Use the given definition to find f(A): If R(x) = 40 + 2x + 3x2 + ... + ant" is a polynomial function, then for a square matrix A, RA) = aol + A +1242 + + F(x) = 4 - 9x + x? --13] VA) 11
Use the given definition to find f(A): If f(x) = a0 + 2 x + a2x2 + ... + ant is a polynomial function, then for a square matrix A, F(A) = aol + a1 A + a2A2 + ... + anA". 2o f(x) = 2 - 8x + x², A = 3 f(A) =
show work please Quir 8(10 points) standard form of quadratic function: f(x)-ax+bx + c Factored fom: Cx)-acx-rx-a) uadratic formula Solive the following equations using any method 2 x-9x+18- 3. 50x2-128 4 2x2-11x+9 0 6. -x2 + 3x + 4 = 0 2x2-2x-1=0
(1 point) Find the Maclaurin series of the function f(x) = (2x2)e-9x. f(0) = Ź CT" Determine the following coefficients:
Find the exponential function f(x)=a^x whose graph is given. Find the exponential function f(x) = ax whose graph is given. f(x) y 20 (2, 16) 15 10 5 -3 -2 - 1 2 3
Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 7x cos(2x2) (c) Use part (b) to find a power series for AUX) - 1621) 1x) - -1) ( 2.6 +1 +3 What is the radius of convergence, R? R-6 Find the Maclourin series for FUX) using the definition of a Maclaurin series. Assume that f has a power series expansion. Do not show that Ra(x) +0.1 Rox) = sin( Find the...
To find the instantaneous rate of change at x=3 Using the definition f(x +Ax) - f(x) Slope T - lim Ar-0 To find the instantaneous rate of change at x 3
Find a general solution of the system x' (t) = Ax(t) for the given matrix A. 3 -- 1 A= 10 -3 x(t) = 0 (Use parentheses to clearly denote the argument of each function.)
Find dy for the given values of x and Ax. y = 4x? - - 9x; * = - 3 and Ax=0.3 (Round to the nearest tenth as needed.) Enter your answer in the answer box MacBook esc F 90 F a # 1 2 3 $ 4 % 5 6 & 7 Q W IT R T Y A S C L
17. Given the function f(x) = x2 + 3: Use the Riemann sum and the limit definition to find the area between f(x), the x-axis, x = -1 and x = 3. (Each part is worth 2 points) a. What is Ax? b. What is f(c)? C. Set up the limit that you would take to find the area. Do not find the area. d. Set up a definite integral that solves the problem.