MTH101 Final Term Solved Paper 7 Updated

FINALTERM EXAMINATION 2009

Calculus & Analytical Geometry-I

Gulshan Ali

(Hafizabad Campus)

Time: 120 min Marks: 80

Q1. If f is a twice differentiable function at a stationary point (1 marks)

0x and f x then f

has relative …………. At 0x

Minima
Maxima
None of these

Q2. In the notation (1 marks)

f x dx F x C C represents

A polynomial
A Constant
A Variable
None of these

Q3. According to Power-Rule of differentiation, if (1 marks)

n f x x where n is a real number, then

n d x dx nx −

n n x −

n n x + 1) n n x +

Q4. If (1 marks)

x y then dy dx =

2
-2
0
-3

Q5. 300 = ________ (1 marks)

π

π

π

π

Q6. If a function g is differentiable at a point x and a function f is differentiable at a point g(x), then the ________ is differentiable at point x . (1 marks)

Composition (f o g)
Quotient ( f / g )
Product (f . g)
Sum (f + g)

Q7. Let a function f be defined on an interval, and let (1 marks)

1x and 2x denote points in that interval. If f x f x whenever x x then which of the following statement is correct?
f is an increasing function.
f is a decreasing function.
f is a constant function.

Q8. If (1 marks)

f x on an open interval (a,b) then which of the following statement is correct?
f is concave up on (a, b).
f is concave down on (a, b)
f is linear on (a, b).

Q9. The sum (1 marks)

n k k k f x x

is known as:

Riemann Sum
General Sum
Integral Sum
Geometric Sum

Q10. What does 'n' represent in Riemann Sum (1 marks)

n k k k f x x

No. of Circles
No. of Rectangles
No. of Loops
No. of Squares