Question

11. (5 pts) The area of a triangle of height h and base length b is A bh/2. The differential of the area is: 2 2 (a) A change in the length of the base is denoted: (circle the correct answer) dA db dh (b) If the area is held constant, then: (circle the correct answer) dA <0 dA>0 (c) If the height decreases by half a unit, what is the value of dh? dh- ) For a triangle with height h 2cm and base length b 20cm, the differential of area is: dA (e) Suppose you want to manufacture triangles with height h 2cm, base length b 20cm and area 20cm2. Which one of the following statements is true? I. An error in measuring the height will have a larger impact on the area than an equiv- alent error in measuring the base length. II. An error in measuring the base length will have a larger impact on the area than an equivalent error in measuring the height. III. An error in measuring the height will have exactly the same impact on the area as an equivalent error in measuring the base length. IV. There is no way to determine which dimension has a greater impact on volume.

Answer 1

A bkh 2 2 (a charge in the Rength of baje y db Veo Constant tem yoro. then option c