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Relationship between the Short Run Average and Marginal Cost Curves

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Explain "Work=FS cos theta"

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u cos θ

is the horizontal component and

u sin θ

the vertical component when a projectile is projected at an angle

θ

from the horizontal.

\frac{\sin θ}{1 + \cos θ}

is equal to

(a)

\frac{1 + \cos θ}{\sin θ}

\frac{1 - \cos θ}{\cos θ}

\frac{1 - \cos θ}{\sin θ}

\frac{1 - \sin θ}{\cos θ}

Q. If x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ), prove that

\frac{d^{2} x}{d θ^{2}} = a (\cos θ - θ \sin θ), \frac{d^{2} y}{d θ^{2}} = a (\sin θ + θ \cos θ) and \frac{d^{2} y}{d x^{2}} = \frac{\sec^{3} θ}{a θ} .

Q. 10.x= a (cos θ + θ sin θ), ya (sin θ-θ cos θ)

\frac{cos 3 θ + 2 cos 5 θ + cos 7 θ}{cos θ + 2 cos 3 θ + cos 5 θ} = cos 2 θ - sin 2 θ tan 3 θ

\frac{sin A + sin 3 A + sin 5 A + sin 7 A}{cos A + cos 3 A + cos 5 A + cos 7 A} = tan 4 A

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Relationship between the Short Run Average and Marginal Cost Curves

Standard XI Economics

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