2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4xí +2x + 4x1x2 – 3x1, starting from the point (2, 2)'. Perform three iterations.

C. ƒ′(1) = (3e³ – 2p¯³) In (5p¨² — *√p) -

1. Consider the function: x3 − 6x2 +11x − 6. This function has three roots at x* = 1, 2, 3. Q.At which points, the iteration methods fails (if any)? a. 0, 2+(1)/(sqrt(3)) b. 0, 2-(1)/(sqrt(3)) c. 0, 2+-(1)/(sqrt(3)) d. The method has no failing point

Express.  y=√(3x²-9)  as a composition of u(x)=√x , v(x)= (x)² , j(x)=3x-9

please solve question 2 from (a) to (f)

The minimum polynomial of 5/3 over Q is x'3.

20.) Find the linearization, L(x) ,of f(x)=x*+3x² values of f(x) when x=-1 , x=-1.1, x=-1.5 , and x=-2 at a=-1 . Compare values of L(x) to 6.

4. Find the remainder of f (x) = (1+x)3/2 of degree 3.

Hermann Ebbinghaus (1850–1909) pioneered the study of memory. A 2011 article in the Journal of Mathematical Psychology presents the mathematical model R(t) = a + b(1 + ct)−? for the Ebbinghaus forgetting curve, where R(t) is the fraction of memory retained t days after learning a task; a, b, and c are experimentally determined constants between 0 and 1; ? is a positive constant; and R(0) = 1. The constants depend on the type of task being learned. (a) What is the rate of change of retention t days after a task is learned?