Use the Golden Section algorithm to find the minimiser of f(x)=(x^4)-(4*x^3)+6 over [-10,10] with...
Use the Golden Section algorithm to find the minimiser of f(x)=(x^4)-(4*x^3)+6 over [-10,10] with an error of less than one. Record the used x-values and corresponding function values. Compare your estimate with the true minimiser of f over [-10,10].
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Use the Golden Section algorithm to find the minimiser of f(x)=(x^4)-(4*x^3)+6 over [-10,10] with...
Find the minimum of the given function f(x) using the Golden Section Search at an interval 2,3.25...
can
you please show hand calculations
Find the minimum of the given function f(x) using the Golden Section Search at an interval 2,3.25]. Show hand calculated solutions, fill in the table, and use three decimals. Regarding MATLAB, plot the function and solve for the extremum using a built-in function. f(x) 3cos(a) sin(a) 2(2) 3.525 | -2:408|1o311
Find the minimum of the given function f(x) using the Golden Section Search at an interval 2,3.25]. Show hand calculated solutions, fill in the...
Use the Golden-Section Search method to find the minimum of the function
Use the Golden-Section Search method to find the minimum of the function, f(x) = 0.7x - 10ln(x-5), in the interval [18.5, 20]. Use |ξa| < ξs = 0.5% as the terminating condition of the search.
4. Use the golden section rule to find the value of x that minimizes the function (x)-146070x in the range [0 2]. Locate the value of within the range 0.3. (This was done in the class and will gi...
4. Use the golden section rule to find the value of x that minimizes the function (x)-146070x in the range [0 2]. Locate the value of within the range 0.3. (This was done in the class and will give [a,b,1) done take the average value of [a,b, ) and use Newton's 50 points
4. Use the golden section rule to find the value of x that minimizes the function (x)-146070x in the range [0 2]. Locate the value of within...
given values are correct. only need missing values. (1 point) Starting with a--1, b = 1, do 4 iterations of golden section search to estimate wheref(x)-(x2-sin(4 * x)) reaches a minimum. f(c) f(d)...
given values are correct. only need missing values.
(1 point) Starting with a--1, b = 1, do 4 iterations of golden section search to estimate wheref(x)-(x2-sin(4 * x)) reaches a minimum. f(c) f(d) 0.236068 0.23607 0.236068 0.23607 0.52786 0.75434 0.57873 2 -0.236068 0.527864 3 0.527864 0.23607 0.34752 -0.75434 -0.86295 0.34752 -0.86295
(1 point) Starting with a--1, b = 1, do 4 iterations of golden section search to estimate wheref(x)-(x2-sin(4 * x)) reaches a minimum. f(c) f(d) 0.236068 0.23607 0.236068 0.23607...
1. Use golden-section search method with initial guesses of x = 0 and x=3 to minimize...
1. Use golden-section search method with initial guesses of x = 0 and x=3 to minimize the following function: f(x)=10 exp(-x)+x? @ Don't use any computer program. Only a portable calculator is allowed. 2. Use parabolic interpolation method with initial guesses of x=0, x=1, and x3 = 3 to minimize the following function f(x)=10 exp(-x)+x? Don't use any computer program. Only a portable calculator is allowed. The minimum value of f(x)=10 exp(-x)+x is 1+In 30 = 4.401197... at x =...
7 significant digits please (1 point) Starting with a =-1, b = 1, do 4 terations of golden section search to estimate where f(x)-(r-sin()) reaches a minimum. f(c) f(d) (1 point) Starting with a =...
7 significant digits please
(1 point) Starting with a =-1, b = 1, do 4 terations of golden section search to estimate where f(x)-(r-sin()) reaches a minimum. f(c) f(d)
(1 point) Starting with a =-1, b = 1, do 4 terations of golden section search to estimate where f(x)-(r-sin()) reaches a minimum. f(c) f(d)
6) Use MATLAB and Newton-Raphson method to find the roots of the function, f(x) = x-exp...
6) Use MATLAB and Newton-Raphson method to find the roots of the function, f(x) = x-exp (0.5x) and define the function as well as its derivative like so, fa@(x)x^2-exp(.5%), f primea@(x) 2*x-.5*x"exp(.5%) For each iteration, keep the x values and use 3 initial values between -10 & 10 to find more than one root. Plot each function for x with respect to the iteration #.
3. (30 points) Let f(x) = 1/x and data points Zo = 2, x,-3 and x2 = 4. Note that you can use the ...
