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Questions and Answers
What is the differentiation of $y = 4x^2$ using logarithmic differentiation?
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 $1 + 3i$?
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?
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 $z_2 = 3 - 2i$?
What is the sum of the complex numbers $z_1 = 6 + i$ and $z_2 = 3 - 2i$?
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If $z = x + iy$, what is the equation of the locus of $z$ if $z - 1 = z + 2i$?
If $z = x + iy$, what is the equation of the locus of $z$ if $z - 1 = z + 2i$?
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