14. f (æ) = (x – 4) (x + 2)², [-2,4]

Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: 12. f(x, y) = x' – 2x – y + 4y, P = (1, 2). -

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Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: 3+2s 17. F(s) %3D (s+4)(s²–3)

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: S( 7x3 – 5 vx +. 18 V +x-40 ) dx x3 10 2x³/2 + 12x³/2 - -394 C с 7 10 x³/2 + 12x¬³/2.1 x-39, C 39 39…

A: Given∫7x3-5x+18xx3+x-40dx=∫7x3dx-∫5xdx+∫18xx3dx+∫x-40dx∫7x3-5x+18xx3+x-40dx=7∫x3dx-5∫xdx+18∫x-52dx+∫…

Q: determine L−1[F].

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Q: Max z = x1 + x2 s.t. 2x1 + x2 ≤ 20 x1 +3x2 ≤ 15 x2 ≤ 4 x1, x2 ≥ 0

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Q: Bind/x(n) X(n) if XCZ) Z² (Z-1) (Z-0.5)' Z² N

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Q: Evaluate S S"(2y² + x)dædy

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Q: In z dz z4 e

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Q: 2 3 Compute fyz, if fx, y,2) = x² -x³y² -z'. %3D xyz» OA7 B. 5 OC.0 D. No one correct. O E. 6

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Q: 5. Suppose that f (x) dx = = 5, f (x) dx = -3, g(x) dx = -1, and g(x) dx = 2. Compute | (2f(2) –…

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Q: 4- compute dw dw дх' ду at the point (-2,3) if w = (2x + 3y - 1) ²

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Q: z = 7+x+4y+x² , –2 < x < 1,–1< y < 1. | 1. A = 3V5 - ( 35 + 6/26 - In 4 %3D 17 17 35 + 6/26 2. A =…

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Q: X, t Xx t 2 Xz531 2X, + X> t Xz Z22 Naximzed By: 233y,tax2tdxg

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Q: max z = 3x, + 2x2 1 1 X1 + 40 X2 < 1 60 s.t. 1 X1 + 50 1 X2 < 1 50 X1, X2 20

A: dual of the given lppmin z=y1+y2s.t.     140y1+150y2≥3      160y1+150y2≥2          y1,y2≥0

Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

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Q: x2-2 x+1 x2 --x-In Ix+11 + C C. + x- In Ix+ 11+C x2 -x + In Ix + 11 + C 2 +x + In Ix+ 11 + C O B

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Q: 3- Suppose that s(x)dx 5. Find A- B- S V3 f(2)dz D-

A: Definite Integral of function f(x) in the interval of [1, 2] is 5. The function remains the same for…

Q: (1) If f(x) = { 3 x2 ; -1<x<2, then 0 ; otherwise compute [ xf (x) ]dx and [x²f(x)]dx

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Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: 1 Find xIn(x15) dr. xln(x!5) 1 а. xIn(x!5) 1 -In] In(x!5) |+ C 15 1 dx = In] x'5 |+ C b. xln(x!5) 1…

A: Use the substitution method and integrate the given expression.

Q: Let fé)--을(t)6. Eveluate f(-8) %3D f68)= ? %31

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Q: By= In(Cx-2)

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Q: 16) fueluete Sx Jx+3dx 4) 리/5(x+3)기2 -2(x+3)12+c 6) /5(x+3}51z . "/s (X+3)"z + C XJX+3 dx S/2 312 6)…

A: The given integral is ∫xx+3dx.

Q: find the (a) domain and (b) range

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Q: 2. Ex Fnd そ if Z=マ+S+v ノ イ=メS マニメe *S=yさ

A: Given function is, z=r3+s+v2 Where, r=xeys=yexv=x2y

Q: 2. f(x,y) = x5 In(y)

A: Given function is fx,y=x5lny. To find the first and second order partial derivative of the given…

Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

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Q: If y=2x²-4, what is its inverse? or Oy¹--√2 Dy^--, DOIN such that xs-4 such that x2-4 such that x20…

A: Given, y=2x2-4 To find the inverse, we need to swap the variables 'x' &amp; 'y' x=2y2-4 Now solve…

Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: Suppose X~N(148,8), and Z~N(0,1). Then x = 143, is equivalent to z = ______. (Round your answer to 2…

A: Given information  X ~N(148,8) Population Mean (µ) = 148 Standard Deviation(σ) = 8 X= 143

Q: 3 Fivd fy fz fxz if

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Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: 8) F(s)=³-ks² 2 Ans. f(1) =2(e"-1)-! k

A: Solve the following

Q: 9. If f(x) = ], ( 22 - 5t-3 ]dt, on what interval(s) 0, is f increasing, decreasing

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Q: (-x+2, if – 1 sx<2 V3x – 6, if 2 < x< 5 -2x, if x <- 2 lx² – 1 , if x <- 2 1. f(x) = 2. f(x) = 3.…

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Q: 73.xy-z(x- y)' (19)

A: 73 Given expression is xy−zx−y2. We have to find the value of the given expression x=3, y=-2 and…

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: Ivy is not sure whether a particular c the coin is not fair if she observes 4 4.24 and alternative…

A: Ans:

Q: In Exercises 7–10, determine from its graph if the function is one-to-one.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: max z = x1 + x2 X1 + x2 < 4 X - x2 2 5 s.t. X1, X2 2 ()

A: We will solve this question from the graphical method . We will see that if the two inequality has…

Q: inh´x + cosh²x = 1 = x²arccsch(x²) then f

A: 1. The function fx=y=coshx is represented as , coshx=ex+e-x2 To check whether the function is odd…

Q: 2 Find / U(x) + 4g(x)]dx if -5 2 2 | f(x)dx = 6 and / g(x)dx = -3. -5 -5 2 [f(x) + 4g(x)]dx = i %3|…

A: Given∫-52f(x)dx=6∫-52g(x)dx=-3

Q: Suppose X~N(159,19), and Z~N(0,1). Then x = 126, is equivalent to z = ______. (Round your answer to…

A: We have to find z score for given data...

Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.