Evaluate o -dz where C :|z| = %3D (z-1) (z² – 5z +6) C

Q: Find the general antiderivative of 4 2 + x3 f(x) = x³ + 6/ | + C

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Q: f tan(z)dz C, = {z € C: -|= 5} CL

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Q: a) FVoa = ? PMT - 300 r= e 4%=0.04, Az0.04 12 2 0•00333 %3D 5x 12 z 60

A: According to the given information, it is required to rewrite the answer. For part(a)

Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: 2. . Evaluate || 3y dS where S is the portion of y + x2 = 4 between x = 3 and x = 3 – z.

A: Given To evaluate ∫∫S3y.dS where S is the portion of y2+x2=4 between x=3 and x=3-z.

Q: Q2/ A/ Find the and ar * iff (x.y) = x - xy, x=r² +s and y =r-s as

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Q: Q2: EVALUATE * SJs(x) dx a.

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Q: Find the value of c such that E enc = 8. %3D n = 0 C = 8.

A: We have to find the value of c.

Q: 3. Sy? e2y dy

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Q: 11. (D* – 16D²)y = 0 a. y = C, + C2x + Cze¬4* + C,e¬» b.y = C, + C2x + Cze** + C4@4* c.y = C,x +…

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Q: Sll, dxdydz , where T: 0 < x < 1, 0 < y< v1 – x², Vx² + y² < z< /2 – x² – y²

A: we have to triple integrate using the given limits

Q: xy' + y = Vx %3D

A: Introduction: A first-order linear equation is of the shape y'+p(x)y=q(x). The integration issue of…

Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

Q: Find EF in the trapezoid. A 4 D E 2x+6 5x+4 EF = %3D

A: Find EF in the trapezoid.

Q: 4yy" + 2y' = 0 = y' =? A) y'= -In B) y' = In c) y' = 2n(cy) D) y' =-In E) = 4 1n

A: Given that 4yy"+2y'=0

Q: Determine the antidifferentiation of (3xc + ed - (4/x)) dx  (where c; d are real numbers and c does…

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Q: * Evaluate SSS 12z dV E where E is enclosed z = x² + y? and z = 1 %3D Зл о 2л о 4л о IT O

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Q: The mgf. of a r.v. X is (}+3) (+e) . Show that 9-x Ρ(μ- 2σ<X<με 20 - Σ (!) ( (3) P (μ- 2σ< <μ+…

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Q: dx O a 2 In + C O b + 32+321 + C O d + 32+ 32 In(x+V16x2 + 32]] + C

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Q: Let X ~ NB(r, p). Show that E(X*) =-E(Y – 1)*-1 where Y ~ NB(r+1, p). а. b. Use this result to find…

A: It is given that:

Q: dz, C:z| = n. %3D 2++13z2+36

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Q: d²y Compute dz? at the point (1, 2) given a² – y² = -3. a) 3 b) 4 9 d) 8 e) O

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Q: O Evaluate, (a) / 3y* In (y) dy

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Q: the va q² +y? +æy ) at x = 1 and y = 3 is %3D

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Q: af If 2xy(-x² + y) + xe", what is ду ду? Select one: а. 4ху — 2x3 + хеУ ду? 2x(-x² + 1) + xe" b. ду?…

A: Given ∂f∂y=2xy−x2+y+xey

Q: 2. Evaluate the following c2 (i) S, 3x2 – 4x + 3 dx 1 •2 (ii) 1 dx Jo V4x+1 •In4 (iii) * e-2x+1 dx…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Calculate ∂ω/∂z for ω=e-2xe (z^2y)

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Q: dy Find dif: y = (x - a)√2ax x2 +aarcsin a none of these O a. Ob. a²2 √2ax x² - O C. 2√2ax x² O d. O…

A: Solution of given question is written in below steps.

Q: For a bivariate analysis involving the two variables X and Y, if E(* – a)(y - 9) = -76, n = 33, S =…

A: It is given that, ∑x-x¯y-y¯ = -76, n = 33 Sx =1.54, Sy =2.40,

Q: To find ∫x3(x4−15)7dx∫x3(x4−15)7dx, you would need to use u-substitution. What u could be used to…

A: ∫x3(x4-15)7dx

Q: 3. D'y - D'y- Dy + y = 0 (AD4

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Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

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Q: Find the domain of y = vx+6. %3D 12. O x 2 6 O x > 6 1/6

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Q: The chain rule of antiderivative is stated as: ff (g' (x)) g(x) dx = F (g(x)) + C True O False

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Q: 2 da x² – 8x + 17 Integrate: + C

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Q: f (x) dx=6, ƒ (x) dx=2, and ƒ (x) dx=- 3, fir If A 4 B

A: We are asked to find the value of given.

Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

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Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: [E (XY)P SE (X²) E (Y²)

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Q: fx(xx) = (4-x²), - 2<x2 fy (4) %3D 32 %3D Eind Jhe þdfs of W = X+Y 8 Z= X-Y. [0-h) r2- (1+le) r2 ] =…

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Q: Find EF in the trapezoid. A 5 E F 3x+5 7x+2 EF=

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Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

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Q: 3 -dp 72 + x2 Integrate: + C

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Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

Q: wx + yz = bc, for z II

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Q: Öz dz 2. What is the sum of x +y ay ду given that z² = x² + y?.

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Q: fud the general Schiklen for the P+q =X+Y+Z

A: p=dzdx and  q=dzdy Let f(x,y,z,p,q)=0We can relate this equation to F(x,y,z,p,q)Then we have the…

Q: The evaluation of 3y3 e*y dxdy is е - 1 е -2 None of them O

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