BI U & A 5 5b. Factor the expression 5a. Factor the expression x' + 5x...
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators! (NOTE: If you need help factoring these polynomials, see Helping Handout: Lab 1B) i. Factor the first denominator: 6x2+7x +2 = ( OC ) ii. Factor the second denominator: 3x+8x+4-( iii. Factor the third denominator: 2x2+5x+2 = ( ) (b) Rewrite with factored denominators: x+5 x-1 X + (2x+ 1)(3x+2) x+2)(3x+2 ) (c) Find the restrictions: (x+2) (2x+1) AND AND (d) Find the LCM:...
5a. Find the expression for the difference-quotient for the function f(x) = x2 -* 5b. Find the average rate of change of the function from x = 0 to x = 2 6. The half-life of carbon C-14 is 5730 years. What will be the mass of a 60-gm sample of C-14 in 100 years? Use 4 decimal places.
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How...
Question 2 ul lu (a) Find the solution u(x,t) for the 1-D wave equationfor -oo < x < oo with initial conditions u (x,0)-A(x) , where A(x) s presented in the diagram below, and zero initial velocity. For full marks u(x,t) needs to be expressed as an equation involving x and t, somewhat similar to f(x) on page 85 of the Notes Part 2. di+10 dı+15di+20 (b) Check for the wave equation in (a) that if f(xtct) (use appropriate value...
2. Let f(x) = x2+3x-10 x2+x-6 (a) Find the y-intercept. Show all work. (b) Find the x-intercept. Show all work. (c) Find the vertical asymptote(s). Show all work. (d) Find the horizontal asymptote. Explain your solution. (e) Does the rational expression have any holes? Explain.
any ideas? 1. Spts) Let /(x)=x2-5x+2. Evaluate and fully (x+h)-(x) simplify the difference quotient #1: . You must show all work to receive credit #2: 2. (5 pts) Let S(x)=x? -5x and g(x) = 3x -2. Find the composite function f(g(x)). y 1x x=0 3. (6 pts) Graph the function S(x)= 7+1 X20 Use open and closed circles where necessary. Label at least two points on each piece with their coordinates. Show your work. USE THE VALUES FOR X, X...
(5 pts) Let f(x)=-3x? +5x+2. Evaluate and fully simplify the difference quotient f(x+h)-f(x) h You must show all work to receive credit.
63 only Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
UU UTIJICICU Question 7 < > Use Mathematica to factor the expression 28 - 6x? + 9x® + 4096x2 - 24576x + 36864. One of the resulting factors has the form (z? + M). Enter the value of M below. M= Submit Question Question 8 < > Define the function f(x) = a* - 523 – 6x2 + 23 on Mathematica. Then evaluate and expand the expression f(3w + 2). The result should be a polynomial in the variable w....
For the polynomial below, 3 is a zero. g(x) = x3 + 3x2 – 5x - 39 Express g (x) as a product of linear factors. 8(x) = 0 x 5 ? Find all other zeros of P(x) = x + x + 4x + 30, given that 1 – 3i is a zero. (If there is more than one zero, separate them with commas.) x 6 ? The figure below shows the graph of a rational function f. It...