What is the critical point of the following function? f(x, y) = xy² (2 - x - y) Choose the correct answer, justify O (1/2, 1) O (1,1/2) O (-1,-1/2) O (-1/2,-1)

Q: As r -00, f(x) 00 and as r oo, f (x) -oo. Which of the following functions could be f(x)? Oy= 2a +…

A: Here use the limits to find the required functions.

Q: -3x 26. If f(x) = {0 2x + 1 if x -1 find: (a) f(-2) (b) f(-1) (c) f(0)

A: (a) To find: The value of function f-2. Given: The function is fx=-3x       if x<-10…

Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

Q: Show that f[x0, x1, x2] = f[x2, x1, xo].

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Q: is The range of the function f(x)%= 3cos(x)+5 Select one: O a. [-3,5] O b.[-1,1] C. d.

A: The range of the function is the set of all values that f(x) takes.

Q: (c) Show that f(x)>0 for all values of x, x # -2.

A:

Q: 3. Find f(x) and f (x) if f(x) = lnx + 2cos³ x. %3D

A: First use sum/difference rule of differentiation f±g=f'±g' then use the following formulae: dln…

Q: 71) Find the following for the given function: (S+8)(x) · (S−8)(x). (18)(x) . (4)(x). (f+8)(3).…

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Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: What is the domain of the function f (x) : (-1,0) U [1, 00) b. (-1,0] U (1, ∞) c. (-00, –1) U [0,1)…

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Q: 10+5R 1. Let f(x) = /2x³ – (R + 1) and k(n) = a. Show that (fof-)(x) = x .Answer the followings: b.…

A: In mathematics, an injective function is a function f that maps distinct elements to distinct…

Q: 5. Evaluate f V2x + 1 dx. (2x + 1)/2 + C a. 3. b. (2x + 1)/2+ C c. (2x + 1)/2 + C d. (2x + 1)/2 + C

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Q: Find The value of K, to Continue The Function X-2 - fx) = 4- VI4+X メ+2 メ=2

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Q: z) = (x2 + then (a + E

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Q: 2

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Q: The critical points of the function f(x)= 2x-24x+1 are O a. -2,0 O b. 1,2 O c. 0,2 O d. -2,2

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Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

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Q: Find f(k-1) when f(x) = 5x² + 3x + 6. OA. f(k-1)= -7K² +5k+8 OB. f(k-1)=5k2-7K+8 OC. f(k-1)=5k²-7k+…

A: Given,

Q: Evaluate the difference quotient fla +h) – fla) for the function Ar)= 4х-3 (h - 6)/9h 1/9 4/9

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Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: (a) Are the following functions surjective? Justify your answers. (i) The function a : Z→ Z defined…

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Q: The range of the function f(x, y) = 6 - 4 - x2 - y² is (-00, 6] o [4, 0) [4, 6] (-0,4] [6, 00)

A:

Q: What is the height of the perfect binary tree shown below?

A: The height if binary tree T' is calcuated using the formula h(T')=h(T)+1 where h(T)=01

Q: 16. Given the functions f(x) = (x - 3)² and g(x) = -x + 2. Which function represents the combined…

A: Let f(x) and g(x) be two polynomial,  then the difference f(x)-g(x) is given by simply subtract the…

Q: An inflection point of the function ƒ (x) = 2x³ – 12x² – 24x −— 10 is at x= 01/1/20 O 01 O 3 04

A: The inflection point is a point in which the concavity of the function changes. It means that the…

Q: 3. Let f (x) = 2x2 – 4. Find the indicated function values. - (a) f(3) (b) f(0) (c) f(-5) (d) f(6b)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 25. Let f(x) = 5x² + 1. Evaluate and simplify each of the following: f(4)-f(1) 4-1 (A) (Bu PC (B)…

A: Given function is we have to evaluate the following  and simplify them