ISRO Scientist or Engineer Mechanical 2007

Instructions

For the following questions answer them individually

Question 31

Laplace transform of $$\sin^3 2t$$ is

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Question 32

The value of the determinant
is

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Question 33

Solution of $$(D^2 + 4)y = \sin^2 x$$, is

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Question 34

The value of k for which the lines $$2x + y - 1 = 0, 4x + 3y - 3 = 0$$ and $$3x + ky - 2 = 0$$, are concurrent is

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Question 35

A box contains 5 black and 5 red balls. Two balls are randomly picked one after another from the box, without replacement. The probability for both balls being red is

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Question 36

$$x^3 + x \sin x$$ Is a ............ function

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Question 37

$$\int \frac{dx}{x\sqrt{x^2 - a^2}}$$ is

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Question 38

Eigen values of $$\begin{bmatrix}-5 & 2 \\2 & -2 \end{bmatrix}$$ are

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Question 39

Hardness of martensite is about

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Question 40

Which is false statement about annealing. Annealing is done to

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ISRO Scientist or Engineer Mechanical 2007

Laplace transform of $$\sin^3 2t$$ is

The value of the determinant is

Solution of $$(D^2 + 4)y = \sin^2 x$$, is

The value of k for which the lines $$2x + y - 1 = 0, 4x + 3y - 3 = 0$$ and $$3x + ky - 2 = 0$$, are concurrent is

A box contains 5 black and 5 red balls. Two balls are randomly picked one after another from the box, without replacement. The probability for both balls being red is

$$x^3 + x \sin x$$ Is a ............ function

$$\int \frac{dx}{x\sqrt{x^2 - a^2}}$$ is

Eigen values of $$\begin{bmatrix}-5 & 2 \\2 & -2 \end{bmatrix}$$ are

Hardness of martensite is about

Which is false statement about annealing. Annealing is done to

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The value of the determinant
is