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Each blank is a part of one question so fill in all blanks please. (1 point)...
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Consider the function f(x) = x - 6x13 For the following questions, write inf for 00, -inf for -, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist a.) The domain of this function: b.) The x-intercept(s): and the y-intercept(s): c.) The critical number(s): d.)f(x) is increasing on...
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(1 point) Book Problem 27 Consider the function f(x) = 3 cosx - cos x for 0 <x<2. For the following questions, write inf for co, -inf for – , U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist. a.) The x-intercepts are b.) f'(x) = c.) f(x)...
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(1 point) Book Problem 9 6x - 5 Suppose that f(x) x +7 (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined. Domain: (B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them...
(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...
5. (4pts, each) In each part, list the point (A-E) on the graph off whose x-coordinate satisfies the given conditions. (a) f'(x) > 0. and F"(x) > 0 (b) f'(x) <0. and f"(x) = 0 (c) f'(x) = 0.and f"(x) < 0 6. (12pts) Find all critical numbers of f(x) = x + Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum. Show your work to get a full...
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Suppose that f(x) = x4 + 12x3. (A) Use interval notation to indicate where f(x) is defined. If it is defined on more than one interval, enter the union of all intervals where f(x) is defined. Domain: (B) Find all intercepts. If there are no intercepts, enter None. If there are more than one, enter them separated by...
Consider the function f(x)= 2sin(x) + [(sqrt3)/2] x2 This function has two inflection numbers A<B in [0,2pi]:A= and B= For each of the following intervals, tell whether f(x) is concave up (type in CU) or concave down (type in CD).[0,A)=(A,B)=(B,2pi]=
Consider the function f(x) = 9x + 7x1. For this function there are four important intervals: (-00, A], (A,B),(B,C), and [C,) where A, and are the critical numbers and the function is not defined at B. Find A and B and C For each of the following open intervals, tell whether f(x) is increasing or decreasing. (-00, A): Select an answer (A, B): Select an answer (B, C): Select an answer (C,00) Select an answer Note that this function has...
7. [23] Given the following function:: f(x)-x-4x +6 (a) Find all of the critical points of this function. Show your work. (b) Characterize each of the critical points as a local maximum, a local minimum or neither. Show your work. (c) Find all of the inflection points of this function (verify that it/they are indeed inflection points). (d) On what interval(s) is this function both decreasing and concave down? on the interval -15xs1. Show (e)Find the global maximum and minimum...
question 8 has parts (A-I)
Problem 8. 1 point) Suppose that f(x) (9 6x)e Note: Several parts of this problem r (A) List all the critical values of fx) Note: If there are no critical values, enter NONE require answers entered in interval notation. Note, with interval notation, you can enter the empty set as (B) Use interval notation to indicate where f(z) is increasing increasing (C) Use interval notation to indicate where f(z) is decreasing Decreasing (D) List the...