Question

In: Advanced Math

Evaluate the polynomial y= x^3- 5x^2+ 6x + 0.55 at x=.137. Use 3-digit arithmetic with rounding....

Evaluate the polynomial y= x^3- 5x^2+ 6x + 0.55 at x=.137. Use 3-digit arithmetic with rounding. Evaluate the percent relative error. (b) Repeat (a) but express y as
y= ((x- 5)x +6)x + 0.55

Solutions

Expert Solution


Related Solutions

Consider the following real 3rd order polynomial f (x)= x^3− 5.5 x^2− 5x+ 37.5 A) Use...
Consider the following real 3rd order polynomial f (x)= x^3− 5.5 x^2− 5x+ 37.5 A) Use the bisection method to determine one of the roots, employing initial guesses of xl = - 10, xu = -1, and a stopping criterion εs=12% . B) Use the false position method to determine a root, employing initial guesses of xl = - 1, xu = 4, and a stopping criterion εs=3%. Was this method the best for these initial guesses? C) Use the...
1)For the function f(x)=6x^2−2x, evaluate and simplify. f(x+h)−f(x)/h 2)Evaluate the limit: limx→−6 if x^2+5x−6/x+6 3)A bacteria...
1)For the function f(x)=6x^2−2x, evaluate and simplify. f(x+h)−f(x)/h 2)Evaluate the limit: limx→−6 if x^2+5x−6/x+6 3)A bacteria culture starts with 820820 bacteria and grows at a rate proportional to its size. After 22 hours there will be 16401640 bacteria. (a) Express the population PP after tt hours as a function of tt. Be sure to keep at least 4 significant figures on the growth rate. P(t)P(t)= (b) What will be the population after 8 hours? bacteria (c) How long will it...
solve this system of linear differential equations x'' - 5x' + 6x + y'' - 9y'...
solve this system of linear differential equations x'' - 5x' + 6x + y'' - 9y' + 20y = 0 x'' - 8x' + 12x + y'' - 13y' + 36y = 0
Q11: Use the Lagrange interpolating polynomial of degree three or less and four-digit chopping arithmetic to...
Q11: Use the Lagrange interpolating polynomial of degree three or less and four-digit chopping arithmetic to approximate cos 0.750 using the following values. Find an error bound for the approximation. cos 0.698 = 0.7661 ,cos 0.733 = 0.7432 cos 0.768 = 0.7193 cos 0.803 = 0.6946.
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3....
2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative. f '(x)= b. Find f '(3)= 8. Let f(x)=(x^2−x+4)^3 a. Find the...
Consider the polynomial f(x) = 3x 3 + 5x 2 − 58x − 40. Using MATLAB....
Consider the polynomial f(x) = 3x 3 + 5x 2 − 58x − 40. Using MATLAB. Find the three roots of the polynomial, i.e, x where f(x) = 0, using Newton’s method. Report the number of iterations taken by each algorithm using a tolerance of 10−8 .
Use MATLAB to plot the polynomial y = 3x4 - 5x3 - 28x2 - 5x + 200 on the interval $1 ≤ x ≤ 1
Use MATLAB to plot the polynomial y = 3x4 - 5x3 - 28x2 - 5x + 200 on the interval $1 ≤ x ≤ 1. Put a grid on the plot and use the ginput function to determine the coordinates of the peak of the curve.  
Evaluate the integral. (Use C for the constant of integration.) √(-x^2-6x+27)
Evaluate the integral. (Use C for the constant of integration.) √(-x^2-6x+27)
Assume x and y are functions of t. Evaluate dy/dt with 4xy-5x+6y^3=-126, with dx/dt=-18, and x=6,y=-2...
Assume x and y are functions of t. Evaluate dy/dt with 4xy-5x+6y^3=-126, with dx/dt=-18, and x=6,y=-2 A retail store estimates that weekly sales and weekly advertising costs x​ are related by s=50,000-30,000e^-0.0004x. The current weekly advertising costs are ​$2,500​, and these costs are increasing at a rate of ​$400 per week. Find the current rate of change of sales per week. Use implicit differentiation to find y’ for the equation below and then evaluate y’ at the indicated point, (-4,4)....
Using MATLAB, Consider the polynomial f(x) = 3x^3 + 5x^2 − 58x − 40. Find the...
Using MATLAB, Consider the polynomial f(x) = 3x^3 + 5x^2 − 58x − 40. Find the three roots of the polynomial, i.e, x where f(x) = 0, using: (i) Bisection method, and (ii) Newton’s method. Report the number of iterations taken by each algorithm using a tolerance of 10^−8 .
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT