\f5. [-/1 Points] DETAILS SCALCET9 3.3.019. Differentiate. V = . t sin(t) 1+t Submit Answer 6. [-/1 Points] DETAILS SCALCET9 3.3.021. Differentiate. f(0) = 0 cos(0) sin(0) f'(0) = Submit Answer7. [-/5 Points] DETAILS SCALCET9 3.3.023. Show that " (csc(x)) = -csc(x) cot(x). dx (csc(x)) = d dx dx )(0) - 1 sin(x) sin2(x) 1 sin(x) sin(x) = -csc(x) cot(x) Submit Answer 8. [-/1 Points] DETAILS SCALCET9 3.3.027. Find an equation of the tangent line to the curve at the given point. y = sin(x) + cos(x), (0, 1) Submit Answer9. [12 Points] DETAILS SCALCETB 3.3.031. MY NOTES ASK YOUR TEJ A graphing calculator is recommended. Let y = ltxsin(x). (a) Fin: an equation of the tangent line to the curve yat the point (g, 711). (b) Illustrate part (a) by graphing the curve y and the tangent hne on the same screen. y y y 311 311 311 611' 611' 611' 411 411 411 211 211 211 X X ' X G 1112 1r 6);) 1112 1r @(3' 1112 fr )1 511 611 411 211 I 1. X