Consider the function f = x + 6cos(3x) + 5sin(x) +5 has at least one zero...

Consider the function f = x + 6cos(3x) + 5sin(x) +5 has at least one zero for all real numbers. Why?

Expert Solution

milcah answered 2 years ago

consider the function f(x) = 1 + x3 e-.3x a. what is f'(x) b. what is f''(x)...

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Consider the root of function f(x) = x 3 − 2x − 5. The function can be rearranged in the form x = g(x) in the following three ways: (a) x = g(x) = x3 − x − 5 (b) x = g(x) = (x 3 − 5)/2 (c) x = g(x) = thirdroot(2x + 5) For each form, apply fixed-point method with an initial guess x0 = 0.5 to approximate the root. Use the error tolerance = 10-5 to...

Consider the optimization problem of the objective function f(x, y) = 3x 2 − 4y 2...

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consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum...

consider the function f(x)=3x-5/sqrt x^2+1. given f'(x)=5x+3/(x^2+1)^3/2 and f''(x)=-10x^2-9x+5/(x^2+1)^5/2 a) find the local maximum and minimum values. Justify your answer using the first or second derivative test . round your answers to the nearest tenth as needed. b)find the intervals of concavity and any inflection points of f. Round to the nearest tenth as needed. c)graph f(x) and label each important part (domain, x- and y- intercepts, VA/HA, CN, Increasing/decreasing, local min/max values, intervals of concavity/ inflection points of f?

1. (8pt) Consider the function f(x) = (x + 3)(x + 5)^2 √ (7 − x)...

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Consider the function f(x)=arctan [(x+6)/(x+5)] Express the domain of the function in interval notation: Find the y-intercept: y= . Find all the x-intercepts (enter your answer as a comma-separated list): x= . Does f have any symmetries? f is even; f is odd; f is periodic; None of the above. Find all the asymptotes of f (enter your answers as comma-separated list; if the list is empty, enter DNE): Vertical asymptotes: ; Horizontal asymptotes: ; Slant asymptotes: . Determine the...

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