9- m2 Evaluate S, – m² V9- m2 - n2 8ax (n2 + x2) dx dn dm E A B I E E P Type here to search II

Q: 4. Find g[h(x)] if g(x) = x² and h(x) = x + 3. %3D O A. x2-- 3 B. x + 6x +9 O C. x + 3x? O D. z + a…

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Q: mples:- et X~ fa)= 1 each of them kaving. the funchson f=1. ,o<x< 1; and let tioke be two inbep. -+…

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Q: Lec 7.1. Evaluate SJ*FI'dx and ard nuerber x +i dx -4.48535

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Q: 18) Use the Trapezoid Rule, with n= 4, to approximate 1 dx (x-1)2 A) 0.5090 B) 0.5004 C) 2.5000 D)…

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Q: 46x Evaluate dx 2 Use rationalizing substitution. (A) none of the choices Be (ex - 2)1/² - √8 Arctan…

A: Let's find integration of given function.

Q: 1/(2a) xarctan(ax)dx, where a >0. Evaluate Select one: Σ (- 1)" а. a' n=0 8" (n+ 1)(n+2) 1 (-1)" b.…

A: Note the expansion of arctan x :                                      arctan x=∑n=0∞ -1nx2n+12n+1…

Q: 6x Evaluate / dx using algebraic substitution. (5-x) 2 ® - 10 (A) +C (5-x)3 5-x 10 (B) 2 +C (5-x)…

A: topic - indefinite integral

Q: S(2) dx = 6, / f(2) dx = 3, f (x) dx = 3, f(x) dr = 7 Let -10 -10 -6 | f(x) dx Find J-8 8- and .…

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Q: ker(A) = R104 %3D O ker(A) = {0} %3D ker(A) cannot be determined from this information

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Q: et ● t'(x) = 805x4 (x),1 O %3D O t'(x) = 80(e)-(e*)(5x4) (x),1 e2r e2x ((*(-(,r5)(,2) 08 = (x),1 C…

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Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

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Q: 5. (i) Show that +C, 1+u (a) du = 2 In u(1+ u) 1 dx du , using the substitution u = x. (b) J x(1+…

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Q: Q# What substitution should be used to compute V36–x² dx ? А. x= 6sin 0 В. x= 6tan 0 С. x= 6sec 0 D.…

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Q: 9. Ste" dt = t(__) - S(–)dt 3 πt Fill in the blanks above with the best choice below. а. Злезл 1 3rt…

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Q: Residue of f (z) =, at z=0 equals e-2 %3D 23 O a. 3. O b. -1 8 O c. 1 O d. -1

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Q: Evaluate the integral. S. 3n/4 -8 csc 2 x dx T/4 Select one: A. 16 В. 8 C. 0 D. -16

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Q: II. Let U = R, 1 = { x eR | x5 – 26x3 + 25x = 0 }, J = { x € R | |4x + 2| > 10 } and K = { x €R | x?…

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Q: 15x²x³43x - 19 7. The integral (x + 1)²(x² − 6x +13) can be rewritten as C D Sax ² Ax + B +…

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Q: the bartial derNgtives れけh 1. the 1n dependent variables varigbles to =4えモ + st lost 14- Vス2ナリ2 y.…

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Q: de Evaluate: A f (2) = -3 ln (|Va – 1|) +C ®f(x) = 3 ln (| V – 1|) + C B © f (2) = 3 In (|1 – V7) +C…

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Q: Let y1 = sint and y2 = 2t sint then Wronskian of y1 and y2 is a) W =2 b) W=2sin?t c) W=0 d) None of…

A: y1 = sinty1' = costy2 = 2t sinty2' = 2sint + 2t.costWy1y2 = y1y2y1'y2'

Q: 1 Let y = x2 g(x) + 6x -1 Find at x = 2 given that g(2) = - 3 and g '(2) = - 2. dy dx Enter an…

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Q: Consider the ODES below where x is the dependent variable which is a function of the independer…

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Q: dx for 3xe dt 9-In 729 +6ln x, with the conditions 3 12, х%3D3, у-0. dt Assume x and y are functions…

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Q: dx Evaluate ·S= using rationalizing substitution. x1/2 + x2/3 (A) none of the choices B 6 In (x1/6)…

A: The integration of the integral is  1/(x1/2+x1/3).

