M1
Unit 4Applications of Partial Differentiationsa) If ux = yz, vy = zx, wz = xy thenFind 
b) If 
then prove that j.j1 = 1c) If 
, 
, show that j.j1 = 1d) If 
, 
then show that
e) If 
, 
and 
thenFind 
f) Examine functional dependence of
, 
, 
g) Examine functional dependence of
, 
h) If 
, and 
thenFind 
.i) If 
, 
, 
Find 
.j) Find the y. error in the area of an ellipse when the errors of 2% and 3% are made in the measuring it’s major and minor areas resp.k) If period of simple pendulum is 
, find the percentage error in T due to possible error up to 1% in l and 2.5% in g.l) The focul length of a mirror is found from 
. Find the percentage error in f given u and v both of error 2% each.m) Find the possible % error in computing the parallel resistance r of three resistance r1, r2, r3 from the formula.
; if r1, r2, r3 are each error by 2%.n) Discuss the maxima and minima of the function 
o) Discuss the maxima and minima for 
. a > 0p) Find the minimum value of x2 + y2, subject to the condition ax + by = c.q) Find the largest product of numbers x, y and z when x + y + z = gr) Find the maximum value of 
where x + y + z = a.
b) If then prove that j.j1 = 1c) If , , show that j.j1 = 1d) If , then show thate) If , and thenFind f) Examine functional dependence of, , g) Examine functional dependence of, h) If , and thenFind .i) If , , Find .j) Find the y. error in the area of an ellipse when the errors of 2% and 3% are made in the measuring it’s major and minor areas resp.k) If period of simple pendulum is , find the percentage error in T due to possible error up to 1% in l and 2.5% in g.l) The focul length of a mirror is found from . Find the percentage error in f given u and v both of error 2% each.m) Find the possible % error in computing the parallel resistance r of three resistance r1, r2, r3 from the formula.; if r1, r2, r3 are each error by 2%.n) Discuss the maxima and minima of the function o) Discuss the maxima and minima for . a > 0p) Find the minimum value of x2 + y2, subject to the condition ax + by = c.q) Find the largest product of numbers x, y and z when x + y + z = gr) Find the maximum value of where x + y + z = a. 
0 matching results found