If A and B are convex sets, prove that A + B is convex.

Physics with MasteringPhysics 4
Playing shortstop, you pick up a ground ball and throw it to second base. The ball is thrown horizontally, with a speed of 22 m/s, directly toward point A (Figure 413). When the ball reaches the second baseman 0.45 s later, it is caught at point B. (a) How far were you from the second baseman? (b) Wh

Principles of General Chemistry 2
Chromium(III) oxide reacts with hydrogen sulfide (\(\mathrm{H}_{2} \mathrm{~S}\)) gas to form chromium(III) sulfide and water: \(\mathrm{Cr}_{2} \mathrm{O}_{3}(\mathrm{~s})+3 \mathrm{H}_{2} \mathrm{~S}(\mathrm{~g}) \rightarrow \mathrm{Cr}_{2} \mathrm{~S}_{3}(\mathrm{~s})+3 \mathrm{H}_{2} \mathrm{O}

Anatomy & Physiology 1
Differentiated cells in a developing embryo derive from ________. a. endothelium, mesothelium, and epithelium b. ectoderm, mesoderm, and endoderm c. connective tissue, epithelial tissue, and muscle tissue d. epidermis, mesoderm, and endothelium

Anatomy & Physiology 1
In adults, new connective tissue cells originate from the ________. a. mesoderm b. mesenchyme c. ectoderm d. endoderm

Calculus: Early Transcendentals 9
A rechargeable battery is plugged into a charger. The graph shows C(t), the percentage of full capacity that the battery reaches as a function of time t elapsed (in hours). (a) What is the meaning of the derivative C(t)? (b) Sketch the graph of C(t). What does the graph tell you?

Urban Economics 8
In the analysis of limits on building permits illustrated by Figure 95 , the price of housing increases while the price of land decreases. In other words, housing and land prices change in opposite directions. a. Housing and land prices change in opposite directions because the policy _____ in the ho

Chemistry for today : general, organic, and biochemistry 9
Write a formula for the conjugate base formed when each of the following behaves as a Brnsted acid: a. \(\mathrm{HSO}_{4}^{-}\) b. \(\mathrm{CH}_{3} \mathrm{NH}_{3}{ }^{+}\) c. \(\mathrm{HClO}_{4}\) d. \(\mathrm{NH}_{4}{ }^{+}\) e. HCl

Introductory Chemistry: A Foundation 9
A solution is a homogeneous mixture and, unlike a compound, has _____ composition.