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

2x - 5y dA, R=(-5,4] x [0, 3] R.

dr 1. J(x-3)(x-2)

Differentiate two ways: first, by using the Product Rule; then, by multiplying the expressions before differentiating. Compare your results as a check. Use a graphing calculator to check your results. 1. y = x°.x* 2. y = x³.x° 3. f(x) = (2x + 5)(3x – 4) 4. g(x) = (3x – 2)(4x + 1) 5. F(x) = 3x*(x² – 4x) %3D 6. G(x) = 4x²(x³ + 5x) 7. y = (3Vx + 2)x? 8. y = (4Vx + 3)x 9. f(x) = (2x + 5)(3x² – 4x + 1) 10. g(x) = (4x – 3)(2x2 + 3x + 5) 11. F(t) = (Vi + 2)(3t – 4Vi + 7) 12. G(t) = (2t + 3Vi + 5)(Vi + 4)

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.