Solve the ODE by integration or by remembering a differentiation formula. \(y^{\prime}=4 e^{-x} \cos x\)

Introductory Chemistry 5
A lead fishing weight with a mass of 57 g absorbs 146 cal of heat. If its initial temperature is \(47\ ^{\circ}\mathrm{C}\), what is its final temperature? Equation Transcription: Text Transcription: 47

Introductory Chemistry 5
Determine the volume of 0.225 M KOH solution required to neutralize each sample of sulfuric acid. The neutralization reaction is: \(\mathrm {H_2SO_4}(aq)+2~\mathrm {KOH}(aq) \longrightarrow \mathrm{K_2SO_4}(aq)+2~\mathrm{H_2O}(l)\) (a) 45 mL of 0.225 M \(\mathrm {H_2SO_4}\) (b) 185 m

Mathematical Statistics with Applications 7
If and are independent events, show that and \(\bar{B}\) are also independent. Are \(\bar{A}\) and \(\bar{B}\) independent? Equation Transcription: Text Transcription: B bar A bar B bar

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

Myers' Psychology for AP 2
Which of the following best represents crystallized intelligence? a. Jake can solve math word problems quickly. b. Grandpa Milt is good at crossword puzzles. c. Aliyah has a knack for training dogs. d. Anna writes creative computer programs. e. Heng bakes excellent chocolate chip cookies.

Anatomy & Physiology 1
A substance dissociates into K+ and Cl in solution. The substance is a(n) ________. a. acid b. base c. salt d. buffer

Chemistry for today : general, organic, and biochemistry 9
Explain why geometric isomerism is not possible in alkynes.

Biochemistry 9
Suppose that a polymer of glucose with alternating \(\alpha(1 \rightarrow 4)\) and \(\beta(1 \rightarrow 4)\) glycosidic linkages has just been discovered. Draw a Haworth projection for a repeating tetramer (two repeating dimers) of such a polysaccharide. Would you expect this polymer to have primari