Give a basis for the orthogonal complement of each of the following subspaces of R4. a

Conceptual Physics 12
Problem 9E If Earth were smaller than it is, but the Alexandria-to-Syene distance were the same, would the shadow of the vertical pillar in Alexandria be longer or shorter at noon during the summer solstice?

Introductory Chemistry 5
Calculate the mass percent composition of each element in each compound. (a) \(\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2}\) (b) \(\mathrm{CH}_{2} \mathrm{O}_{2}\) (c) \(\mathrm{C}_{3} \mathrm{H}_{9} \mathrm{~N}\) (d) \(\mathrm{C}_{4} \mathrm{H}_{12} \mathrm{~N}_{2}\)

Introductory Chemistry 5
Is each chemical equation correctly balanced? If not, correct it. (a) \(R b(s)+\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \rightarrow \mathrm{RbOH}(a q)+\mathrm{H}_{2}(g)\) (b) \(2 \mathrm{~N}_{2} \mathrm{H}_{4}(g)+\mathrm{N}_{2} \mathrm{O}_{4}(g) \rightarrow 3 \mathrm{~N}_{2}(g)+4 \mathrm{H}_{2}

Probability and Statistical Inference 9
Nicol (see References) lets the pdf of \(X\) be defined by \(f(x)= \begin{cases}x, & 0 \leq x \leq 1 \\ c / x^{3}, & 1 \leq x<\infty \\ 0, & \text { elsewhere }\end{cases}\) Find (a) The value of \(c\) so that \(f(x)\) is a pdf. (b) The mean of \(X\) (if it exists). (c) The variance of \(

Physics: Principles with Applications 6
Problem 51P (a) Compare the shift in frequency if a 2000-Hz source is moving toward you at 15 m/s, versus you moving toward it at 15 m/s. Are the two frequencies exactly the same? Are they close? (b) Repeat the calculation for 150 m/s and then again (c) for 300 m/s. What can you conclude about the

Biology 8
Cellular respiration uses glucose and oxygen, which have high levels offree energy, and releases CO2 and water, which have low levels of free energy. Is respiration spontaneous or not? Is it exergonic or endergonic? \Vhat happens to the energy released from glucose?

Anatomy & Physiology 1
The cell membrane of a muscle fiber is called ________. a. myofibril b. sarcolemma c. sarcoplasm d. myofilament

Principles of Economics 9
Barney runs a small manufacturing company. He pays his employees about twice as much as other firms in the area, even though he could pay less and still recruit all the workers he needs. He believes that higher wages make his workers more loyal and hard-working. This is an example of a. a compensatin