



Find and plot the Cartesian equations of the loci of z given by the following equations (for a ci...
Question 2: [20 marks Find and plot the Cartesian equations of the loci of z given by the following equations (for a circle indicate explicitly coordinates of its centre and radius; for an ellipse indicate explicitly coordinates of its foci and semi-axes; for a straight line indicate explicitly its gradient and y- intercept, for a ray indicate explicitly coordinates of its origin and gradient): [7 marks) b) arg(2-4+j)= arg(jV3 –1). 16 marks) c) (32 – 21 – 12j|+|3z +9-12j1 =...
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Find the length of the curve defined by the parametric equations y3In(t/4)2-1) from t 5 tot- 7 Find the length of parametized curve given by a(t) -0t3 -3t2 + 6t, y(t)1t3 +3t2+ 0t, where t goes from zero to one. Hint: The speed is a quadratic polynomial with integer coefficients. A curve with polar equation 14 7sin θ + 50 cos θ represents a line. Write this line in the given Cartesian form Note: Your answer should be...