4. Given y(3)(x)-y(2) (x) = ex. Find the general solution for y(x). (Hint: No need to find the value of C1, C2, and C3) 5. Given y(3)(x)y(2)(x) = sin(2x). Find the general solution for y(x). (Hint: No need to find the value of

2

X5. Let f(x) = -4x + 5 and g(x) = 2x - 3. a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then, find h(-3). b) Determine an equation for the function 7(x) = f(x) - g(x). Then, find j(0). c) Determine an equation for the function k(x) = g(x) - f(x). Then, find k(3). %3D 1 %3D

1.8 If f(x) = -7x – 6 and g(x) = -8x? – 4x + 3, find g(f(3)). а. 393 b. -177 C. -1857 d. -279

given f (2) = 3z - 6z+ j3. what is the value of u(3, 2)

Find The derivative fog Ⓒ y = (3x -x ² + 1) " (2 3r+2 2r+3 =√√√1+√x Q| 7 3 2= if f(z) = 3y² +1 and fog(z)= y³ Find fog, gof, Dy fog and Dy gof.