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Advanced Higher Mathematics October Revision Quiz

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Advanced Higher Mathematics October Revision Quiz

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Questions and Answers

What is the differentiation of $y = 4x^2$ using logarithmic differentiation?

$8x$ (correct)

$4x$

$16x$

$2x$

What is the polar form of the complex number $1 + 3i$?

$2 ext{cis}(rac{ heta}{3})$ (correct)

$ ext{cis}(rac{ heta}{2})$

$ ext{cis}( heta)$

$3( ext{cis}(rac{ heta}{3})$

Which function is odd?

$f(x) = x ext{cos}(x) + ext{sin}(x)$ (correct)

$f(x) = -x^3 ext{sin}(x)$

$f(x) = x^4 + ext{sin}(x) ext{tan}(x)$

None of the above

What is the sum of the complex numbers $z_1 = 6 + i$ and $z_2 = 3 - 2i$?

<p>$9 + i$</p> Signup and view all the answers

If $z = x + iy$, what is the equation of the locus of $z$ if $z - 1 = z + 2i$?

<p>Line</p> Signup and view all the answers

Advanced Higher Mathematics October Revision Quiz

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Questions and Answers

What is the differentiation of $y = 4x^2$ using logarithmic differentiation?

What is the polar form of the complex number $1 + 3i$?

Which function is odd?

What is the sum of the complex numbers $z_1 = 6 + i$ and $z_2 = 3 - 2i$?

If $z = x + iy$, what is the equation of the locus of $z$ if $z - 1 = z + 2i$?

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