Q: 4. Let fcx) bc a cor [o, 0) 6iven th f'(x)LO far x> the following is greater than B aj Să f(t) dE b)…

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Q: 10) Let A E Mnxn be given by 0 0 ao ... -1 .. A = -1 0 a2 .. 0 0 0 • -1 an-1 .. Compute XA(t).

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Q: sell f G) unit ofitems af tersperding x houscin d on 9dverfising as given by fon) 5 n3 - 3 n2 +…

A: Given function is  f(x)=53x3-32x2+(5+32)xf(x)=53x3-32x2+14x To find out inflection points we need to…

Q: Define Fo = 0, F, = 1 and Fk = Fk-1 + Fr-2 for k > 1. Show that (a) Fn-1Fn+1 = F +(-1)" (b) E-o Ft =…

A: Introduction: The Fibonacci sequence is an important sequence in mathematics. If we add the two…

Q: Which of the following can be determined O [ars) A (4f(x) + 9h(x) dx B [²³(f(x) + g(x) (f(x) + g(x)…

A: We have to find out

Q: dx secx + 1 Transforming S Ⓒ 1 +²2² A 1-z² (В) / z²+z 1-z² 2-2z² © 1+z² -z² Ⓒ S 1=32/2/dz D 1+z² -dz…

A: Solve using miscellaneous substitution

Q: 1 if Pn (x) dx32 . then n= -1 0.a o none of theseco -1do

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Q: Q14:: Let y'= 2x - y y(0) = 1, h = 0.1, the value u4 by Picard method is (A) 1/² 1+³7²+x³+…

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Q: H-Wid Solue the Rollowing PDES @ (Dž -2 Dx Dy Ju =x°y + e* Ans u=$1cy) +$2(9+2x)+ でくx 20 60

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Q: Q5) Evaluate the integral 0.61-10 (6.73x + 4.3025 107 dx 2.316 10-11 1.22-10 Using trapezoidal and…

A: The integration can be calculated using the numerical method. The formula for the trapezoidal rule…

Q: 00 e-Xx"dx= %3D T(n – 1) aO not exist bO r(n) 2. [ (n+1) dO

A: We use the definition of Gamma function for this problem.

Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

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Q: dy -x²()+5y= e3X +cos 2x is The ODE: X dx 3 dx Linear of order 4 Non-linear of order 3 Non-linear of…

A: If a differential equation when expressed in the form of a polynomial involves the derivatives and…

Q: Which of the following is not true? 5 dx с dx Ⓒ√² S 25-x² (Α o = lim C-5- o 25-x² 3 dx 3 dx (В lim…

A: We have to determine integral

Q: x* dx 4. Evaluate with Simpson's 1/3 rule using two, four, and six panels.

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Q: 12r+ 30 -dx- x²+2x-8 Let In M = %3D What is the value of M? O (x+4)3 +C (x-2)9 O (x-4)²(x+2)° O…

A: Given lnM=∫12x+30x2+2x-8dx

Q: ← Z 3 Z (ancosno) z (ansinno) = z (z-a cose) Z-2axwoso ta azsing Z² 2ax cose + a²

A: Introduction: Z-transformed is significant transformation in mathematics. In many fields, it has…

Q: f(M1) = 0.6 and f(M2) = 0.4. We found %3D out that 25% of the M1M1 individuals survive, 50% of the…

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Q: 27 T -24 en: L | x³sin(2 x)dx= Find b if sbs 64 5T 6. 3T 4 4

A: Answer is option D.

Q: Each of the ODEs shown below is second order in y, with y₁ as a solution. Reduce the ODE from being…

A: We are given second order differential equation using the method of reduction of order we need to…

Q: d'y It is given that y=(1+x)² In (1 + x). Find dx 3 Prove by mathematical induction that, for every…

A: First it is required to find

Q: Ex . If x is adisc. r.v, Such that :- Ex) :2 Vor Lx)= 5. find: O EL-2x -1) e var (-2x- ) O E(x)

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Q: Suppose fg()dt tIne+ C and 0 < a < b; find ["g(1)dt. %3D Show steps and simplify your answer to the…

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Q: dy When solving the Bernoulli DE: x - = , which of the choices is utilized for (1+x²)y substitution…

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