Lukas Arvidsson
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### Questions (101)

 7 How do I completely solve the equation $z^4 - 2z^3 + 9z^2 - 14z + 14 = 0$ where there is a root with the real part of $1$. 6 Why, given a natural number $n$, does $n^6$ always have the remainder of 1 when divided by 7? 5 Find the constant term in the development of $(2x^2 + \frac{1}{4x})^{99}$ 5 How to find the last digit of $37^{100}$ 5 What is the remainder when $x^{100} -8x^{99}+12x^{98}-3x^{10}+24x^{9}-36x^{8}+3x^{2}-29x + 41$ is divided by: $x^2-8x+12$.

### Reputation (1,018)

 +5 Understanding implication in logic truth tables (excerpt from textbook) +5 Why, given a natural number $n$, does $n^6$ always have the remainder of 1 when divided by 7? +5 Understanding Leibniz formula: $D^n (f g) = \sum\limits_{k=0}^{n} \binom{n}{k} D^{n-k}f D^kg$ +5 Define the image of the function $f(x)= 2 \arctan x + \arcsin \frac {2x}{1+x^2}$

 3 Solving matrices 0 Write the planes equation when given parametric form.

### Tags (26)

 3 matrices × 9 0 induction × 5 0 linear-algebra × 31 0 logic × 3 0 algebra-precalculus × 31 0 factoring × 3 0 calculus × 25 0 real-analysis × 2 0 complex-numbers × 8 0 limits × 2

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