For the piecewise linear function, find (a) f-3), (b) -2), (c) K0), (d) f(2), and (e)...
For the following piecewise function, find the specified function values ?(?) = { −2? ? < −4 ? + 6 − 4 ≤ ? ≤ 7 −? − 9 7 < ? a) f(-3) b) f (-5) c) f(0) d) f(10) e) f(5)
For parts a, b, c and d, use the following function: f(x) = e-5x a) (3 points) Write the Taylor polynomial of degree four for f(x) centered at 0. b) (2 points) Use the Taylor polynomial from part a to estimate the value of e-0.5. (Hint: let find x). c) (3 points) Write the series generated by f(x) at zero in sigma notation. d) (3 points) Find the radius of convergence and state the interval of convergence. d) (3 points)...
number8 (6x²-1 xSl. a. DNE b. O c. 3 d. -3 e. 00 Given the piecewise function f(x) = { answer the questions belov Vx+ 24 x>1 76. Evaluate the lim f(x) if it exists. a. DNE b. 4 c. 5 d. 4 and 5 e. 25 7. State the domain of the function.a. (-00,00) b. (-00,1) C. (-0,1] d TX Given the function f(x) = 2x2 - 16x+1, answer the following questions (#8-#12) 8. Find the average rate of...
Use the Chain Rule and the fact that d (r)-L,o find the derivative of (b) Rewrite f(x) as a piecewise function not involving the absolute value function. (c) Find the first and second derivatives of f(x),using your piecewise function. (d) Would you want to find" without the function's piecewise representation? 2. A square and a triangle are to be cut from a piece of fabric 1 metre square, as shown Find the length which minimises the removed area ar Use...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
linear algebra 2. Find the values of a, b, c, d, e, f. Do not guess. Show your work. 1 -3 3 c d -2 1 2 0-2 5 :( e 3 7 -2 -4 - 2 1 3. Find value of x, y that satisfy the following equation. Do not guess. Show your work. 63) =(-15)
a. Find f( 5), f(-3), and f(8) b. Sketch the graph of the piecewise-defined function. xif xs0 f(x) 1 if x>0 c. Determine the domain of f d. Determine the range of f. X f(- 5) %3D а. (Simplify your answer. Type an integer or a fraction.) f( -3) = (Simplify your answer. Type an integer or a fraction.) f(8) = (Simplify your answer. Type an integer or a fraction.) b. Choose the graph of f(x). O A. В. C....
Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line to yasinx at x-0. 3. Find the points where the tangent line to the function fix)-2x+3x2-12x+4 is horizontal. Quiz 2 sample 1. Find the derivatives. (a) f(x)-Ssinx+x f(x) (0) f(x) fix-Sx'E f(x) d) fx) e f'(x) e) ffx) -sinx cos2x f(x)- 2. Find the equation of the tangent line...
5.2. This problem (a) Find the piecewise linear interpolation function g(r) that fits these data. (b) Find the global interpolation polynomial p3(x) that fits these data concerns the data in Table 5.6. -1 0 1 2 0 1 0 1 y 5.2. This problem (a) Find the piecewise linear interpolation function g(r) that fits these data. (b) Find the global interpolation polynomial p3(x) that fits these data concerns the data in Table 5.6. -1 0 1 2 0 1 0...
For the piecewise-defined function shown, find the following values, if they exist: a) lim f(x) = b) lim f(x) = c) limf(x) = d) f(2)= e) lim f(x) =