,2/3 The critical number(s) of f(x) : is (are) х — 1

Q: 1. Show that, if x(t) and x[n] are even, then x(t) = 2 x(t) dt and > x[n] = x[0] + 2 x[n]. n=-k n=1

A: If a function f(x) is an even function then f(-x)=f(x). Since x(t) , x[n] are even functions…

Q: Given f' (x) = e" · (x² + 5x + 6), and f" (x) = e# . (x² + 7x + 11), find the critical numbers of…

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Q: In Exercises 1-2 find the critical numbers of the given function. 1. f(x) = x²V2 – x 2. f(x) = cos…

A: We need to find the critical numbers for each of the given functions.

Q: 2. Find all the critical numbers a. f(x) = 2secx (0,2n) b. g(x) = (x² – 4)3

A: Critical Numbers : Critical numbers are the numbers where the function is defined and its derivative…

Q: manufacturing company employs two devices to inspect output for quality control purposes. The first…

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Q: Q11 Determine all the critical points for the following- S(x) = sin'x- cosx On the interval (0, 2n).

A: Given , f (x) = sin2x - cos x  (.) Definition :  Then critical point of a…

Q: Determine the critical value of x2 with 1 degree of freedom in each of the following…

A: a) The level of significance is 0.01.

Q: The function h(x) given by h(x) = –6 – 8.2944x - 4/5x + 3.84x³ has a critical number c = = -1.2.

A: We have given function hx=-6-8.2944x-45x5+3.84x3 and critical number c=-1.2

Q: What can you say about the upper bound of E(x) for numbers of the form 3^(2n) + 1?

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Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

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Q: Prove that for the gamma function [(x) = ftx-¹e-tdt that for n a positive integer then I(n) = (n-1)!

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Q: (8) Suppose f(x, y) = -x + y², x = s² +t°, y = 2s – 3t. Compute f, when s = 1 and t =-1. %3D

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Q: Given f(x)=6*x^3+6*x^2+-4*x, identify the two critical values. Put the most positive critical value…

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Q: The critical number(s) of f(r) = (x+ 1)/3 is (are)

A: Given,        The critical numbers of fx=x+113

Q: 6. Given f(x,y) = x² – 2xy² – 4xy + 5. Find all the critical points of f and determine the nature of…

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Q: Let p(x) = x2/x+2 and p'(x) = x2+4x/(x+2)2 (a) Find all critical values for p(x). Show you work.

A: We have to find

Q: 1. Differentiate the following with respect to x: a. y= 5x - + 5Vx + 3p ex + In(x) - 7 (9)

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Q: 39. Suppose c and d are not both 0, and let ax + b f(x) : cx + d Show that fhas no critical numbers…

A: Please see the explanation below

Q: 5. Let f(x) = ax'+bx²+cx+d. Determine the values of a, b, c, and d if f(x) has a point of inflection…

A: f(x) = ax3 + bx2 + cx + d  Point of inflection is (0,4)  So, f(0)   =   4  i.e.    a(0) + b(0) +…

Q: Let f(x) = (3 – 4x)* f(x) has one critical value at A = For x A, f(x) is Select an answer

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Q: 6.Suppose that the joint p.m. f. of X and Y is X- 00 Yə -1- 09 10 Determine: (1)-The value of a;…

A: Given:     x y   0 1 2 -1 0.05 0.1 0.1 0 0.1 0.2 0.1 1 a 0.2 0.05

Q: Let f(æ) = (6 + x)" f(x) has one critical value at A = For x A, f(x) is Select an answer

A: Find the critical value as f'(x)=0

Q: Let f(x) = (3 – 4x)² f(x) has one critical value at A = For x A, f(x) is Select an answer

A: We have to find the critical point

Q: Let f(z) = x² – 4x + 13. Find the critical point c of f(x) and compute f(c). The critical point c is…

A: Critical point: - Let's define fat b. b is a critical number of f if f(b) = 0or if 'f' is not…

Q: Find the critical points of f(x) = x'e X. .3.-X O A. X =0 and x = 3 O B. X = 3 only O C. X = 0 only…

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Q: .3 23–38 Find the critical numbers of the function. 24. ƒ(x) = x³ + 6x² 15x

A: See the details solution in below

Q: 15. Let f(x) = x² -4x+3. What are the critical number(s)? x = 1 b. x = 3 c. x= 1 and x 3 a. d. x = 2…

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Q: Find the x values of the two critical points of: 3(x- 1)23 6x – x² - 5 if x > 2. if x < 2 f(x)%3D X…

A: we have the given function is ;  f(x)=3(x-1)2/3if x≤26x-x2-5if x&gt;2

Q: One of the critical points of f (x,y) = x3 - 5y2 + 10y-27x is: O (1,-1) O (3,1) None of these O…

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Q: Let f(x) = (6 + 5æ) f(x) has one critical value at A = For x A, f(x) is Select an answer

A: f(x)= (6+5x)2  Find the critical points of f.

Q: The critical points of f(x)E x+2x° are ... 1. C 0 and -2/3 O and -3/2 2. O and 2/3 O and 3/2 3. 4.

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Q: The critical Points of f(x, y) - x' -3x +3y2-6y are: None of these O (1,1) and (-1,1). O (01) and…

A: We will find the first order partial derivatives of f and equate them to 0 to find the critical…

Q: 1 3 4. The set of critical numbers of f(x)= 3 x3 + 3 are 1)AO 0, (-/3,/3) BO CO {3,3-} {0,1} 1/2

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Q: Find the critical numbers for f(x) = 7x*eº. 0, e O 0. O alt Tla 20.-1 0,- .7

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Q: Given that f(x)= x³+ ax2 + bx has critical numbers at x =1 and x = 3,then a,b are O -7,8 O -8, 7…

A: f'(x) = x3 + ax2 +bx f'(x)= 3x2 + 29x + b Since x=1 and x=3 are critical numbers So, f'(1) = 0 and…

Q: 7] The Wronskian of the functions 1, x, and e -2x is (а) е' -2x (2x+1) (b) 4e-2x (c) -e(2x +1) (d)…

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Q: Let f(x) = (7+ 5x)° f(r) has one critical value at A = For a A, f(x) is [Select an answer

A: Finding the critical value of f(x) and determining the behaviour of f(x) at the critical point

Q: 15.)What is/are the critical value(s) or point(s) of the function h(x) =x³ +x² + x? %3D A. x = -1 C.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For f(x) = 1 –x2on [−2, 1], do the hypotheses and conclusion of Rolle’s Theorem hold?

A: Rolle's Theorem: Rolle's theorem states that if a function f is continuous and differentiable on the…

Q: If f" (c) > 0 where c is a critical number of f' (x), then (c, f (c)) is a relative maximum of of f…

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Q: One of the critical points of f(x,y) = x³ – 5y² + 10y – 27x is: O (1,-1) O (3,1) O (3,-1) None of…

A: Necessary Condition for Critical Point: A necessary condition for x, y to be a critical point of the…

Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: 7. Let f(r) = 2r - 4r? + 1. %3D (a) Find any critical points (c, f(c)) of f(x).

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Q: If x = c is a critical number of f, then f has a local extrema at I = c. True False

A: Question: If x=c is a critical number of f then f has a local extrema at x=c

Q: 2)The critical number/numbers of f(x) = tan(x? – 1) is/are A)0,1 B) 0 C)T, 2n D)2n,1

A: Given fx=tanx2-1

Q: The function f(x) = (6x+5)e^4x has one critical number. X= ?

A: Proceed as shown below...

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.