Expand the function is in a power series anx" with center c = 0. Find anx”....
Find the interval of convergence for the given series. Ž (n+3)(x +10) (Use symbolic notation and fractions where needed. Give your answer in the form of a single value or an interval of the form (* ). Use the symbol oo for infinity for an empty set, U for combining intervals, and an appropriate type of parenthesis "C". ")". Tor "T" depending on whether the interval is open or closed.)
please circle the answer Find the interval of convergence of ♡ (x – 4)" n! n=0 (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis" (", ") "," [" or "] " depending on whether the interval is open or closed.) хЄ
Using interval notation, determine the largest domain over which the given function is one-to-one. Then, provide the equation for the inverse of the function that is restricted to that domain. If two equally large domains exist over which the given function is one-to-one, you may use either domain. However, be certain that the equation for the inverse function you submit is appropriate for the particular domain you choose. f(x) = x² + 18x (Give your answer as an interval in...
Find the critical points and the intervals on which the function f(t)=2-3«/, (x > 0) is increasing or decreasing. Use the First Derivative Test to determine whether the critical point is a local minimum or maximum (or neither). Find the 2-coordinates of the critical points that correspond to a local minimum. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the -coordinates...
Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. 1 using fix) 2 g(x)= (1+4x2)2 gix)-ΣΠ k 0 The power series g(x) converges on the interval (Simplify your answer. Type your answer interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) Find the power series representation...
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 =
Let f(x, y) = 7x²y + 2x + 2. Evaluate f(5,5). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(5,5) = Evaluate f(x + d, y). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x + d, y) = Evaluate f(x, y + d). (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(x, y + d) =
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 =
dy Find the solution of dt - 5y (4 – y), y(0) = 20. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y =
Find the solution of dy/dt=2y(3−y), y(0)=9. (Express numbers in exact form. Use symbolic notation and fractions where needed.)