Compute the sum of the series∑n=2∞1n-1n+1 \sum_{n=2}^{\infty} \left(\frac{1}{\sqrt n} – \frac{1}{\sqrt {n+1}} \right)

If a square matrix A is invertible, which of the following must be true?

Which of the following statements about matrix multiplication is true?

If a matrix is row equivalent to the identity matrix, it is invertible.

Show that W=abab:a,b∈R W = \left \{\begin{bmatrix} a & b \\ a & b \end{bmatrix}: a, b\in \mathbb R \right \} is a subspace of M2×2M_{2 \times 2}

Given the system of equationsx1+2×2+x3=1 x_1+2x_2+x_3 =1 x1+x2-2×3=1x_1+x_2-2x_3 =1 x2+2×3=1x_2+2x_3 = 1 Solve the system of equations by using the augmented matrix.

A 7-year-old child is admitted with a closed mid-shaft femur fracture and has just had a long leg cast applied. During the first post-casting assessment, the nurse notes the following: Toes are pale and cool to touch Capillary refill in toes is >4 seconds The child reports increasing pain unrelieved by analgesics The cast is dry, intact, and elevated on pillows   What is the nurse’s priority action?

This is a video art piece by artist Jillian Mayer titled “Day Off.”Some common Art World themes are listed below. Which these Art World theme(s) would you say this piece falls into? (It may fall into multiple themes.) Explain your reasoning for why you think it falls into the(se) theme(s).  Identity  Surveillance Domestic Spaces Political Gonzo Social Interaction or Social Experimentation Sub-Cultures the Human Condition (death, mortality, and generally making sense of what it means to be human: what unites us, why we are here) Human Interaction with Technology (aka the “cyborg” or “post-human” experience) Consumer Culture Family or Relationships Memory Science or Scientific Inquiry Alternative Data Visualization or Data Organization

Considering Marcel Duchamp’s L.H.O.O.Q., which of the core issues should cause you to believe that no, this is not a work of art vs. which of the core issues should lead you to believe that yes, this is indeed a work of art. (5 pts) For each of the core issues, explain WHY each issue would lead you to believe that it is or is not art. (5 pts)

Today, “Art” is an umbrella term that is divided into 3 categories. What are the 3 sub-categories of art?