2x)/(x) with respect to x

-cos(2x)/(x 2 ) - 2sin(2x)/(x)
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Answered by Marcus S. • Maths tutor
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If z is a complex number, solve the equation (z+i)* = 2iz+1 where the star (*) denotes the complex conjugate.

For questions like these it's easier to first rewrite z as z=x+iy. Once we plug this back into the original equation we get x-iy-i = 2ix-2y+1 Rearranging both sides to group together the real and imaginary t...
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Answered by Aysha A. • Maths tutor
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How can I best use the most challenging aspects of German grammar to improve my spoken and written work?

If you have an excuse to use fancy grammar, use it! You must read through your work with a critical eye, or think critically before beginning a task, and work out how you can best formulate sentences to show...
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Answered by Patrick N. • German tutor
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What is the difference between pragmatics and semantics?

Semantics refers to meaning, whereas pragmatics refers the deeper inferred meaning. For example, if I were to ask you a simple question such as, “Would you like a cup of coffee?”, the semantic meaning of tha...
LP
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A cable with a diameter of 6mm is used to lift crate. Calculate the mass of the crate required to create a stress of 350 MPa.

Let's begin with the definition of stress: Stress = F/A First, we need to recall that the force the weight of the crate will exert on the cable will be equal to: F= m*g We know the stress, g and A. Combining...
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Answered by Abdel D. • Physics tutor
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