3x(x-1) (r)/ -3x+2 for x1, 2, %3D Suppose f(1) = -3, F(2) = 4. Then f(x) is continuous

Q: 5) f(x) = x³ – x² + 1 B) Removable discontinuity at: x =-1 Essential discontinuity at: x = 1 A)…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: 5) f(x) = x = 4 at V4 -x

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION, SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: f(x) = |x| · : %3D Then f-l(x) = if x > 0, and f-l (x) = if x < 0.

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Q: The leading behavior h(infinity)(x) for h(x) = (1.3x+(x^3.2)+(e^2.4x))/(1.3+3.2x+(2.4x^2)) at…

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Q: Find all relative extrema in the function k(x) = (x2 – 4)-2 on the interval [-3, 3].

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Q: (f + g - h) (x) f(x) = x + 4 g(x) = 2x2 + 2x h(x) = x² + 1 %3D O x2 + 3x + 5 3x2 + 3x + 5 O x2 + 3x…

A: We use the sum and difference of functions to answer the given question.

Q: f (x) = 2x -7 x* - > x - 2 critical points Find the

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Q: ax-4 XX _4 f(x) = %3D Domain: Range: Continuity:

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Q: 1- V1+ 36x2 Let f-(x) = 2x V1+ 36x? 2x f(f-(x)) %3D 1. V1+36x 6. - 2x

A: Here, the given function is: f-1(x)=1-1+36x22x Let,…

Q: 5 [f(x) + 7g(x)]dx if 5 | fx)dx = 3 and / g(x)dx = -8. -3 -3 5 (f(x) + 7g(x)]dx = -3

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Q: 3x-1 ind the critical points of the function f (x) = x+6

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Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: f(x, y) = e-(x²+y²)(3x² + y²) Calculate the extreme values of the function: = e-(x²+y²) (3x²+ y?)

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Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

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Q: 9. f(x) = x3-8 %3D at x = 2 x-2 10. f(x)= (x+2)(x+3)-12 ,at x = 1 x-1

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Q: 6. f(x) S(x) =-- x-3

A: Given query is to find domain , vertical asymptot and the intercepts of the function.

Q: the integration of : f(x) = - 2x+4/(x^2+1)(x^2-4).

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Q: x2 -16 f(x) = continous at x = 4. %3D x2 -3x-4

A: f(x) = x2-16x2-3x-4 continous at x=4 This can be solved using factorization of quadratic equation

Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real…

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: g(x) = 27x2 - x3 concave upward (-x , g) concave downward (g , x)

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Q: 2. f(x)=x²-6x X -6x Vertex x-intercept(s)

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Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

Q: f(x) = e^(-x2+x) yp = e^(-x2)

A: Y = CF +PI

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

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Q: f (x) = - x + 43x - 5 %3D as x → -00 f (x) →-0 as x -∞f(x) -8 | as x +oof(x) → -8∞ as x → +of (x) →…

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Q: (2x² - 2x 4 B) For what values of k and h is y={ k + 2x 2 + hx2 - 2 < x<-1 - 1<x< 2 2 <x<4…

A: B) Given, y=2x2-2x-4, -2≤x&lt;-1k+2x, -1≤x≤22+hx2, 2&lt;x≤4 and also continuous at x=-1, 2.  We have…

Q: 3. f (x) = x+2 %3D So Domain Range 4. f(x) = x2 + 2 fl-

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Q: x²-x-6 f (x) = x3+2x2-x-2 Hole: VA: НА: SA: x-intercepts: y-intercept:

A: Here, the given function is: f(x)=x2-x-6x3+2x2-x-2=(x-3)(x+2)(x2-1)(x+2)=x-3x2-1 So, the numerator…

Q: Graph the following functions.

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Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: y4–2x2 y4+x² , 0, if (x, y) + (0, 0) if (x, y) = (0,0) f(x, y):

A: The function will be continuous at a point if the value of the limit of the function at that point…

Q: 2 The function f(x)= (x² – 1) ³ , is decreasing on the interval (- 00,-2)U (0,2) AO (-1,0) U (1, ∞ )…

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Q: 3. f(x) = x In x - 2x + 3 on (0, ) . f(x) = -12r + 75x* – 80x . f(x) = x² - 2 In x %3D

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Q: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2 at x = 0.5 using: first backward difference with…

A: f(x) = -0.1x4 - 0.15x3 - 0.5x2 - 0.25x + 1.2at x = 0.5 using: first backward difference with…

Q: ) f(x) = V4 - シx-2 x- 2 %3D 1 8) f(x): %3D 9) f(x) = 1 %3D Vlx|-x 1 10) f(x) %3D |x|+x^ 11) f(x) =…

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Q: -5-k -5 If L f(x- k)dx = 1, compute f(x)dx. %3D 3-k 3

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Q: (-3 0 -2x + 4 f(x) = -1 if %3D -2 x

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Q: 02. Find the end behavior for y = x–9x+20. A. x + +0, f(x) → +∞ ; x → -o, f(x) → +∞ B. x → +0,…

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Q: 1 g(x – 2) (x – 4)(x + 2) ii) 2(Vx² – x + Vx – 8) 2 iv) g(x² + 6)\F(-x) = x2(x + 1)2

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Q: A function y = f(x) is decreasing on the interval [0, 5]. What conclusions can you draw about the…

A: A function is increasing, if when x increases, the value of y also increases.          Since the…

Q: 5 If f(x)=g(x)+3 where 2<xs 5, then [[{(x)+g(x)]dx = 2ſ8(x)+3.

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Q: x +x-6 F(x)%3D at x= - x+3

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Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

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Q: Maximize  f = 2x + 3y  subject to x  +  y  ≤  9 2x  +  y  ≤  12     y  ≤  8.

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Q: 47. f(x) = (x- 2) %3D 50. f(x) = -x + 4x %3D

A: Concept Used: Degree Leading coefficient End Behavior Even Positive Even Negative Odd…