Consider the following function. f(x) = 1 +7/x -8/x2
Consider the following function. f(x) = -½x2 – 3x + 1 Find the slope and an equation of the tangent line to the graph of the function at the point (-2,5). Slope: m= Equation: y = (Enter equation in slope-intercept form, i.e.y = mx + b)
7. Consider the function f on U50 defined by f(x) = [x2] where [2²] repre- sents the equivalence class of Ug that x2 belongs to. Verify that this is a homomorphism and then determine its kernel.
(1 point) Consider the function f(x) = x2/5(x – 9). This function has two critical numbers A< B Then A = and B For each of the following intervals, tell whether f(x) is increasing or decreasing. (-0, A]: ? [A, B]: ? [B, 0) ? The critical number A is ? and the critical number B is ? There are two numbers C < D where either F"(x) = 0 or f'(x) is undefined. Then C= and D= Finally for...
Consider the function x2 f(x) = 2 for -1 < x <n. Find the Fourier series of f. Argue that it is valid to differentiate the Fourier series term by term and compute the term by term derivative. Sketch the series obtained by term by term differentiation.
consider Which function is the result of vertically stretching f(x) = x2 - 7 by a factor of 2 an translating it downward 5 units? OA) A) y = x² - 12 B) y = 2x2 - 5 OC) y = 2x2 - 12 OD) y = 2x2 - 2
Consider the function f(x) = x2 - 8x + 8. The slope of the tangent line at x = 5 is 2. Find the equation of this tangent line. (Write your answer in the form y=mx+b with no spaces - as always, if the computer marks you incorrect even if you have the answer correct but just in a different form than I use, email me and I will fix your points.) Given the function f(x)= 4x2 - 3x +...
8. [10 points) a. Consider the function f (x1, x2) = x1 - xż. Investigate convexity of this function in R2. What can you say about minimum and maximum values of the function and its behavior at the origin. b. Consider the function f(x1, x2) = x1+xz over the domain C = = {x € R2 : || xt||1 < 1}. Find the maximum of the function f over C.
1. Consider the function defined by 1- x2, 0< |x| < 1, f(x) 0, and f(r) f(x+4) (a) Sketch the graph of f(x) on the interval -6, 6] (b) Find the Fourier series representation of f(x). You must show how to evaluate any integrals that are needed 2. Consider the function 0 T/2, T/2, T/2 < T. f(x)= (a) Sketch the odd and even periodic extension of f(x) for -3r < x < 3m. (b) Find the Fourier cosine series...
x2 +7x+12 1. Consider the function: f(x)= x +3 a. Is this function continuous at x = -3? b. Does this function have a limit at x = -3? dito c. Is this function differentiable at x = -3? d. Sketch a graph of the function in the space below. Be sure to include all pertinent features.
Consider the function f(x, y) = -8 – 2y – x+y + x2 + 1972. How many relative maxima, relative minima, and saddle points does f(x,y) have? NOTE: ONLY 3 ANSWER TRIES ON THIS PROBLEM. relative minima saddle point relative maxima Submit Answer Tries 0/3 This discussion is closed. Send Feedback