b) y+3y=0, y(0)=-2,y'(0)=3

The manufacturing cost of a smartphone is approximated by M(x, y) = 45x + 40y ? – 20xy + 50 where x is the cost of the parts and y is the cost of the labor. Right now, the company spends $9 on parts and $15 on labor. Use differentials to approximate the change in cost if the company decreases the cost of parts by $0.13 and increases the cost of labor by $0.23. Round your answer to two decimal places.

The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?

The respiration rate R (in litres/min) of a boy can be modelled by the equation R = 6-3 cost, where t is the time (in minutes) at which the respiration rate is measured. (i) Explain why this model suggests that the respiration rate, R (in litres/min) of the boy is 3

Identify which of the following equations are quadratic function or linear function. 1. f(x) = 2x - 5 2. у %3D (х + 1)(х — 6) 3. f (x) — 6х? —7x-5 4. y = 7x + 8 5. y = 9x2 – 16 %3D | Complete the table dtiow of the quadratic function y = x2 – 2x – 3, find the common differences and graph. 1. y = x² – 2x - 3 -2 -1 1 3 4 Transform the following quadratic function into y = a(x – h)² + k. Write the y = x² – 12x + 30 2. f(x) = 2x2 + 8x – 9 → using completing the square → using the formula h and k 1