Pregunta 1 (10 Puntos) Calcular la derivada direccional de la funcion \( f(x, y)=\varepsilon^{x^{4}-4 y^{4}} \), en el punto \( (-2,1) \) y en la direccion del vector il \( =(1,-5) \)

\( f ( x ) = \left\{ \begin{array} { l l } { \sin x } & { ; x < r } \\ { m x + b ; } & { x \geq r } \end{array} \right. \)

June 2018 ZIMSEC Paper 1 Solve the equations: \( e^{2 x}=4 e^{2-x} \) giving the answer in exact form. November 2010 ZIMSEC Paper 1

By using Newton-Raphson Method, determine the root for \( x^{3}+2 x^{2}-1=0 \). Given \( x_{0}=0.5 \). Give the answer correct to four decimal places. Dengan mengomenan

(c) \( \int_{6}^{0}(2+5 x) e^{\frac{1}{3} x} d x \)

اجد التكامل غير المحدود للدالة \( f(x) = 3x^2 \).