Carmen, after experiencing repeated disappointments from her social circle, develops a general mistrust towards new friendships and often feels anxious about forming new relationships. She seeks therapy to overcome these issues. Which type of therapy would help Carmen manage her mistrust and anxiety in social situations?

Copy the image below onto a piece of paper. Draw a boxplot of each of the sets of data.  Put the boxplots one on top of the other…stacked boxplots… so that you can easily compare the 2 sets of sample data.  In the answer box below, respond to the following questions using numbers: a) Where is the end of the left whisker for the height for sweet snacks? b) Where is the left side of the box for the height for sweet snacks? c) Where is the line down the middle of the box for the height for sweet snacks? d) Where is the right side of the box for the height for sweet snacks? e) Where is the end of the right whisker for the height for sweet snacks? f) Where is the end of the left whisker for the height for salty snacks? g) Where is the left side of the box for the height for salty snacks? h) Where is the line down the middle of the box for the height for salty snacks? j) Where is the right side of the box for the height for salty snacks? k) Where is the end of the right whisker for the height for salty snacks? m) Are there any other parts to the boxplots?  If so, what are they, and where are they located?

Find y’ where y=tan-1(ex+3).

Find dy/dx: x2y2+ey=x-2y.

Differentiate: y=2+2x+x2.

Find an equation of the tangent line to the curve y=3×2-1πtan(πx) at the point (1,3).

Differentiate: g(x)=3×2+61+x2.

Find the points on the curve y=2×4-4×2 where the tangent line is horizontal.

Mrs. Thompson, an 82-year-old woman with limited mobility, is considering options for long-term care. Her family wants her to maintain as much independence as possible while receiving help with daily tasks like bathing, dressing, and meal preparation. Which type of long-term care setting best fits her needs?

Mrs. Patel, age 69, was diagnosed with pancreatic cancer. For months, she maintains her usual activities, attending social events and volunteering. However, over the last few weeks, her health declines sharply and rapidly. Which dying trajectory does Mrs. Patel’s experience most closely represent?