Question # 1

30^o

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π/3

π/4

π/6

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

What is the sum of the following series?

1+2+3+----+n

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n+1/2

(n+1)(n+2)/2

n(n+2)/2

n(n+1)/2

log_bac=_________

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log_ba + log_bc

log_ba - log_bc

log_ba/log_bc

log_ba * log_bc

If a slope m of a nonvertical line is m=1 then the angle of inclination of the line is

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π /4

π /2

π /5

Which operation could not be applied on the function?

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Cross Product

Sum

Division

lim x→0⁺ln x/1/x=_______

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1

0

none of these

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

The power rule d/dx[xⁿ]=nx^n-1holds if n is

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an integer

a rational number

an irrational number

all of the above

Average velocity of a body is V_ave

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d₁-d_o/ t₁- t_o

t₁- t_o/f(t₁₎- f(t_o)

_f(t₁₎- f(t_o)/t₁- t_o

None of these

if 2x-y=-3 they dy/dx=?

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2

-2

0

-3

2/3 is known as

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even number

irrational number

natural number

rational number

h(x)=1/(x-2)(x-4) domain of the function is

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(-∞,2)U (2,4)U (4,+∞)

(-∞,2)U (2,4)U (4,∞)

All are incorrect

Suppose that f and g are differentiable function of f x then d/dx(f)(g)=

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[f'][g]-[f][g']/g²

[f'][g']

[f'][g] + [f][g']

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

The mean value of theorem states that " Let function f can be differentiable on (a,b) and continuous on [a,b] then there is no exist at least one point c in (a,b) where ______

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f'(c)=f(b)-f(a)/b-a

f(c)=f(b)-f(a)/b-a

f(c)=f(a)-f(b)/b-a

For a sequence {a_n} if the ration of successive terms a_n+1/ a_n<1 then the sequence is known as :

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increasing

decreasing

Non increasing

non decreasing

The graph of the equation y=x²-4x+5 will represent

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Parabola

Single line

Two straight line

Ellipse

Consider the following function h(x) and a constant c then d/dx((c)){h(x)}=

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0

d/dx{h(x)}

d/dx{h(cx)}

cd/dx{h(x)}

If there is some function F such that d/dx[F(x)]=f(x) then any of the function of the form F(x)+C is _________ of f(x)

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Derivative

Antiderivative

Slope

Maximum value

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