Compute the definite integral:

∫13‍(2x+1) dx

Given the complex number z=2i, find its magnitude (absolute value).

Consider a vector v=4-21. Find a unit vector u in the same direction as v.

Solve the linear programming problem: Minimize

subject to the constraints:

What is the minimum value of

?

Identify the logical equivalence of the following expressions: (p⇒q)∧(¬p∨q)

Consider two vectors u=231 and v=-124. Find the dot product u⋅v.

Consider three vectors p=10-2, q=2-13, and r=-314. Which of the following expressions represents the cross product p×q×r?

Given the complex numbers z1=3+4i and z2=1-2i, compute z1+z2.

Let a=3-12 and b=-124 be two vectors. Determine the angle θ between a and b.

Find the sum of the first 20 terms of the arithmetic sequence: 2, 6, 10, 14, ...