4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
s više dx V16 – x2 -√16 – x² x' +C V16 – x2 2x +C V16 - x² + c 16 - x2 2x +C 1 point 5 x2 dx = x3 +4 In | x3 + 4[ + C In [x] + + +C O In | x3 +41 whe in* +4 +C + 4x|+C
4) (16 points) The function f(x)= x? – 2x² - 4x+8 has a double root at x = 2. Use a) the standard Newton-Raphson, b) the modified Newton-Raphson to solve for the root at x = 2. Compare the rate of convergence using an initial guess of Xo = 1,2. 5) (14 points) Determine the roots of the following simultaneous nonlinear equations using a) fixed-point iteration and b) the Newton-Raphson method: y=-x? +x+0,75 y + 5xy = r? Employ initial...
2.) y = 2x² +10 with parabola y = 4x +16. x = -2 and x = 5 Find the area of the region bounded by the lines.
Problem 25 please -Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write the integrand as a function of u, ∫(4x−4)(2x^2−4x+2)^4 dx =∫ and hence solve the integral as a function of u, and then find the exact value of the definite integral. ii) Make the substitution u=e^(3x)/6, and write the integrand as a function of u. ∫ e^(3x)dx/36+e^(6x)=∫ Hence solve the integral as a function of u, including a constant of integration c, and then write...
Prophase Prometaphase Diploid or Haploid? 2x or 4x DNA content? Diploid or Haploid? 2x or 4x DNA content? Diploid or Haploid? 2x or 4x DNA content? Metaphase Anaphase Diploid or Haploid? 2x or 4x DNA content? Diploid or Haploid? 2x or 4x DNA content? Diploid or Haploid? 2x or 4x DNA content? Prophasel Metaphase 1 Diploid or iploid 1x 2 of 4 DNA content? Diploid or Haploid! 1x2x4x DNA content? Oo Anaphase Diploid or Haploid! 1x. 2x or 4x DNA...
What are the zeros of the function below? x)2x-4x +34 e None of the above.
10. f(x) = logs (sec(4x' - 2x + 5)) Chapter 4 - Applications of the Derivative 11. Given the function f(x) = 2x - 3x2 - 12x + 5 Find critical points (including relative minimums/maximums, if applicable), where the function is rising and falling, where it is concave up and down, any points of inflection. Summarize below. a. f(x) = b. f'(x) = c. Inflection points (give as points) d. Local MAXs (give as points): e. Local MINs (give as...
Matlab 16. Express the following polynomials as row vectors of coefficients: 3x^3− 4x^2+ 2x + 3 2x^4+ x^2+ 4x − 1