3. (30 points) Let f(x) = 1/x and data points Zo = 2, x,-3 and x2 = 4. Note that you can use the abscissae to find the corresponding ordinates (a) (8 points) Find by hand the Lagrange form, the standard form, and the Newton form of the interpolating polynomial p2(x) of f(x) at the given points. State which is which! Then, expand out the Newton and Lagrange form to verify that they agree with the standard form of p2...
algorithm 2.2 Calculus Suppose you want to find zeros of the function f(x)102212 and plan to...
algorithm 2.2
Calculus Suppose you want to find zeros of the function f(x)102212 and plan to use the Newton-Raphson scheme. (a) Write down the Newton-Raphson algorithm for this. That is, write down explicitly a formula for computing your (n+1)st guess Tn+1 given your nth guess rn for a root. In other words, deter- mine the recurrence relation resulting from using this particular function f. (b) Modifying Algorithm 2.2 as required, find the values through r7 if you choose an initial...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) -...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
can
you please show hand calculations
Find the minimum of the given function f(x) using the Golden Section Search at an interval 2,3.25]. Show hand calculated solutions, fill in the table, and use three decimals. Regarding MATLAB, plot the function and solve for the extremum using a built-in function. f(x) 3cos(a) sin(a) 2(2) 3.525 | -2:408|1o311
Find the minimum of the given function f(x) using the Golden Section Search at an interval 2,3.25]. Show hand calculated solutions, fill in the...
4. Use the golden section rule to find the value of x that minimizes the function (x)-146070x in the range [0 2]. Locate the value of within the range 0.3. (This was done in the class and will give [a,b,1) done take the average value of [a,b, ) and use Newton's 50 points
4. Use the golden section rule to find the value of x that minimizes the function (x)-146070x in the range [0 2]. Locate the value of within...
given values are correct. only need missing values.
(1 point) Starting with a--1, b = 1, do 4 iterations of golden section search to estimate wheref(x)-(x2-sin(4 * x)) reaches a minimum. f(c) f(d) 0.236068 0.23607 0.236068 0.23607 0.52786 0.75434 0.57873 2 -0.236068 0.527864 3 0.527864 0.23607 0.34752 -0.75434 -0.86295 0.34752 -0.86295
(1 point) Starting with a--1, b = 1, do 4 iterations of golden section search to estimate wheref(x)-(x2-sin(4 * x)) reaches a minimum. f(c) f(d) 0.236068 0.23607 0.236068 0.23607...
1. Use golden-section search method with initial guesses of x = 0 and x=3 to minimize the following function: f(x)=10 exp(-x)+x? @ Don't use any computer program. Only a portable calculator is allowed. 2. Use parabolic interpolation method with initial guesses of x=0, x=1, and x3 = 3 to minimize the following function f(x)=10 exp(-x)+x? Don't use any computer program. Only a portable calculator is allowed. The minimum value of f(x)=10 exp(-x)+x is 1+In 30 = 4.401197... at x =...
7 significant digits please
(1 point) Starting with a =-1, b = 1, do 4 terations of golden section search to estimate where f(x)-(r-sin()) reaches a minimum. f(c) f(d)
(1 point) Starting with a =-1, b = 1, do 4 terations of golden section search to estimate where f(x)-(r-sin()) reaches a minimum. f(c) f(d)
6) Use MATLAB and Newton-Raphson method to find the roots of the function, f(x) = x-exp (0.5x) and define the function as well as its derivative like so, fa@(x)x^2-exp(.5%), f primea@(x) 2*x-.5*x"exp(.5%) For each iteration, keep the x values and use 3 initial values between -10 & 10 to find more than one root. Plot each function for x with respect to the iteration #.
3. (30 points) Let f(x) = 1/x and data points Zo = 2, x,-3 and x2 = 4. Note that you can use the abscissae to find the corresponding ordinates (a) (8 points) Find by hand the Lagrange form, the standard form, and the Newton form of the interpolating polynomial p2(x) of f(x) at the given points. State which is which! Then, expand out the Newton and Lagrange form to verify that they agree with the standard form of p2...
algorithm 2.2
Calculus Suppose you want to find zeros of the function f(x)102212 and plan to use the Newton-Raphson scheme. (a) Write down the Newton-Raphson algorithm for this. That is, write down explicitly a formula for computing your (n+1)st guess Tn+1 given your nth guess rn for a root. In other words, deter- mine the recurrence relation resulting from using this particular function f. (b) Modifying Algorithm 2.2 as required, find the values through r7 if you choose an initial...
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
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