Consider the function, f(x) = - x4 - 2x3 - 8x2 - 5x Use the golden...

Consider the function, f(x) = - x⁴ - 2x³ - 8x² - 5x

Use the golden section search (x_l = -2, x_u = 1, ε_s = 1%)

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orchestra answered 2 years ago

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2]...

Consider the function y = f(x) = 2x3 − 3x2 − 9x − 2. (a) [2] Specify the (open) intervals on which f(x) is increasing, and the intervals on which f(x) is decreasing. (b) [2] Specify all local maxima and local minima, giving both x-coordinates and y-coordinates for them. (c) [2] Specify the intervals on which f(x) is concave up and on which f(x) is concave down. (d) [2] List the inflection point(s). (e) [2] Sketch a graph of y...

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?....

Consider the function f(x)f(x) whose second derivative is f''(x)=5x+10sin(x)f′′(x)=5x+10sin(x). If f(0)=4f(0)=4 and f'(0)=4f′(0)=4, what is f(5)f(5)?. show work

Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part. Find...

Use the function f(x) = 2x3 - 6x2. Clearly mark your answer for each part. Find the x and y intercepts. Give your answer as points. State the intervals of increase and decrease. State the local maximum and minimum points. State the intervals of concave up and concave down. State any in ection points. Graph the function. Label any relevant points found in the above parts.

f(x)=x4−8x2 a. Interval(s) of increase/decrease b. Local maximum and minimum values as coordinates (x,y) c. Intervals...

f(x)=x4−8x2 a. Interval(s) of increase/decrease b. Local maximum and minimum values as coordinates (x,y) c. Intervals of concavity d. Inflection points as coordinates (x,y) e. Y-intercepts as coordinates f. X-intercepts as coordinates

Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x)...

Use finite approximation to estimate the area under the graph f(x)= 8x2 and above graph f(x) = 0 from X0 = 0 to Xn = 16 using i) lower sum with two rectangles of equal width ii) lower sum with four rectangles of equal width iii) upper sum with two rectangles of equal width iv) upper sum with four rectangle of equal width

Use the function below to answer parts a-k. f(x)=x^3-5x^2+3x+9 a. Is the function algebraic or exponential?...

Use the function below to answer parts a-k. f(x)=x^3-5x^2+3x+9 a. Is the function algebraic or exponential? b. Find the domain of the function. c. Find the interval where the function is continuous. If the function is discontinuous at a value, specify the first continuity condition that is not satisfied. d. What is/are the x-intercepts? e. What is the y-intercept? f. Find all of its critical values stating if they are absolute/relative max or min. g. What are the hypercritical values?...

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...

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Consider the function, f(x) = - x4 - 2x3 - 8x2 - 5x Use the golden...

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