Question

1.20 Which of the following products are properly defined and which are not? Explain why. (a and b are scalars, and A,B, and C are vectors.)

a) abA × C

b) A × C × B

c) B ⋅ C × A

d) (A × B) ⋅ A

e) aB ⋅ C

f) (aB × bA)

Answer #1

Which of the following would lead to higher yields of pure
products? Explain why or why not for each.
a) Try to form crystals as fast as possible.
b) Try to form crystals as slowly as possible.
c) Use hot solvent to rinse crystals in Buchner funnel.
d) Use cold solvent to rinse crystals in Buchner funnel.
e) Use a mixed solvent of two immiscible liquids.
f) Use a mixed solvent of two miscible liquids.
g) Use enough solvent to...

Which of the following pairs of compounds form a solution?
Explain why or why not
a. H2O and C5H12
b. CaCl2 and H2O
c. KCl and CCl4
d. 1-propanol (C3H8O) and H2O
e. Cyclodecanone (C10H18O) and H2O
f. Pentane (C5H12) and Hexane (C6H14)

Select all statements below which are true for all invertible
n×n matrices A and B
A. AB=BA
B. (A+B)^2=A^2+B^2+2AB
C. (In−A)(In+A)=In−A^2
D. 7A is invertible
E. (AB)^−1=A^−1*B^−1
F. A+A^−1 is invertible

Which of the following are one-to-one, onto, or both?
a. f : Q → Q defined by f(x) = x3 + x.
b. f : S → S defined by f(x) = 5x + 3.
c. f : S → S defined by:
?(?) = {
? + 1 ?? ? ≥ 0
? − 1 ?? ? < 0 ??? ? ≠ −10
? ?? ? = −10
d. f : N → N × N defined by f(n)...

Which one of the following is a correct formation reaction that
properly defines a delta Hf value?
The answer is 1/2N2(g) + 2O2 = NO2(g) Please explain. I'm having
a hard time understand this question.
The other answer options is
b) N2(g) + 2O2(g) = 2NO2
c) H2(g) + O(g) = H2O
d) 3H(g) + N(g) = NH3(g)
e) 2NH(g) = 3H2(g) + N2
I also don't understand why it's not the other options.

How many permutations of the letters a, b, c, d, e, f, g, h have
a next to b (in either order: ab or ba) and c not next to d?

For an n×n matrix, A, the trace of A is defined as the sum of
the entries on the main diagonal. That is, tr(A)=a11+a22+?+ann.
(a) Prove that for any matrices A and B having the same size,
tr(A+B)=tr(A)+tr(B) and for any scalar c, tr(cA)=ctr(A)
(b) Prove tr(A)=tr(AT) for all square matrices A.
(c) Prove that for any matrices A and B having the same size,
tr(AB)=tr(BA).
(d) Using (c), prove that if A and B are similar
tr(A)=tr(B).

1.For which of the following products would a large manufacturer
most likely use a push strategy? a. breakfast cereals b.
minicomputers c. dishwashing detergent d. women's hosiery
2.In which stage of the product life cycle would pioneering
advertising be most likely to appear? a. growth b. maturity c.
culmination d. introductory e. decline
3The ______ of an ad is defined as all the written or spoken
material in it. a. layout b. copy c. feedback d. message

4. Which type of market structure do you think the following
products are in (and why): a. Haircuts and salon services. b. New
home construction. c. Shampoo. d. Internet services.

Simplify the following expression written in sum-of-products
(SOP) form and present it in product-of-sums (POS) form: ¯AB C D +
¯AB C ¯ D + A ¯ B ¯ C ¯ D + A ¯ B ¯C D

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