Engineering Mathematics Quiz 

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What is the slope of the tangent to y = (x^2 + 1)(x^3 - 4x) at (1, -6)?

-8

-4

3

5

Find the coordinate of the vertex of the parabola y = x^2 - 4x + 1 by making use of the fact that at the vertex, the slope of the tangent is zero.

(2, -3)

(3, 2)

(-1, -3)

(-2, -3)

Find the slope of the curve x^2 + y^2 - 6x + 10y + 5 = 0 at point (1, 0)

2/5

-2

1/4

2

Find the slope of the ellipse x^2 + 4y^2 - 10x + 16y + 5 = 0 at the point where y= 2 + 8^0.5 and x= 7

-0.1654

-0.1538

-0.1768

-0.1463

Find the slope of the tangent to the curve y = 2x - x^2 + x^3 at (0, 2)

2

3

4

1

Find the equation of the tangent to the curve y = 2e^x at (0, 2)

2x - y + 3 = 0

2x - y + 2 = 0

3x + y + 2 = 0

2x + 3y + 2 = 0