Math Test Grade 1: 5-question challenge

Practice questions

1. Which is the value of ∫₀¹ x² dx?

   • 1/4
   • 1
   • 1/3
   • 1/2

2. By De Moivre's theorem, which is (cosθ+i sinθ)^n?

   • cos(nθ)+i sin(nθ)
   • n cosθ + n i sinθ
   • n(cosθ+i sinθ)
   • cosnθ - i sinnθ

3. Which figure does |z-1| = 2 represent in the complex plane?

   • A circle centered at the origin
   • A circle with center (1,0) and radius 2
   • A line
   • A parabola

4. What is the derivative of y=e^(2x)?

   • e^x
   • 2xe^(2x)
   • e^(2x)
   • 2e^(2x)

5. What is the value of lim(x→0)(e^x - 1)/x?

   • 1/e
   • 1
   • 0
   • e