21. Find the length of the equiangular spiral r = 5e for 0 So (Use symbolic...
Find the length s of the path (2 + 141, 3 +212) over the interval 7 <1 38. (Express numbers in exact form. Use symbolic notation and fractions where needed.) s= Find the length s of the path (r + 5,12 + 8) over the interval 5 <1 37. (Use symbolic notation and fractions where needed.) S =
Find the curvature of r(t) = (-7 sin(t), cos(2t), –3t) at t = ž. (Use symbolic notation and fractions where needed.) k () =
Find the Maclaurin series for f(x) = cos (x*). (Use symbolic notation and fractions where needed.) cos (x4) = E O Use the found series to determine f(8)(0). (Use decimal notation. Give your answer as a whole or exact number.) f(8)(0) = TRIGONOMETRIC ALPHABET MORE HELP mn 4 of 6 > Compute the limit by substituting the Maclaurin series for the trig function. (Use symbolic notation and fractions where needed.). sin (9x) – 9x + 2 lim X-0
dy Find the solution of dt = 8y (7 – y), y(0) = 21. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y =
Find the solution of a = y (6 - ) satisfying the initial condition y(0) = 90. (Use symbolic notation and fractions where needed.) y = Find the solution of = y(6 - ) satisfying the initial condition y(0) = 18. (Use symbolic notation and fractions where needed.) y = Find the solution of a = y(6 - ) satisfying the initial condition y(0) = -6. (Use symbolic notation and fractions where needed.) y =
Find the derivative of the function y = 3e (In (82) (Use symbolic notation and fractions where needed.)
Find the solution of dy/dt=2y(3−y), y(0)=9. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Find the definite integral using Part 2 of the Fundamental Theorem of Calculus. (Use symbolic notation and fractions where needed.) L' avem dy = 0
Find the solution of a = y (5 – š) satisfying the initial condition y(0) = 100. (Use symbolic notation and fractions where needed.) y = Find the solution of = y (5 – }) satisfying the initial condition y(0) = 25. (Use symbolic notation and fractions where needed.) y = Find the solution of a = y (5 – š) satisfying the initial condition y(0) = -5. (Use symbolic notation and fractions where needed.) y =
1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint
1 Let f (z, y)5) Find the equation for the tangent plane to the graph of f at the point (3, 3) (Use symbolic notation and fractions where needed.) Hint