Emma is trying to hang a picture on her wall, but she realizes she doesn’t have a hammer. She sees several objects around her room: a heavy book, a wrench, a pair of scissors, and a shoe. Despite having these objects, she feels stuck and decides to wait until she can buy a hammer. Which two cognitive obstacles best describe Emma’s difficulty in finding an alternative way to complete the task?

An individual is choosing a number for a drawing. When the numbers are read, the individual’s friend says, “I knew you should have chosen that number. I knew it would be the right one.” What is this friend engaging in?

A toddler undergoes toilet training. After a week of staying dry overnight, the toddler experiences self-control and feels confident. In the context of Erikson’s psychosocial development stages, the toddler is in the ________ stage.

Prenatal development occurs in three distinct periods. The __________ period lasts from conception to about two weeks, during which the fertilized egg undergoes rapid cell division and implantation in the uterus. The __________ period spans from the third week to the end of the eighth week, during which major organs and body systems begin to form. The __________ period extends from the ninth week until birth, characterized by significant growth and maturation of the developing fetus.

Kumar is interested in observing changes in the intelligence levels of teenagers in the neighborhood. He wants to assess their verbal and reasoning skills as they progress through their teenage years. In this case, Kumar is interested in exploring the ________ processes involved in developmental psychology.

Use Lagrange multipliers to find the maximum value of where and subject to the constraint .​

In the context of Piaget’s stages of cognitive development, ________ are mental representations of changes that are reversible.

Find a unit normal vector to the surface  at the point

Find an equation of the tangent plane to the surface  at the point

Examine the function for relative extrema.​