Please provide explanations for 1, 5, 7, 11, 15. How can I purchase a tutoring session?

x ty - 9xy = 0 mal dy 3(2 - 3x) 7 - = 9y - 3x2 dy 3y - x2 dx y2 - 3x Solve for dy/ dx. We then evaluate the derivative at (x, y) = (2, 4): FIGURE 3.32 Example 5 shows how to 3y - x21 3(4) - 22 8 4 find equations for the tangent and normal dx (2.4) y2 - 3x/(2,4) 42 - 3(2) 10 5. to the folium of Descartes at (2,4). The tangent at (2, 4) is the line through (2, 4) with slope 4/5: y = 4+ = (x - 2) + 12 The normal to the curve at (2, 4) is the line perpendicular to the tangent there, the line through (2, 4) with slope -5/4: y = 4 -2(x - 2) y = . 4x r + 13 EXERCISES 3.7 Differentiating Implicitly 11. x + tan (xy) = 0 12. x4 + siny = xy Use implicit differentiation to find dy/ dx in Exercises 1-14. 1. xy + xy2 = 6 2. x3 + y3 = 18xy 13. y sin * = 1 - xy 14. x cos (2x + 3y) = y sin x 3. 2ry + 1 = x+ y 4. x3 - xy+ y =1 Find dr / do in Exercises 15-18. 5. x2(x - y)= = x2- yz 6. (3xy + 7)2 = 6y = 30213 + 403/4 7. y = * - 1 I 15. 01/2 + r1/2 = 1 x + 1 8. 8 = 2x - y 16. r - 2V0 = 20 x + 3y 9. x = sec y 10. xy = cot (xy) 17. sin (r0) = 2 18. cos r + cot 0 = r