X, for x <0 f(x)%3D 4, for x = 0 x+1, for x> 0

Q: (x²-1) (In х) xe (1+e*) f(r) - r3(2) f(x) = f(x) =

A: As per guidelines we can find answer of only one question at a time. So if you need more answers…

Q: (h) Shrink vertically by a factor of 4. (x) y f(x - 4) O y = 4f(x) Oy = f(x) - 4 Oy = f(x) + 4

A: For function f(x),  y = f(x - a), represents shift a units to the right. y = af(x),  represents…

Q: 8 f ( x) d( x) =20, f (x) d(x) = – 6, ƒ ind | f(x) dx 2 4 |

A: Find your answer below

Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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Q: Increasing and decreasing functions Find the intervals onwhich f is increasing and decreasing.…

A: Given: fx=4-x2, fx=x2-16, fx=x-12 We know that any given functionfx is increasing in a interval if…

Q: f(x) = x° + a* +3 at x = 0 .

A: The Taylor series expansion of a function is given as,…

Q: 26. g(x) = 3x+ 4 %3D 5. f(x) = (x + 3)² – 5 for x<-3

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Q: 3. Find f. 1 (d) f'(x) = (e) f'(x) = 5 (f) f'(t) = at + vo

A: To find the function f from its derivative,integrate f'  with respect to the given variable. Use the…

Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function.…

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Q: 1 g(x) (1 – x)3'

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Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

A:

Q: デー 3) f(x) = x ーオくXく Ans. 3

A: The complex form of fourier series  for the function f(x) of period 2L is given…

Q: 4. Given the functions h(x) = 3x - 4 find h(x) 5x + 2

A: Here we have to find inverse of function h(x).

Q: f(x) = e + x³ – 1 and g(x) = 2r2 – 1. %3D Find (g of-)(e). · O C

A: Please refer to the image below

Q: 4. f(x) = -3|x - 4| + 6; vertical shrink by a factor of g(x)=

A: We have to write a function 'g' whose graph represents the indicated transformation of the following…

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

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Q: Find S'(-1) if #(f(x))'+ 9z°f(x) = 2 and f(-1) = 2 I'(-1) =

A: To find f'(-1) first we differentiate both sides of  the given equation with respect to x and then…

Q: CLions are shown. 3 A: g (x) = *+4 --x+4 B: f (x ) = (x + 2)(x + 6) h(x) C:

A: We are given functions: A.g(x)=-32x+4B.f(x)=(x+2)(x+6)and C.  for which we need to find which of the…

Q: 1) E(x) (2) Var(x)

A: a) Let X be a random variable with p.d.f  f(x)=kx-2         ;1&lt;x&lt;∞0              ; otherwiseTo…

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: 8) g(x+ 1) h) f(5x – 3) + g(3x) i) Find x, if f(x) = 40 i) Find x, if g (x) = -2 %3D ©OOC amazon

A: (g)  g(x) = x² - 5x + 3 So, g(x+1) = (x+1)² - 5(x+1) + 3 = x² + 2x + 1 - 5x - 5 + 3 = x² - 3x - 1…

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: 16) g(x) = 4x - 5 s(x) = x' + x² Find (g + f)(-2)

A: Given,      g(x)=4x-5      f(x)=x3+x2

Q: -n <x< 0 1. f(x) = { X. f (x + 2n) = f(x) 2x 0 < x < T

A: As per the company rule, we are supposed to have only one problem or three subparts. Problem 1 has…

Q: X1 ((-1- f(l)= f(0) = f(2.5)D

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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: (e) x+1 f(x)= 10(x-2)

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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: f(x) = x< – 7x + 3 f(x + Δx) = f(x) ΔΧ

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Q: 4. F(x)- F(x)=L x-1 5. Gx)-8-2x 6. h(t)= 2-1

A: For a real valued function f(x) We have to find all points x where f(x) is well defined Those points…

Q: Sf(x) – g(x) if f(x) ² g(x) lg(x) – f(x) if g(x) ² f(x) \f(x) – g(x)| %3D we obtain the formula…

A: Given: 1. f,g and h are continuous on [a,b]. 2. 3. To show: The area (A) of the region between the…

Q: a) f(x) =e**+ 2x +5) 35 26 f(x) =In(x +10x + 6)

A: The detailed solution is given below Thank you

Q: Given f(x) = e2(x-1) – 4x² –x + Inx then find f'(1). I.-8 II. -4 III. -8x IV. -6 V. (r-1) Saloct ane

A: Answer and explanation is given below

Q: 5x -1 7. f(x) = 3. a) HA at b) VA at

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: f(x) = (-x² + x)ln(x³ + 2x) f'(x) = ? %3D

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Q: |x| for x 2 10. g(x) = %3D

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Q: f(x) -ax e = X <0

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Q: f(x) = E(-1)" Vn(x – 4)" n! n=0 what is f(7) (4)?

A: In the seventh derivative of f(x) at x = 4, the only term contributing meaningfully will be the term…

Q: f(x)=8x+1 g(x)=7/x+1 (f*g)(x)= ?

A: Givenf(x)=8x+1g(x)=7x+1

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

A:

Q: 4) g(x) 5 at x=3

A: Given,  g(x) = 15·13x at  x = 3 g(x) = 15·133 =15·133=15·127 =1135

Q: 7. g(x) at x = 8 %3D 4- x

A: Note:- As you ask solution only of No. 7 so i am solving only it.

Q: PlY) X: PCx) メ-N (x-My (x-ル)*. P(x) 1/7 16 g*- 2kの.Pe) す。

A: 1) The given data  is ,  x p(x) 1 0.14285 6 0.14285 11 0.14285 14 0.14285 21 0.14285…

Q: 1 g(x) = X 57. f(x) x + 1’

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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: f(x + 2h) – 4f(x + h) + 6f (x) – 4f(x – h) + f(x – 2h) | | f(4)(x) = + O(h?) h4

A: By Taylor series expansion of the functions f(x+2h), f(x+h), f(x-h), and f(x-2h) and some simple…

Q: 4. f(x) = 10-5x² 5. f(x) = e[ 6. f(x) = /In(e 3x + a³x) %3D

A: