F(x, y) = (3 + 4xy2)i + 4x2yj, C is the arc of the hyperbola y = 1/x from (1, 1) to 2, 1 2 (a) Find a function f such that F = ∇f. f(x, y) = (b) Use part (a) to evaluate C F · dr along the given curve C.

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0

Click the arrows to advance or review slides. mapping carbohydrates to food carbohydrates (grams) 15 food (quantity) bread (1 slice) pasta (1/3 cup) apple (1 medium) mashed potatoes (1/2 cup) broccoli (1/2 cup) carrots (1/2 cup) milk (1 cup) yogurt (6 oz.) 12 12 is jennifer's relation a function? yes no f 1 of 2 → jennifer figure out the difference between a function and a relation by answering the questions about her food choices