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Please choose the correct response and fill in the answer. Thank you! Given that f(x) =...
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Find and sketch the domain of the function. f(x, y) = √y+√4x² - y2 у 0 0 4 X 0 2 0 Type here to search a i
Please answer all 3 question in neat handwriting. Thank you
Find the particular solution for the equation. dy = 8x3-9x? +7x: y=0 when x = 1 y = Determine the location of each local extremum of the function. f(x)=x? + 6x2 - 2 What is/are the local maximum/maxima? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The local maximum/maxima is/are at x = (Use a comma to separate answers...
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(e) Given that f(n) € O(n) and g(n) e O(n log n), please formally prove that f(n) + g(n) € O(nº). [4 (6) We know that kn is in O(n) for any constant k. Is the following claim correct? Briefly explain. I kn = ŻO(n) = O(n?) 13 o f is a function that satisfies the following: • f is in O(n), . f is in 2(1), • f is neither in e(1)...
algebra/trigonometric
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For the given functions f and g, find the composition. 17) f(x) = x2 + 2x; g(x) = x + 2 Find (f.g)(2). 18) f(x) = x2 + 4x; g(x) = x Find (g • f)(3). 19) f(x) = x + 3; g(x) = 3x Find (f.g)(2).
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For each problem, find the intervals where the function is increasing and decreasing. (12 pts each) 5) f(x) 2x x + 3 6) f(x) = x2 - 4x² + 7
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How many rows and columns must a matrix A have in order to define a mapping from R into R by the rule T(x) Ax? Choose the correct answer below OA. The matrix A must have 7 rows and 7 columns. O B. The matrix A must have 9 rows and 7 columns OC. The matrix A must have 9 rows and 9 columns O D. The matrix A must have 7 rows and...
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Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
Can i please get the explaination with questions and answers
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Follow the seven step strategy to graph the following rational function. 4 f(x)2+2x-8 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below O y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry box to complete your choice. What is the y-intercept? Select the correct choice below and, if necessary fill in the answer OA. The y-intercept...
Graph the polynomial function f(x) = 5x®. Then answer parts a and b. Choose the correct graph below. ОА. 0 a) Determine the largest open interval of the domain for which the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The function is increasing on (Type your answer in interval notation.) OB. The function is not increasing on any interval of the domain. b) Determine the largest...
Given that f(x)=x-4 and g(x)-7 x+3, find if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A O B. The value for does not exist.