4. Show that when x € (-1,1), HRE = (-1)"za" and aretan(x) = {2+1,+ Also, find...
1. Find any absolute maximums or minimums of f(x)=xV1 - X on (-1,1). Use calculus methods illustrated in your book and notes and show all work. Do not use a graph to justify your answer. 2. Evaluate the limits using calculus methods illustrated in your book and notes and show all work. Do not use a graph to justify your answer. a. liman 2-0*+sin(2x) tan(4x)
1. Find lim(x,y)=(1,1) x2-y2 2xy 2. Show that lim(x,y)-(0,0) 21 z does not exist 3. Show that lim(x,y)=(0,0) z?”, does not exist 4. Find lim(x,y)=(0,0) eye if it exists, or show that the limit does not exist
I just need #9 a-d (c) Find Σ 2" 9. Usethefact that fg +x2)-1dr = tan -1 x to show: (a) tan-1x=x-(x3/3) + (xs/5)-(x1/7)+ (b) Find a series expression for π. (c) Use this series to find π accurate to .2. (d) Is it true that tan-1 (1)-1-1+- for x e (-1,1). . . . ? Justify your answer. the ralurs for x for which the following power series converge:
(1 point) Find all the values of x such that the given series would converge. n-1 Vn+8 Answer. (-1,1) Note: Give your answer in interval oion (1 point) Find all the values of x such that the given series would converge. n-1 Vn+8 Answer. (-1,1) Note: Give your answer in interval oion
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x) = (5x centered at a = 1 using the definition of the Taylor series. Also find the radius of convergence of the series. b. (8pts) Find a power series representation for the function f(x) = 1 5+X C. (4pts) Suppose that the function F is an antiderivative of a function f. How can you obtain the Maclaurin series of F from the Maclaurin series...
3) (1 point) The (1-a) 100% confidence interval of μ is x-za/2o/Vn < μ x + za/2σ/ Show that, the rejection of Ho is equivalent to μ0 is outside of the above confidence interval. 3) (1 point) The (1-a) 100% confidence interval of μ is x-za/2o/Vn
Show that if p(r) is a polynomial then h(x) (2-1)2")2(44)(x)122 -4)px) has a zero bet ween [-1,1 Show that if p(r) is a polynomial then h(x) (2-1)2")2(44)(x)122 -4)px) has a zero bet ween [-1,1
Given z = 2(x,y),X = x(s,t),y = y(s,t), and zx(-1,1)= 3, zy(-1,1)= 2, xs(-1,1)= -1, x,(-1,1)= 3, ys(-1,1)= 1, z (1,2)=5, z (1,2)=3, x(1,2)= -1, y(1,2)= 1, y,(-1,1)= 4, xs(1,2)=3, xx(1,2)= -2, x(-1,1)= 1, y(- 1,1)=2, 7(1,2)=7, vs(1,2)=2, a. compute ( cas ? )ats = 1,t =2, b. if we plot the surface Z as a function of 5 and t, then at the point (1,2) in the st-plane, how fast is Z changing in the direction (-1,1) in the...
7. Let 7 = (1,-1,-2), ū = (2,-1,1) and = (2,-2,-4). Find: (a) *(-20) (4 pts) (b) (+37). ū (4 pts) (c) The vector of magnitude 5 that points in the same direction as (4 pts). (d) The angle between 7 and ū (4 pts). (e) Find Projz() (4 pts).
Help 1*4 2. Answer the following questions. Justify your answers. A. (&pts) Find the radius and interval of convergence of the series X=1 9, B. (Spts) Find the radius and interval of convergence of the series X=1 C (4pts) If the radius of convergence of a power series cux" is R, what is the radius of convergence of the power series Eco(5x)" ? Show your work.