f(x) -10-9 8-7 -6 -5 -4 -3 -2 -1 2 3456 78 11. The intervals for whichf'(x) > 0 are : a. (-00, -4) only b. (-00, -4) U (-4,3) c. (-7,-4) U (3, o) d. (-00,-4) U (-4,3) U (3, 0) e. (-7,-4) only 2. 2.

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Q: Suppose that 3x - 5 f(æ) x + 6 (A) Find all critical values of f. If there are no critical values,…

A: Follow next step

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Q: f(t) = 3 – 9 ? -6, [-3, 3]

A: To find: The continuity of the function f(t)=3-9-t2 on the interval [-3, 3]

Q: 7. Using Lyapunov functions, show that the origin is unstable for the ODE i = -x3 ÿ = -y3

A: The solution is given below

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Q: Select all the intervals where h is increasing. 2.5- 1.5+ 1+ 0.5+ -2 -1 -0.5- 2 3 -4 1 -1+ -1.5+ y=…

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Q: Let f(x)=2x^3+3x^2-12x on [1,3].   what are all possible intervals on which f'(x)>0?

A: Solutions

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Q: _25. Determine if f (x) = {"" (2x – 1 if x 5 is continuous on [2,5]. A. discontinuous on an…

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Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

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Q: The function f(x) 1-7 is 94z2 Select one a. Increasing on (-1, 1) and decreasing elsewhere. O b.…

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Q: Find all critical numbers in the function f(x)=7 + 3^1/3 - 2sinX on the interval 0 < x < 2π

A: Critical number

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Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

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Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: A true statement for the function f(x)=2x²-3x²+10 is.. f decreasing on the intervals (-,0) and (1,-)…

A: f(x)=2x3-3x2+10

Q: The intervals where the function f(x) = -x2 +8x +8 is increasing or decreasing is increasing in…

A:

Q: ) = { 2- x if x<1 x² + x – 1 if x 2 1 _23. Identify the intervals where f (x) continuous. A.…

A: solution:-f(x)=2-x         if x&lt;1x2+x-1   if≥1for x&lt;1f(x)=2-x   is continuous in (-∞, 1)for…

Q: With a function of x^4 - 50x^2 + 9, and  increasing intervals at [-5, 0] and [5, infinity), and…

A: To find the inflection points of the given functions.

Q: -6 -5 -4 -3 256 224 192 160 128 96 64 32 -32 -64+ -96- -128 -160- -192 -224 -256- -288 -320- -352…

A:

Q: f (x) = - x² - 2 as x → -0 f (x) – as x → -o f(x) →-∞ as x → +∞ f (x) → +∞ as x → +o0 ƒ (x) as x -…

A: To describe the end behaviour of polynomial

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: What are intervals of concavity of the function f(x) = -2x + 6x² – 3 ? a. Concave upward on (-1, o0)…

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Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

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

Q: ind the intervals where f(x)= x3-2x2+8 is increasing and the intervals where it is decreasing

A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

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Q: Suppose that f(x)=6x3+3x.f(x)=6x3+3x. (A) Find all critical values of ff. If there are no…

A: Given: The function f(x)=6x3+3x, To find:  (A) All critical points of f, (B) Interval where function…

Q: 8- When f(x)-x' the value of error of Simpson's rule becomes .........

A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, -1)…

A: Given query is to find the interval where function is concave up and down.

Q: For what intervals is f(x) = x* – 8z² +3 decreasing? O The graph is decreasing on the interval (0,…

A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

Q: 13. Choose the correct intervals that represent the graph. f(x) < 0, where f(x) = (x + 4)(x + 2)(x -…

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Q: For the function f(1) = 2x-6x +7, find all intervals where the function is increasing: f is…

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Q: What are the 2 critical values of the The function f(x)= 2x^3-21x^2+36x-8

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Q: 5. 3. 2. 2 3 4 67 -2 -3- -4- -5 of Over which interval of x values is f' > 0? O (3, 00) O [3, 00)…

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Q: Choose the intervals of increasing and decreasing of f(x). x4 2x3 fx) =+ -12x2 n(-00,00) is…

A: We can solve the problem by graphing.

Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.

Q: The intervals where the function f(x) = -x² + 6x + 8 is increasing or decreasing is O increasing in…

A:

Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, 1)…

A: Concept: Concavity: If the line connecting two points is above the graph, or if the first derivative…

Q: 14. Find the end behavior for f(x) = -x - 4 A. x- +o, f(x) +0 x--o, f(x) - +0 B. x- +o, f(x)-0 x-…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: )=-x+8, over the interval [2,7]

A:

Q: (4x³ + 42x)(x² + 7)² - (xª + 21x²) · 2(x² + 7)2x (x² + 7)4 (G) f"(x) %3D 14x(21 – x²) (x² + 7) Since…

A: if f"(x) = 0 then point of inflection roots of x

Q: For the function f(x) = –2¤³ + 6x + 2, find all intervals where the function is increasing: f is…

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Q: ,3]---->R F(X)=2X-3 من المعلومات .A (7,5-, 3-, 1-, 1,3) .B (-7, -5,3-, 1-,1,3-) .c (-7,-5,-3,-1, 1,…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- y…

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