Page 30 - Engineering Mathematics Workbook_Final

Calculus

 u (c) 41 (d) 46
(a) uv (b)
v 135. The maximum value of
2
3
5
 v x − 9x + 24x + is
(c) (d) 1
u (a) 21 (b) 25
250 (c) 41 (d) 46
f
131. The function ( ) x = x + 2 at x =
x 136. The maximum value of the function
5, attains   

5Cos + 3Cos    +     + 3 is
(a) maxima  3 
(b) minima (a) 5 (b) 10

(c) neither maxima nor minima (c) 11 (d) 9

(d) none 1/x
f
137. The function ( ) x = x has maxima
sint at x = _______
f
132. The function ( ) t = at t = 0
t
attains (a) 1 (b) e
2
(a) maxima (c) e (d) 2

(b) minima 138. Maxima slope of the curve
2
3
− x + 6x + 2x + 1 is
(c) neither maxima nor minima
(a) 14 (b) 16
(d) none
(c) 19 (d) -13
133. The right circular cone of largest volume
that can be enclosed by a sphere of 139. The function
2
2
radius 1m has a height of f ( ,x y ) 2x= 4 + y − x − 2y has a
1 2 relative _____
(a) m (b) m
3 3  1 

(a) maxima at   ,1
 

2 2 4  2 
(c) m (d) m
3 3  1 

(b) minima at   ,1

 
134. The maximum value of  2 
2
3
f ( ) x = x − 9x + 24x + is
5
(c) maxima at (0, 1)
(a) 21 (b) 25 (d) minima at (0, 1)

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