Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
Related questions
Question
part 4 5 6
Transcribed Image Text:1 Choose the correct answer
(1) The p-series
diverges for (
).
(A) p20 (B) p≤0 (C) p≥1 (D) p ≤ 1
(2) Let a = (1, 1,-1), b = (0,3,4). Then a × b = (
).
(A) (7,-4,3) (B) (7,4,-3) (C) (7,4,3) (D) (-7,4,3)
(3) The domain of the function z = ln (1-x² - y²) is (
).
(A) {(x, y) = R²|r² + y² <1}
(C) {(x, y) = R²|x² + y² > 1}
(B) {(x, y) = R²x² + y² ≤ 1}
(D){(x, y) = R² x² + y² > 1}
(4) Suppose that z = xy², then
= (
).
(A) xy² (B) 0
(C) y² (D) 2xy
(5) Suppose that A = {(x, y) = R²|x² + y² = 0 or 1 < x² + y² ≤ 4}, then (1, 1) is (
).
(A) interior point
(B) accumulation point
(C) boundary point (D) interior point and accumulation point
(6) Consider the region(o)= {(x,y) x ≥ 0, y ≥ 0,x+y ≤ 1}. Compare the magnitudes of ff)(x + y) do
and ff)(x + y)² do, Then (
) is correct.
(A) SS)(x+y) do > Sf)(x + y)² do
(C) ff)(x+y) do < (o)(x + y)² do
(B) S(o)(x+y) do ≥ ffo) (x + y)² do
(D) ff(o)(x + y) do ≤ f(o)(x + y)² do
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