31 Let A = B = 0 2 -10 If X'B = A, then X= 0 2

Q: in²3xdc O 3x-sin3xcos 3x +C O 3x+sn3xcos 3x +C Bx-sn3xcos 3x 3x-sn 3rcos3x +C 3x+sn3xcs Bx +C

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Q: Express z = 12 (cos 225° + isin 225°) into its exponential form. ww

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Q: 7.S dt J VE+2- 5

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Q: 16. f(x) = x' + x + 4 on (-1,2). 17. f(x) = x -x² – 30x + 3 on (0, 6). 18. f(x) = 3 sinx on [T/4,…

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Q: a=t). CTaylon Serie) 2-X Ln +x) (MacLurinSeries

A: We need to find the Taylor series of f(x)=12-x at a=1. Taylor series of function fx at a is defined…

Q: 21 Sımplify khe Following 221E36)+5-Ei0 -36+5+10 -36+15 -21, 222. V2*+i|

A: Objective is to simplify.

Q: 2.282 Ex 1.234 - 0.051 al -1.699 0.025 ail vel 2.045 95% -2 -1 t= Ex: 1.234

A: *Answer:  From the given information, the number of observations is 30.

Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

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Q: 10 L- e2s [(s + 3)4 + 13(s + 3)² + 36] sin(2t) e-3+6 u(t – 2) sin(3t) 3 sin(2t-6) 2e-21+6, °u(t – 3)…

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Q: 4. Find az/ax if z is a two variables function in x and y is defined implicitly by x5 + y² cos(x²₂³)…

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Q: 3 sint dt O F(1. 25) + f(1. 75) + f(2. 25) + f(2. 75)] O f(1) + 4f(1. 5)+ 2f(2) + 4f(2. 5) + f(3)]…

A: Solved below

Q: -If u = x2 tan-1 २|४ y = - y² tan-1 x 22u дхду x² что - у² + J²u u ә2u u дхду дудх L ala 2

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Q: 1 Integrate with respect to x. 4+ 25(3x +1)²

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Q: 1 =dx <1 Prove 4 4

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Q: 1 3. JxIn(2x+1)dx 3 а. 8. 1 - In (3) 8. (e)u d. (In(3) - 1) с. - In 4 е. in

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Q: Find L{(1 – t) (3 + 2 sin 5t)} . O 3 3 2s 10s §2 s2 +25 (s² –25)² 3 3 + s3 s(s2–25) 10 10 s2 (s²…

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Q: 2 Z = 31 + (Sin 28 + ((ase Ÿ -(Sin@) Fined Iz1 12

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Q: 6) calculate In (2e°)= 11 2= 0.7n 3= 1. || ln5=1.6n7=20 %3D n(2e°)=X L ex =In 2

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Q: I    P    R    T ----------    2000    2%    ½ yrs. 500    ----------    10%    7 mos. 175    1030…

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: 36 – y8 -dy y5 Integrate:

A: SOLUTION-

Q: 2(1-z) Evaluate S S --) dy dx dz

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 18-If the coefficient of AR(1) is -0.85 with ap-value of 0.000 that means: a. There is positive…

A: Correct answer is (b). There is negative autocorrelation in the model.

Q: Find L{(1 – t) (3 + 2 sin 5t)} . 3 2s 10s - 82+25 (s2 –25)² - 10 20s 을 + - - s2+25 (s² +25)² 3 3 10…

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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: - S e-ttat1-1 dt a # 1 a '0

A: We use the definition of the Gamma Function to solve the given question.

Q: -l<-<-1 10 A -10 В -10 10 10 10 -1 0 D -10 E -1 1 10 -T0 -1 10 F -10 -1 0 1 10 G -10 -1 1 10 O A Ов…

A: The given inequality is: -1&lt;x10≤1  To graph inequalities.

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: 1. Differentiate the following with respect to x: a. y= 5x - + 5Vx + 3p ex + In(x) - 7 (9)

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Q: Find Pr (|w| < 0.2)  where W ~ N (-1,4)

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Q: de xdx 1. (In* 4x-1) 2. V3x +5 sin 4x de de 4. 9+8cos 2x 3. (5x-3)dr 5. 3x-3x+2 (3-4x)dx 6. TAx…

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Q: 1 if dx =3 then K3D203 Select one: O True O False 03789

A: objective to find the integration.

Q: S de x² –2 x+1 A x2 --x - In Ix + 11 + C C x2 +x - In Lx + 11 + C B x² -x + In Lx + 11 + C x2 +x +…

A: Given ∫x2-2x+1dx. The objective is to evaluate the integral.

Q: 43. If |2| > 2, then f - dr r = fcos(5) + k B sin-'(5) + k: cosh-" (5) + k: Itanh-"(4)+k B 2

A: by using hyperbolic Trigonometry substitution

Q: Find L{(t – 1) (2 – 5 sin 3t)} . O 2 5s 30s - 82+9 (s2 -9)² 2 15 15 - - s2 (s² –9) $(s2-9) 15 15 2…

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Q: 1,1Y= 4 in (In (in(sec(x)) then Ý -14 (tan)! In ((In (sec)) In (sex);| O True O False

A: This is the question of the application of differential calculus.

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: 2 16n |xV8 - x³ dx: 9/3 3 11) Show that

A: Properties of Beta Function:  β(m, n)=∫01xm-11-xn-1dxβ(m, n)=Γ(m)Γ(n)Γ(m+n) ;       m&gt;0,  n&gt;0…

Q: 10 L- e2s [ (s + 3)4 + 13(s + 3)² + 36| 2e-2+6u(t – 3) ( sin(2t-6 10 sin(3t-9) 15 sin(2t-4 2e-31+u(1…

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Q: ( 5 sin 3 (t - ), 0, t 4 6. If f(t) = 4

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Q: H 1 L 10 NO 广 -1 L -1.1 -8.2 8.7 11 y = 3. T 1 T 1 11 11 11 1,6 12 I I I 11 11 I 2,5 y = 2.3² T 1…

A: The given functions y=312xy=2.3xy=4.2x

Q: 6. 81n V81 - 81 – x²dx 4 A. Show that B. Use (A) to evaluate In 4 (e2x – e*) /81 – (e* – 1)* dx. - -

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Q: −x^2+x+6 has root(s) at x=

A: To find the roots of the given equation.

Q: 3. Calculate S x²sin(x³ + 1)dx.

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Q: 6. x sec x tan x dx

A: Let's find.

Q: L[u(t – 3) (r²4' – 9 4')] = 64e- -3s (s-In 4)3 9. (s-In 4)2 2 81e-4s (s-In 3)3 16 (s-In 3)² 64e-3s (…

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Q: 13. a) Show that EX=o (-1)*(")=0, and then verify that ) +C) + C) + - - G) +G) + () +- ... = b)…

A: We will use of binomial theorem to solve it

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: 8 21. et dt 7t sin(9x)

A: ∫sin9x8et/7tdt

Q: .4. (c) y = x*; y = sin(Tx/2); about x = -1

A: