Question # 1

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

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2

-2

0

-3

In alternating series test ,which one of the following condition must be satisfied

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lim k→∞ a_k=1

a₁>a₂>a_{3...............>a}k

a₁<a₂<a_{3...............<a}k

For a graph to be symmetric about y axis mean ,for each point (x,y) on the graph the point ____ is also on the graph

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(x,-y)

(-x,y)

(-x,-y)

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 tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

set{...-4,-3 ,-2,-1,0,1,2,3,4} is known as the set of

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natural number

Integer

whole number

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

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

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2

-2

0

-3

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)}

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

At which points two curves y=x²and y=x+6 intersect?

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x=0 and x=2

x=0 and x=3

x=2 and x=3

x=-2 and x=3

(x²-4)/(x-2) Natural domain is

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(-∞,2)U (2,+∞)

(-∞,2)

(-∞,0)

None of these

Which of the following is the spring constant k if a spring constant whose natural length is 2m exerts a force of 3N when started 1m beyond its natural legth?

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3 x

3 N/m

2 m

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']

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

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

Polynomials are always ________ function

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Continuous

Discontinuous

Not Sure

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

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

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

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

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