4. Solve the recurrence relation an \( -80 n-1-16 n-2 \) for \( n \geq 2, a_{0}=16, a_{1}=80 \).

II, Choose the correct answer from the given alternative. (1.5 pts each) 9.If \( =\left\{(x, y): y=x^{2}+1\right\} \) then which one of the following is the range of \( R \) ? A. IR \( \quad \) B. \( [1, \infty) \quad \) C. \( [0, \infty) \) D. IR \( \backslash\{0\} \) 10. The domain of the function \( f(x)=x^{\frac{3}{4}} \) is? \( \begin{array}{llll}\text { A. IR } \backslash 0\} & \text { B. IR } \quad \text { C. }[0, \infty) & \text { D. }(-\infty, 0] \\ \text { 11. If } x=14 \text { then }\lfloor x\rfloor \text { is equal to;- A. } 13 & \text { B. } 14 & \text { C. } 15 & \text { D. } 14\end{array} \)

25 exponentielle: \( \begin{array}{lll}\text { a. } 4 \sqrt{2} e^{i \frac{\pi}{4}} & \text { b. } 4 \sqrt{2} e^{i \frac{7 \pi}{4}} & \text { c. } 4 \sqrt{2} e^{i \frac{3 \pi}{4}} \\ \text { 2. Un argument du nombre complexe }-2 e^{i \frac{\pi}{5}} \text { est: } \\ \begin{array}{lll}\text { a. } \frac{7 \pi}{10} & \text { b. }-\frac{4 \pi}{5} & \text { c. }-\frac{3 \pi}{10}\end{array} \\ \begin{array}{lll}\text { 3. On pose } z=3-3 i . L a f o r m e ~ e x p o n e n t i e l l e ~ d e ~ \\ i\end{array} \\ \begin{array}{lll}\text { a. } 3 \sqrt{2} e^{-i \frac{\pi}{4}} & \text { b. } 3 \sqrt{2} e^{-i \frac{3 \pi}{4}} & \text { c. } 3 \sqrt{2} e^{i \frac{\pi}{4}} \\ \text { 4. On pose } z=3+i \sqrt{3} \text {. La forme exponentielle de }-4 z\end{array} \\ \text { est: } & \text { b. } 2 \sqrt{3} e^{i \frac{7 \pi}{6}} & \text { c. } 8 \sqrt{3} e^{-i \frac{5 \pi}{6}}\end{array} \)

3 Convert radian \( \leftrightarrow \) degrees \( -372^{\circ} \quad \frac{13 \pi}{20} \)

Mathematics Assignment for Grade 12. December 15/04/2017 E. C. Instructions: - Workout the following problems with the necessary steps with clear and legible handwriting. - Write your group number, full name with their Roll NO. 1. The number of terms in an arithmetic progression is even. The sum of the odd terms is 24. If the sum of even terms is 30 and the last term exceeds the first by \( \frac{21}{2} \), then find the number of terms. 2. If \( a^{2}+b^{2}, a b+b c \) and \( b^{2}+c^{2} \) are in geometric progression, prove that \( a, b, c \) are also in geometric progression. 3. Let \( f(x)=\left\{\begin{aligned} 4 x, & x \geq 3 \\ x^{2}+3, & x<3\end{aligned}\right. \), find the equation of the tangent line and the normal line to the graph of \( f \) at the point \( (4,16) \). 4. Find the maximum possible area of an isosceles triangle whose perimeter is 6 m . 5. Given \( f(x)=\sqrt{12-x-x^{2}},[-4,3] \) find: a) absolute maximum. b) dbsotute-minimum.

15. which one of the following is the range of \( f(x)=x^{\frac{-2}{3}} \) ? \( \begin{array}{l}\text { A. IR } \backslash\{0\} \quad B .(0, \infty) \quad C .(-\infty, 0) \quad D . \mathbb{R}\end{array} \)