Find the closed form solutions of the following recurrence relations with given initial conditions. use forward substitution or backward substitution as described in example 10 in the text. (a) an = -an-1, a0 = 5 (b) an = an-1 + 3, a0 = 1 (c) an = an-1 - n, a0 = 4 (d) an = 2nan-1, a0 = 3

Solve the equation. then check your solution 8=1.88+a

Urgent need asap △abc is similar to △xyz. also, side ab measures 6 cm, side bc measures 18 cm, and side xy measures 12 cm. what is the measure of side yz ? enter your answer in the box.

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.