A let flx1 - 2ペ+7X+6 then Hien f(8) = P

Q: .3 Let f(r) = r* + 5x + 2x+2x. Then f'(T) is and f"(1) is and f'(1) is

A:

Q: 7. If f(r) = 6x³ - 5xª + 3z³ – 7:x² + 9x – 14, then find f(n) (x) for all r € N.

A: Using basic differentiation formula, find nth differentiation of  f(x).

Q: -(+2h)+16f (x+h)-30f(x)+165 (x-h)-(-2h) Suppose f"(x) 3 Show that the error is O(h4)

A: It is given that,

Q: 3. f(x)=-5sin ax+- 江x- +2 2

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Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

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Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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Q: If f(x)=4sin−1(x5), thenf'(x) =

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Q: A- TI x + 2 x² – 3x – 10 51. f(x) x + 2| 53. f(x) : x + 2 х, 55. f(x) : x, xs 1 [x², x > 1 %3D x +…

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Q: {G) = -2x+5 firid f(2)

A: To find: The value of f1. Given: The function is fx=-2x+54. Calculation: Substitute x=1 in…

Q: How to get (t) when: h= -0.00439t^4+0.04293t^3-0.17316t^2-0.2711t+59471 And h=0

A: Putting h=0 in the given equation. -0.00439t4+0.04293t3-0.17316t2-0.2711t+59471=0 Let…

Q: Determine £(F) s -7s+11 F(s)= (s+ 1 (s +6)

A: Given that  F(s)=2s2-7s+11s+12(s+6)

Q: f(x)=x^3-18x^2+105x-197 For what numbers does ff have a critical number?

A: To find the critical number of a function f(x) , set  f '(x)=0 and then solve for x.

Q: Fre Prove F gd(aib)=1

A: If g.c.d(a,b)=1 then We have to show that gcd(a+b,ab)=1

Q: 2s – 3 F(s) = + 2s+10

A: Here the given function is F(s)=2s-3s2+2s+10. We have to find the inverse Laplace transform of this…

Q: Evaluate the function at the indicated values.

A: The given function is fx=4-3x-6

Q: 9. If f(x) = e3x, then (f-1)'(x) = %3D 2 А. e3x В. e3x 1 С. 3e3x D. 3x

A: Given: y=e3x for finding given derivative, first we find inverse of given function for that we take…

Q: 5. Defuef f(マ)L as f Cau (a) り)I(2

A: Given function is, a)  f(x,y)=ln3x2-x2y2+3y2x2+y2 b) f(x,y)=3x2yx2+y2

Q: f(x) = 4x In(x), x> 0.

A:

Q: 0st<3 -t, 4. Find the convolution of f(t)={2' 0, otherwise 4, -1<t<3 and g(t)=- |0, otherwise…

A: Given:-            ft and gt                 = f×g = ∫-∞∞f t - τgτdτ.…

Q: Q: Fin Criti f(x1

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: for t < -2 t+ 6 f(t) = for -1< t < 2 t2 -- t \3t - 2 for t 2 2

A: Given- ft=t2           for t&lt;-2t+6t2-t     for  -1&lt;t&lt;23t-2      for          t≥2   To Find-…

Q: е. f. X, -1.5 -1 -0,5 0 0.5 1.5 4 1/3 1/2 2л / 3 5n 6 -2 -4 -6

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Q: [4 Let A = * 1. Find f (A), where f(x) = 2x3 + 3x2 + 4x + 5

A: Answer

Q: ,x2

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Q: 1 f(z) = |, + tdt If then f'(x) = 3x^6 f'(-3) = 729

A: fundamental theorem

Q: Describe the long run behavior of f(n) - 4n? – 5n° – 3n³ + 4 As n → 00, f(n) → As n > 0, f(п) —>

A: We have to find behavior

Q: S2x – 4 x² - 2 find: (a) f(0) if -1 sxs2 if 2 <xs 3 If f(x) (b) f(1) (c) f(2) (d) f(3)

A: As there are multiple sub parts a), b) and c)  are solved here.

Q: ab Q4: Show that if f(x) : then fa - fb = f() b-a

A:

Q: Determine £'(F}. 5s + 44s + 192 F(s) = (s - 3)(s² + 4s + 20)

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Q: 1.a. Determine the values of a and b for fx) =-2x + ax+ bx+ 6 so that f"(-2) = 0 and f"(7) = 0. b.…

A: fx=-2x3+ax2+bx+6 Differentiating w.r.t x- f'x=-6x2+2ax+b Then,…

Q: جر جدور المعادلة )و تكرارات ( f(x) = x- AX+3 )4ا,2]

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Q: If f(x) = cosh-'(5x), then f'(x) %3D

A:

Q: Describe the long run behavior of f(n) = - 4n° + 2n° – n² + 4 As n → - 00, f(n) → As n → 0, f(n) → ?

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Q: f(x) = - 4x - 2 on (- 0,0)

A: Given: fx=-4x-2 on -∞,∞ To determine whether the graph is increasing or decreasing on the given…

Q: a. Ak x+2, y=x→_ b. As x→2, y =-x →_ 6. As x → 2. y =x'+ 3x² →. d. As x→-0, y =-3x² →. e. As x→2, y…

A: answer of given question is in step 2

Q: 30-4 If f(x) = , then f'(2) - Select one: Oa -6x 6.x 3. + 12x 4. 37-4 O b. 2.

A: For a function f the derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. For some standard functions…

Q: f.(1,1) + fy(1,1) = ?

A:

Q: ô² f If f(x, у) — 3x'у + 7х, then дудх

A:

Q: What is f'(3) if f(z) = z/2z - 2 I.

A: d(xn)dx=n(x)n-1

Q: 4, 0st< 2 2. f(t) : [0, t2 2

A:

Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

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Q: Find f(t) if F(s) = 3s +7 s²-25-3

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Q: 2 4 Fs [f"(x)] = √ √ ² Pf60) - P²Fs {f(x)] proof: H⋅w.

A: Introduction: A Fourier rework (FT) is a mathematical rework that decomposes capabilities relying on…

Q: dæ Evaluate f x² /9-x² Select one: O a. + vo =) +C /9–x² O b. 9-x² (9–a 81 을)+c :) +C c. (9-z*) 9-z²…

A: Explanation of the answer is as follows

Q: 21 12 b. f(x) – f(x) = f(x) - where a= and b=

A: Suppose point c belongs to the interval [a, b], then ∫abfxdx=∫acfxdx+∫cbfxdx

Q: If f(x) = 3X, then f'(x)= 3TX A In 3 3TX B In 3 1(3Tx-1) D TIN3(3 )

A: We have to solve

Q: 2 f(x) = v2x + 3,as 2. f(x) = v2x +3,a =3 %3D

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Q1. 2x+2 x+1 f(x) =2x-3 r-3 (a) Express f (x) as a single fraction in its simplest form. (b) Hence…

A:

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…