The maximum value of f(x) = sinx is ________.

(a)

1

(b)

\(\frac { \sqrt { 3 } }{ 2 } \)

(c)

\(\frac { 1 }{ \sqrt { 2 } } \)

(d)

\(-\frac { 1 }{ \sqrt { 2 } } \)

If u = 4x² + 4xy + y² + 32 + 16 , then \(\frac { \partial ^{ 2 }u }{ \partial y\partial x } \) is equal to ________.

(a)

8x + 4y + 4

(b)

4

(c)

2y + 32

(d)

0

If u = \({ e }^{ { x }^{ 2 } }\) then \(\frac { \partial u }{ \partial x } \) is equal to _______.

(a)

\({ 2x }e^{ { x }^{ 2 } }\)

(b)

\({ e }^{ { x }^{ 2 } }\)

(c)

\({2 e }^{ { x }^{ 2 } }\)

(d)

0

A company begins to earn profit at _______.

(a)

Maximum point

(b)

Breakeven point

(c)

Stationary point

(d)

Even point

if q = 1000 + 8p₁ - p₂ then, \(\frac { \partial q }{ \partial { p }_{ 1 } } \) is _______.

(a)

-1

(b)

8

(c)

1000

(d)

1000 - p₂