Question # 1

log_ba^r=____?

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a log_br

rlog_ba

log_ba/log_br

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

Function f is differentiable function if it is differentiable on the interval

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(-∞,∞)

(a,∞) where a is any negative integer

(0,∞)

None of these

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

log_ba^r=____?

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alog_br

r log_ba

log_ba /log_br

y=x²/2

Let find the average rate of change of y with respect to x over the interval [3,4]

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25/2

7/2

25/14

7/14

If a function g is differentiable at a point x and function f is differentiable at a point g(x),then the __ is differentiable a point x.

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Composition (fog)

Quotient f/g

product f.g

Sum (f+g)

If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y ,we say that y is ____ of x

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relation

function

not a function

not a relation

A line is called a tangent line to the circle if it meets the circle at precisely.....

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one point

two point

infinite points

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

______ is the special case for the Taylor's theorem

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Roll's Theorem

Picard's Method

Integration

Maclaurin Theorem

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

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

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Parabola

Straight Line

Ellipse

The tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

lim x→0⁺ln x/1/x=_______

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1

0

none of these

______ is the special case of Taylor's Theorem

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Roll's theorem

Picard Method

Integration

An object is displaced 1m by a force of 1N then the work done

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2

1

0

Chain rule is a rule for differentiating ______ of functions

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Product

Sum

Composition

Difference

tan x is continuous everywhere except at points

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+- kπ/2 (k=1,3,5....)

+- kπ/2 (k=2,4,6....)

Not Sure

log_bac=_____

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log_ba +log_bc

log_ba - log_bc

log_ba /log_bc

log_ba *log_bc

How many critical points exist for a function f if f'(x)=(x-3)(x-2)

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0

1

3

2

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