Vã (1 2 In I 1 - x1/2 | + C A In I 1-x/2 | + C -2 In I 1-x/2 | + C B D - In 1 1 -x/2 |+ C O A Ов O D O E None of the Above

Q: a^n = 1/(1-a) %3D n=o a where a is less 1, n=0

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Q: 3) Prove that ae*+be-x a) b b > 0 ex+e~x

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Q: The double integral √ √ ₁ (3. R (3x² + 2y), where R = [1, 2] × [-1, 2] is equal to Select one: O 18…

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Q: (2) |R| = |2N].

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Q: In2 + 5n + 4 lim an = 1 %3D %3D 3n2 + 8n + 8 n-00 1n? In2 5n + 4

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Q: n Rị |1-Ri Lecen (A) = II [A exp(-AZ,)]“ [exp(-ar)] z.)][exp(-Ar)]" i=1

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Q: solve xy' - y = xkyn, 1) y¹ – O a. (k+n O b. (k+n O c. (k+n O d. (k+n - - n 1) x¹ - n - 1) x¹ − n 1)…

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Q: Perform the operations (R3 - R2) on R3 and (R4 – 5R2) on R4. 10 0 -글 : 1 2 0 1 0 10 2 0 0 1 2 297…

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Q: 3. Sum of coefficients of terms which contains integral powers of x in the expansion (2+ /x )30 is-…

A: We have to find sum of coefficient of terms which contains integral power of x:

Q: (a) Show that: (i) dim R" = n (ii) dim R2×2 (iii) dim Pn = n+1 = 4

A: Basis of a vector space: Let us consider a set S⊂V(F) is said to be basis of vector space V over…

Q: 0.02x10.05x2 = -0.19 0.03x₁ +0.04x2 = 0.52 ○ X₁ = 5, X2 = 8. O x₁ = 7, 2₂ = 8 O x₁ = 8, 2 = 7 O x1 =…

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Q: 72 + 25 9z2 Evaluate VI² + 25 +C a. z + In|Vx? + 25[ O b. None of the choices. ImV + 25 + 피 + V² +…

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Q: n Find the general solution of o ( :) (2)*y(n-i) =0. ata of any nonzero real

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Q: [2 7 10 ] cc 1 -2 -1 3 d. Fi 10. -6 3 -6 -2 lir | е. If is 2 1 -7 5 -6 (12. 1 -2 -4 -1 7 -4 in 7 -…

A: Actually we can use here four variable with three equation and use row operations to get the answer

Q: Simpson's 3/8 rule gives exact results for O f(z) = 5+0.25z² O f(z) = 5+0.25z® O f(r) = 5+0.25xª O…

A: Simpson's 38 rule is exact if f is a polynomial up to cubic degree.

Q: Vx (1- 2 In 1 1-x/2 | + C A ! In 1 1-x/2 | + C 2. -2 In I 1-x/2 | + C -In 1 1 -x+/2 | + C O A O D E…

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Q: n-1 For all n > 2, 4+ 3n4" – 4n+1 - j=1 9.

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Q: let y = 3 x2 + In x - ex find y' O 6x + (1/x) + ex O 6x-(1/x) - eX O 6x +1 + ex O none of the above

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Q: (Зп+5 Find infimum of A |n E N} n+9

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Q: The total number of additions and multiplications in t= 0 for i := 1 to n for j := 1 to n t = (it +…

A: Given information is:

Q: 4. If K = { x € N| |x- 3| 0}. Then, TC R. 6. Let V = { x € Z| x* – 9x² + 20 = 0 }. Then, IP (V)| =…

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Q: 2. Show that n n var ΣΧ) ΣΣον(Χ, X ). \i=1 i=1 j=1 Compare this formula with var(X+Y) = var X+var Y…

A: The equation is Var∑i=1nXi=∑i=1n∑j=1ncovXi, Xj.

