At which value in the domain does ffx) = 0? 10 8. f(x} 4- 2 4 -3 -2 2h 3 4 X -6 -8 -10 O x=-3 X= 0 X 1 %3D X=4

Q: 10 Evaluate , 11 f(x)dx given that f(x)dx = 4 and Sa f(x) dx = -2. -3 10

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Q: Find the critical numbers of the functions. a) f(x) — х2 + 4х b) f(x) — х3 —7x? — 5х с) f(x) 3 2x3 -…

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Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Express the statement as a formula that involves the given variables and a constant of…

A: It is given that, y is directly proportional to x and inversely proportional to the square of z.…

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

Q: 11. If f(x) = 15 -g (x) for -2 <x < 2, then If(x)– = - (x)] dx : %3D (A) 2 g(x) dx – 60 | -2 ~2 (B)…

A: Consider the given function. fx=15-g(x) in the interval -2≤x≤2. The objective of the problem is to…

Q: 13 Given that f(x)= 2x+1 and h(x)=x, find (h o f)(3).

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Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: 6. If f(x)dx = 5, S f(x)dx = 2, and f f(x) dx = -1, find , f)dx. %3! %3D a. -2 b. 2 С. —3 d. 3

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Q: If S f(x) dæ = 10 , and 10 , and 2f(x) dx = 4 , what is S f(x) dx ?

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Q: The function f(x) = 2x³ 30x? + 54x 6 has two critical numbers. The smaller one is x = and the larger…

A: We have to find

Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…

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Q: 1) If f(x) = - 2x, then f' (8) = A) B) D) 1 E) 3 3x -2 2) If f(x) = , then f'(x) = 2x+1 A) 2 -7 B)…

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Q: 10 if f(x)= t +P, then %3D f'(X) = f'(-2)=

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Q: Ex 2. Find the critical points for: |a) f(x)= 2x³ +3x? b) f(x) ={Vx² –1

A: Critical points are the points where local maxima or minima of a function occurs.

Q: PLEASE HELP ME ANSWER WITH SOLUTION    18

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Q: -10 8. If S" f(x)dx = 4 and Siof(x)dx = 7, then f(x)dx = -3 %3D (a) 0 (b) –3 (c) 3 (d) 11 |

A: Given:-

Q: Which is equal to () (x) given that g(x) = 1 – 3x and h(x) = Vx? %3D Vx – 3xVx 3xVx Option 1 Option…

A: Let's find.

Q: 2х + 3, х 1 21 B 19 C 28 D) 16 A.

A: We find out the value of given integral. Follow 2nd step.

Q: X f(x) =< Q 14/15 7 x + 1 3 ;0≤x≤2 ;2≤ x ≤3 5 Tov Then what is the result of 3 (fx) dx 1

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Q: 2. Determine the following: а. f(8х3 — 2х +9) dx 3 4 6. Vx2 b. S 2-x dx - x2 3

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Q: 2. Given: f(x)= x' +4x? – 2x+9 g(x) — х? +2 %3D h(n+2)= 2h(n+1)– 3[[h(n)]° h(1) =1 and h(3)= 5 f(-5)…

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Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

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Q: S If 2x²+x+1 (x-1)(x + 1)(x-2) a A (B) - (D E 3 =1 3 C) None -2 B C dx = MAR √²+1 dx. dx, then the…

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Q: Which is equal to (4) (x) given that g(x) =1 – 3x and h(x) = Vx? %3D Vx – 3xVx - 3xVx X. Option 1…

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Q: 6. 6. If f(x) dx f(x) dx = 3.8, find 5 f(x) dx. = 12 and %3D Answer:

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Q: Q2: Solve the following FLPP by Approximation of Fractional objective * ? function 3x; +3x, +2x, +1…

A: Given FLPP is Max Z=3x1+3x2+2x3+12x1+x2+x3+1s.t.2x1+5x2+x3≤2x1+2x2+3x3≤3x1,x2,x3≥0 Now adding slack…

Q: Find the value of 3t dt 0. O a. 4/3 O b. 2/3 O c. 1/3 O d. 5/3

A: A detailed solution is given below

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

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

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

Q: 1. Given that : {(2) dæ = 4, f(x) dæ = 3 and f(x) dx = 3 and | f(x) dx = 5, find: -1 (a) f(x) dx.…

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Q: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: If  8 f(x) dx = 31   0  and  8 g(x) dx = 12,   0  find  8 [2f(x) + 3g(x)] dx.   0

A: we have to find

Q: 4. If f(x, y)= 1 , find f, and f, .

A:

Q: The Range of y = [2x + 1] is Z. FO * 2.2 2х-1 If y = Vx? – x then y' 3. 3 Vx2-x F O

A: Given(1)-      y=[2x+1]As we know that is set of all valid output values or all valid y values…

Q: 2. If h(x) = 4 +3f(x), where f(1) = 7 and f'(1) = 4, find h'(1). %3D

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Q: Which is equal to (2) (x) given that g(x) = 1 – 3x and h(x) = Vx? Vx – 3xVx 3x/x - Option 1 Option 2…

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Q: Which of the following can be determined given A [²(f(x) + g(x) + h(x) dx 4 ® B √g(x) dx © (4f(x) +…

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Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: can you prove E(x^2) = Var(x)+[E(x)]^2 ?

A: Variance:The expected squared difference between a random variable and the mean can be termed as…

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: Find the particular solution determined by the given condition. f'(x) = x2/5 + x; f(1) = -6 f(x) = =…

A: We can find the particular solution as below.

Q: Suppose X has the p.d.f. fX(x) = 1/√10πe^(-(x+2)^2)/10      (a) What is E(X) and Var(X)? (b)…

A: Given  fX(x) = 1/√10πe^(-(x+2)^2)/10

Q: of S f(x) dx = -5 and S™ f (x) dx = 13, which of the following is NOT TRUE Given than Ⓒ*₁1 (2) de =…

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Q: 4 1** ƒ(z)dz = 3, and [*9(2) If f(x) dx 5 g(x) dx = 3, then an [*14ƒ(z) + 6g(z)]dz ==

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Q: If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4

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Q: Q2. If the solution of the below first order D.E is y = C ef(xy) (x³ + xy2)y' y3 Find the f(x,y).

A: