VOCABULARY
What does the phrasal verb "draw out" mean?
CHEMISTRY
Use MO diagrams to place B2+, B2, and B2- in order of (a) decreasing bond energy; (b) decreasing bond length.
LINEAR ALGEBRA
Solve the linear systems together by reducing the appropriate augmented matrix. 4x1 - 7x2 = b1, x1 + 2x2 = b2, (i) b1 = 0, b2 = 1, (ii) b1 = -4, b2 = 6 (iii) b1 = -1, b2 = 3 (iv) b1 = -5, b2 = 1
ALGEBRA
Solve each formula for the indicated variable. A = (1/2)h(b1 + b2), for b2
PREALGEBRA
The formula for the area of a trapezoid is A= ½h(b1 + b2), where b1 and b2 are both bases and h is the height. Find the value of h in terms of A, b1, and b2. Justify your answer.
ALGEBRA2
b2 - 400
LINEAR ALGEBRA
Solve the linear systems together by reducing the appropriate augmented matrix. x1 - 5x2 = b1, 3x1 + 2x2 = b2 (i) b1 = 1, b2 = 4 (ii) b1 = -2, b2 = 5
LINEAR ALGEBRA
Let B1 = {u1, u2} and B2 = {v1, v2} be the bases for R2 in which u1 = (1, 2), u2 = (2, 3), v1 = (1, 3), and v2 = (1, 4). (a) Find the transition matrix PB2→B1. (b) Find the transition matrix PB1→ B2· (c) Confirm that PB2→B1 and PB1→B2 are inverses of one another.(d) Let w = (0, 1). Find[w]B1 and then use the matrix PB1→B2 to compute [w]B2, from [w]B1. (e) Let w = (2, 5). Find [w]B2, and then use the matrix PB2→B1 to compute [w]B1 from [w]B2.
LINEAR ALGEBRA
Solve the linear systems together by reducing the appropriate augmented matrix. x1 + 3x2 + 5x3 = b1, -x1 - 2x2 = b2, 2x1 + 5x2 + 4x3 = b3, (i) b1 = 1, b2 = 0, b3 = -1, (ii) b1 = 0, b2 = 1, b3 = 1, (iii) b1 = -1, b2 = -1, b3 = 0
LINEAR ALGEBRA
Confirm the identities without evaluating the determinants directly. [a1 b1 a1 + b1 + c1, a2 b2 a2 + b2 + c2, a3 b3 a3 + b3 + c3] = [a1 b1 c1, a2 b2 c2, a3 b3 c3]
LINEAR ALGEBRA
Confirm the identities without evaluating the determinants directly. [a1 + b1 a1 - b1 c1, a2 + b2 a2 - b2 c2, a3 + b3 a3 - b3 c3] = -2 [a1 b1 c1, a2 b2 c2, a3 b3 c3]
LINEAR ALGEBRA
If B1, B2, and B3 are bases for R², and if PB1→B2 = [3 1, 5 2] and PB2→B3 = [7 2, 4 -1] then PB3→B1 = _______.
LINEAR ALGEBRA
Solve the linear systems together by reducing the appropriate augmented matrix. -x1 + 4x2 + x3 = b1, x1 + 9x2 - 2x3 = b2, 6x1 + 4x2 - 8x3 = b3, (i) b1 = 0, b2 = 1, b3 = 0 (ii) b1 = -3, b2 = 4, b3 = -5
LINEAR ALGEBRA
Prove that the equation of the line through the distinct points (a1, b1) and (a2, b2) can be written as [x y 1, a1 b1 1, a2 b2 1] = 0
LINEAR ALGEBRA
Give an example of two 2 x 2 matrices such that (A + B)(A - B) ≠ A2 - B2
DISCRETE MATH
If $a, b \in Z+,$ and both are odd, prove that 2|(a + b2) but $4 \mathcal{X}(a 2+b 2).$
DISCRETE MATH
Let $a, b \in Z+.$ a) Prove that if a2|b2 then a|b. b) Is it true that if a2|b3 then a2|b3?
PREALGEBRA
The area, A, of a trapezoid is equal to one-half the height, h, times the sum of the bases, b1 and b2: A = 1/2 x h (b1 + b2). A planter near the playground has the dimensions shown in the diagram to the right. What is the area of the planter?
CHEMISTRY
Classify these diatomic molecules as diamagnetic or paramagnetic: O2, F2, B2, C2, N2
LATIN
Change the present tense verbs into the perfect, the imperfect tense verbs into the pluperfect, and the future tense verbs into the future perfect. Translate the changed form:occultabas
LATIN
Change the present tense verbs into the perfect, the imperfect tense verbs into the pluperfect, and the future tense verbs into the future perfect. Translate the changed form:iacietis
LATIN
Change the present tense verbs into the perfect, the imperfect tense verbs into the pluperfect, and the future tense verbs into the future perfect. Translate the changed form:veniam
LATIN
Change the present tense verbs into the perfect, the imperfect tense verbs into the pluperfect, and the future tense verbs into the future perfect. Translate the changed form:temptabit
LATIN
Change the present tense verbs into the perfect, the imperfect tense verbs into the pluperfect, and the future tense verbs into the future perfect. Translate the changed form: legebamus
LATIN
Change the present tense verbs into the perfect, the imperfect tense verbs into the pluperfect, and the future tense verbs into the future perfect. Translate the changed form: iubemo