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KALINGA NAGAR POLYTECHNIC, TARAPUR, JAJPUR ROAD 3rd SEMESTER 1st INTERNAL ASSESSMENT TEST-2018 (W) Time: - 1Hr SUB- ENGG MATH-III (BST-301) Branch: - ELECTRICAL /Mech. Full Marks:- 20 Answer all the questions. (1) Find the Laplace transform of $t \cos at$. [5\times4] (2) Derive a partial differential equation (by eliminating the constants) from the equation $a^2 z = \frac{x^2}{a^2} + \frac{y^2}{b^2}$. (3) Solve $m \frac{\partial y}{\partial x} - x \frac{\partial y}{\partial t} + y^2 (z - x) q = z^2 (x - y)$. (4) find the missing values in the following equation x 45 50 55 60 65 y 30 - 20 - -24

          KALINGA NAGAR POLYTECHNIC, TARAPUR, JAJPUR ROAD
3rd SEMESTER 1st INTERNAL ASSESSMENT TEST-2018 (W)
Time: - 1Hr SUB- ENGG MATH-III (BST-301)
Branch: - ELECTRICAL /Mech. Full Marks:- 20
Answer all the questions.
(1) Find the Laplace transform of $t \cos at$.
[5\times4]
(2) Derive a partial differential equation (by eliminating
the constants) from the equation $a^2 z = \frac{x^2}{a^2} + \frac{y^2}{b^2}$.
(3) Solve $m \frac{\partial y}{\partial x} - x \frac{\partial y}{\partial t} + y^2 (z - x) q = z^2 (x - y)$.
(4) find the missing values in the following equation
x 45 50 55 60 65
y 30 - 20 - -24

KALINGA NAGAR POLYTECHNIC, TARAPUR, JAJPUR ROAD
3rd SEMESTER 1st INTERNAL ASSESSMENT TEST-2018 (W)
Time: - 1Hr SUB- ENGG MATH-III (BST-301)
Branch: - ELECTRICAL /Mech. Full Marks:- 20
Answer all the questions.
(1) Find the Laplace transform of t cos at.
[5×4]
(2) Derive a partial differential equation (by eliminating
the constants) from the equation a^2 z = (x^2)/(a^2) + (y^2)/(b^2).
(3) Solve m (∂ y)/(∂ x) - x (∂ y)/(∂ t) + y^2 (z - x) q = z^2 (x - y).
(4) find the missing values in the following equation
x 45 50 55 60 65
y 30 - 20 - -24

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