Q: How many real-valued solutions over (-1,1) are there to the following ODE? y = x /1- y + y…

A: Given - Given ODE : y' = x1 - y' + ylnlny' + eπxy To find - How many real-valued solutions over (-1,…

Q: X1 X2 X3 S1 S2 8. 1 1 9. 1 8 -2 2 5. 1 20 X1 =, x2 =, x3 =, s, =, s2 =], z = ] %3D %3D %3D %3D…

A: Given : Simplex table x1 x2 x3 s1 s2 z   8 0 3 1 1 0 6 9 1 8 3 0 0 4 -2 0 2 5 0 1 20 To…

Q: E-o(-1)"(n+ 1) x“ = (1+x)² 1 2.b) for |x| < 1 %3D n=0

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Q: 2л 4sin 0 d0=--- O a. 1 O b. -4 O c. 0 O d. 4

A: We have to find integral.

Q: (ii) If $x_{i}$ follows Bernoulli $(p)$, show that $$ \frac{1}{n}…

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Q: 5/2 5 ds Evaluate the integral V100 -s2 5/2 5 ds %3D V100 - s2 (Type an exact answer, using n as…

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Q: əz ax+by+sin(ax +by) show that b əx Q5-A) If z = (ax +by)² +e+by+sin( ax a Əz dy

A: The given problem is to show the following condition for the given multivariate function of z.

Q: cos(n") In(4) 1. 1 2. n In(n) n%3D 6n + 3 (-1)" n=1 1 4. n - 5 3.

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Q: 1. true or false. justify your answer. (a) |x+iy| ≤ |x| + |y| (b) arg(-2+10i) = π – tan−¹(5) + 2nπ…

A: Given statements,  (a) |x+iy|≤|x|+|y|  (b) arg(-2+10i)=π-tan-1(5)+2nπ for n an integer. The…

Q: dn-1 for allneZ with n2 2. Prove that for al Let di = 2, and dn ne N, d, =. %3D %3D %3D

A: Since you asked to solve for multiple questions. But according to guidelines we will solve the first…

Q: -1 7 24 41-69 - [ ³ 4] = -2 9 B 07 02 00.0 ↓ 1 e dimension of the result. (If not possible, enter…

A: Topic:- matrix algebra

Q: 4. Halla una serie de potencias en la forma y(x) = E=0 anx" que es una solución de la ecuación…

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Q: 2. Show that coo(N) co(N) § c(N) Ę e^(N).

A: To prove that c00N⊂c0N⊂cN⊂l∞N. By definition, c00=x∈lp|all but finitely many xj's are zeroc=x∈l∞|xj…

Q: ( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

A: Given that c, x1, x2, ..., xn, y1, y2, ..., yn are 2n+1 given numbers.

Q: 2. Assume that x > -1. Prove that (1+ x)" >1+ nx for n = 0, 1, 2, .... %3D

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Q: =Xtanx dk, Prove that ="IH (n+1)I,+(n-1) -1 T 1 2 n

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Q: 1+ In x If y = 1- In x The value of y' = 10.62 at x = 2 %3D

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Q: entiation to find the derivativ 1 O A. In 5t +1 5T +1 (In 5t) OB. VE +1 Xc 5t In 5t + 1 2. 5tVi 1 In…

A: Answer: dydt=5ttt 12ln(t)+1

Q: x²y' + 2xy = In(x), y(1) = 2 y = In(x) 1 2 + 1. 3 + - y = -In(x) O Option 1 Option 2 1 1 1 1 1 2 y =…

A: We are given first order non homogeneous linear differential equation which we will solve by first…

Q: Let b₁ 2 = sin−¹ (²) and c, = sin-¹ („²7) for all n € N such that n ≥ 2 +00 Σ(1+bn) n=2 Σ(bn-Cn) n=2…

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Q: 5 + 2 sin(n?) n=1 n2 (b) Σ Vn5 + 100n² +1 n=1 In n (c) E(-1)*+1; n4 n=1

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Q: Graph the functions

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Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: If  y = tan-1( k x) + tanh-1( k x)  and  (1 - 256 x4 ) = A Then A +k =..........

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Q: 2. (i) x²-12√/2 = 17 and (ii) y + y = 18√/3 1 a. Ifx-√√5=2 then find the value of x-- X b. From (1)…

A: A detailed solution is given below.

Q: (k-k) = O a. n O b. 6n +(n + 1)(2n +1) OC. 00 O d. (n + 1) O e. 4(n + 2) (n² - 1)

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Q: 1 du u-1 %3D Vx(x-1) What substitution did we make? Select one: O u=/x(/x-1) O None O u=Vx O u=x-/x…

A: We can solve method of substitution to solve the given problem.