Find the particular solution of the differential equation that satisfies the initial conditions. f ''(x) = 2 cos(x), f '(0) = 4, f(0) = −9

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Aright triangle has an area of 21 m2. the dimensions of the triangle are increased by a scale factor of 4. what is the area of the new triangle