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(4) Suppose that z = xy², then =( (A) xy2 (B) 0 (C) y² (D) 2xy (5) Suppose that 4-{(rw) 6 ²2 2 ). for 1 i 2 4) then (11) is (

(4) Suppose that z = xy², then =( (A) xy2 (B) 0 (C) y² (D) 2xy (5) Suppose that 4-{(rw) 6 ²2 2 ). for 1 i 2 4) then (11) is (

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
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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