Question # 1

If the partial sum of the series is finite then the series will be

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Divergent

Convergent

Give no information

If 2y-y=-3 then dy/dx ?

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2

-2

0

-3

no of x and y are intercept for the equation y=1/x

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Two x intercepts

Two y intercepts

No x and y intercept correct

None of these

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

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 equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

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(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

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

The graph x=y²is symmetric about ________ axis?

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X-axis

Y-axis

Origin

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

log_bac_______?

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log_ba + log_bc

log_ba + log_bb

None of these

If the partial sum of series is finite then the series will be:

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Convergent

GIve no information

Not Sure

d(sec x)/dx=?

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sec x tan x

sec x tan y

cosec x cot x

A function f is called antiderivative of a function on a given interval if ______ =f(x),for all x in that interval

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F'(x)

F(x)

f(x)

f''(x)

The tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

Center and radius of the circle is (x+5)²+(y-3)²=16 is

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(-5,3),4

(5,-3),16

(5,-3),4

None of these

If x>0 then d/dx[lnx]=_______

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1

x

1/x

ln 1/x

if xy=4 then dy/dx =?

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0

-1/x²

-4/x²

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

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Parabola

Single line

Two straight line

Ellipse

The equation of the line of the form y-y₁=m(x-x₁) is known as

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Point Slope form

Two points form

Intercept form

Slop intersect form

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

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