Question # 1

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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Integral

Indefinite integral

Differential

Definite integral

Area between x-axis and the curve:

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32

16

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

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sin x

cos x

sinh x

cosh x

The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

The point (5, 8) lies the line 2x - 3y + 6 = 0

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Above

Below

On

None

The non-negative inequalities are called:

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Parameters

Constants

Decision variables

Vertices

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If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

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Rectangle

Rhombus

Parallelogram

None of these

A null vector is defined as a vector whose magnitude is:

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1

2

0

None of these

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Lagrange

Newtown

Leibniz

Cauchy

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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4a

2a

4b

2b

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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