Question # 1

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']

log_bac=_________

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log_ba + log_bc

log_ba - log_bc

log_ba/log_bc

log_ba * log_bc

For a sequence {a_n} if the difference between successive terms a_n+1-a_n<=0 then the sequence is known as

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increasing

decreasing

non decreasing

non increasing

Chain rule is a rule for differentiating ______ of functions

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Product

Sum

Composition

Difference

If f(x)=e^-xat x=0 be the taylor series ,then which of the following is also true?

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Arithmetic Series

Maclaurin Series

Geometric Series

Harmonic Series

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

d(sec x)/dx=?

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sec x tan x

sec x tan y

cosec x cot x

Sigma notation is represent by

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M

N

Σ

Which operation can not be applied on the function?

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Subtraction

Cross Product

Addition

Composition

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

Tan(x) is continuous every where except at points

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+- kπ/2 where k=(1,3,5.....)

+- kπ/2 where k=(2,4,6.....)

+- kπ/2 where k=(1,2,3,4,5,6.....)

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