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Question 1 If z = x² sin(2x + 3y), then the partial derivative of z with respect to x is? (a) x² cos(2x + 3y) + 2xsin(2x + 3y) (b) 2x² cos(2x + 3y) + 2xsin(2x + 3y) (c) 4xcos(2x + 3y) (d) None of these

Question 1 If z = x² sin(2x + 3y), then the partial derivative of z with respect to x is? (a) x² cos(2x + 3y) + 2xsin(2x + 3y) (b) 2x² cos(2x + 3y) + 2xsin(2x + 3y) (c) 4xcos(2x + 3y) (d) None of these

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1 If z = x² sin(2x + 3y), then the partial derivative of z with respect to x is? (a) x² cos(2x + 3y) + 2xsin(2x + 3y) (b) 2x² cos(2x + 3y) + 2xsin(2x + 3y) (c) 4xcos(2x + 3y) (d) None of these Question 2 If 0 = kHLV where V is a constant, then the maximum possible in the calculated value of 0 is? (a) ae Ək 20 (b) SH дн = -Sk + -SH+ 20 ƏH Question 3 If y (b) 20 ƏL (a) -3% of y 3ws2 d4 SL + ae -SL ƏL де - SV av Ws and w increases by 2%, s decreases by 3% and d increases by 1%. ds =? d4 ae 20 (c) Sk + -SH+ -SL + ae ƏH Ək ƏL av (d) None of these (c) 3% of s (d) None of these SV
Transcribed Image Text:Question 1 If z = x² sin(2x + 3y), then the partial derivative of z with respect to x is? (a) x² cos(2x + 3y) + 2xsin(2x + 3y) (b) 2x² cos(2x + 3y) + 2xsin(2x + 3y) (c) 4xcos(2x + 3y) (d) None of these Question 2 If 0 = kHLV where V is a constant, then the maximum possible in the calculated value of 0 is? (a) ae Ək 20 (b) SH дн = -Sk + -SH+ 20 ƏH Question 3 If y (b) 20 ƏL (a) -3% of y 3ws2 d4 SL + ae -SL ƏL де - SV av Ws and w increases by 2%, s decreases by 3% and d increases by 1%. ds =? d4 ae 20 (c) Sk + -SH+ -SL + ae ƏH Ək ƏL av (d) None of these (c) 3% of s (d) None of these SV
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