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5. Continuity and Differentiability
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Q2 of 147 Page 181

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.

x = a cos θ, y = b cos θ

It is given that

x = a cos θ, y = b cos θ


Then, we have



= a(-sinƟ)


= -asinƟ………… (1)



= b(-sinƟ)


= -bsinƟ …… (2)


From equation (1) and (2), we get



Hence, the value of is


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If u, v and w are functions of x, then show that


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If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.

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Questions · 147
5. Continuity and Differentiability
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