Math Test Grade 1: step up

Practice questions

1. Which is the value of (1+i)^4?

   • 4i
   • -4
   • -4i
   • 4

2. Which is the determinant det(A⁻¹) of the inverse matrix A⁻¹ of A=[[1,2],[3,4]]?

   • -2
   • 2
   • −1/2
   • 1

3. What is the equation of the tangent line to y=x³-3x²+2 at x=1?

   • y=3x-3
   • y=-3x+3
   • y=-3x-3
   • y=3x+3

4. What is the value of lim(n→∞)(3ⁿ+1)/(3ⁿ+2ⁿ)?

   • 1/2
   • 0
   • 1
   • 2

5. If the random variable X has E(X)=5 and V(X)=9, what is the standard deviation σ(X)?

   • 5
   • 9
   • 3
   • 4