lim In(")n %3D 7n00 n+1 Select one: O 2 -2 O-2 O e? 21

Q: Solve the intial value Problem. ds = 2866722-5)', su)-7 dt The Solution is s=?

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Q: ZAY O -In2 Let I = ,e e2* dydx. Then I is equal to O None of these O 1 3

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Q: _11. What is Sdx? A. +C B. +x + C х-1 C. c. ++ 2x + C x(2x2+3x+6) + C x3 D. _12. In solving S th dx,…

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Q: Discuss limit(n →∞)fn on B and C for  fn(x)=x/n; B=E1; C = [a, b] ⊂ E1 fn(x)=(cos x + nx)/n; B=E1

A: Note: Since you have not mention anything about the set E1, We are considering it any sunset of real…

Q: 1. Aşağıda verilen serilerin yakınsaklık ya da ıraksaklığını belirleyiniz (Yöntemleri açıklayınız).…

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Q: a) Which of the following ODE is an initial value problem (IVP) of 2nd-order linear ODE ? OlI, where…

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Q: 5xdx 3. Find the integral (x-1)3 -5 a. 2(x-1)2 +C b. ++C -5 2(x-1)2 X-1 c. In () – in () + c )-In()…

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Q: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…

A: Note: As per guidelines of Bartleby we have to solve one question at a time kindly repost remaining…

Q: 1 1 Compute the integral S Se-dyda (Hint: Change the order) a)2(e-1 - 1) b)2(1 – e-1) e) d) | (1-a –…

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Q: lim (z,y)→(0,0) (3 + (x² + y²) In(x² + y?)) 00 does not exist O 30 1,

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Q: b) S. 1 /2n+1 n=1 In+1 c) S̟ =E: In° +1 n=1

A: 7) a) The given series to test is S∞=∑n=1∞e-nn. We can use the integral test for checking the…

Q: lim In(12x+ 1) csc(4x) A) 0. B) 1. C) е. D) 3. E) 0.

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Q: 1. Aşağıda verilen serilerin yakınsaklık ya da ıraksaklığını belirleyiniz (Yöntemleri açıklayınız).…

A: As you have asked for only question number c, so I am only giving solution of that.

Q: z2 -1 What is residue of f (z) = at z=3 ? -8 Res (f(z),3) = 3 8. Res (f(z), – 3) = None 8 Res…

A: Since f(z) has simple pole at z=3, we use the formula to calculate  residue at simple pole, see next…

Q: 7:31 MAC2311C-FINAL-A PDF - 234 KB 10 Problem 10. The value of the integral nz dx equals: (A) In 2…

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Q: O a. 1-1/e O b.0 O c. 1+1/e O d. Divergent O e. 1

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Q: a) Which of the following ODE is an initial value problem (IVP) of 2nd-order linear ODE ? OlI, where…

A: We want to find which option is showing ODE with initial value problem

Q: dx e2x+1 Evaluate O le2 + 1| + C O In(e2" + 1) + C O In(e2 + 1) + C None of these O2 In(e2 + 1) +C…

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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: 0 0 и(0,t) 3D 0; и(1,t) 3D 0; t>0 и(х,0) 3D 5seппх ди a2u = 2 at 1 E sen3пx; 0 <x<1 - 5

A: Given ∂u∂t=2∂2u∂x2  0&lt;x&lt;1 ;t&gt;0u0,t=0; u1,t=0; t&gt;0ux,0=5secπx-15sec3πx ; 0&lt;x&lt;1

Q: 00 n + 1 is divergent. If we multiply any constant (labeled as h)to the n + 1 such that n + 2 n=1 n…

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Q: dx = In|x| +C^O .BO In|x - 1|+C ® O 5ln|x|+C°O 5In|x-1|+CDO

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Q: Find g' (3) . g(x) : In(1+t) dt O In(10) O 6ln(10) O In(4) O 3

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

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Q: 6. Suppose an 2 0, and a, diverges. Show that C dn diverges. an+1

A: For the solution follow the next step.

Q: (i) xyy' + y² = 2x O separable O exact O linear in x linear in y O homogeneous Bernoulli in x…

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Q: p(x) = (e³x+5 + n)³. q(x) = In(5e* + 6 tan x). u(x) = e*In(x)-x+2.

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Q: 1 √√√x+x Solve the integral: S ® h1+x+c A C Gin|5+x²³| +c (B) : C © Bhl1+xel c C) + C 5 5 D) -n|1+x'…

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Q: III. Elimination of Arbitrary constant. 3. xcos(xy)+ e* In y = c

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Q: 6) In the process of calculating 7s + a In 7s + b L Where a and b are constant, it is obtained that:…

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Q: dx none of the choices In( + 2e) – In(e + 1) + 1 In( + e) - In(e + 1) + 3 In( + e) – In(e + 1) + 1…

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Q: (1) xyy' + y² = 2x O separable exact O linear in x O linear in y O homogeneous Bernoulli in x…

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Q: Calculate the residue of e.e5=0

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Q: 3 Evaluate lim et dt. e-t dt. 20 O a) -2 O b) 2 e O) 2 O d) 2 e e) None of these

A: Giveen query is to find indicated limit.

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: {In(8n+1) – In(4n +5)} 20. b. 0 c. In(2) d. In(5) e. Divergent а. 2 с.

A: ln8n+1-ln4n+5 Now, limn→∞ln8n+1-ln4n+5=limn→∞ln8n+14n+5…

Q: The only particular solution to a second-order linear homogeneous ODE is the zero solution. Select…

A: A second order linear non- homogeneous ODE is of the form y"+a1(x) y'+a2(x) y =b(x), b(x)≠0 Let…

Q: dx x(In x)* Select one: a. (In x)³ 1 O b. 3(In x)³ -1 C. (In x)3

A: Explanation of the solution is given below....

Q: Apply Heaviside's expansion formula to 3s +1 (s− 1)(s²+1)

A: Here we have to find the Laplace inverse of 3s+1(s-1)(s2+1) i.e. L-1[3s+1(s-1)(s2+1)] by applying…

Q: z-e- da=? O a. 1+1/e O b. Divergent O.0 O d.1 O e. 1-1/e е.

A: Given, ∫0∞x-2e-1zdx

Q: Evaluate O |x + 1/² |x - 21³ O 3 ln x²-x2 + C In In In O In x+7 x²-x-2 ·S B +C |x+2/8/3 |x-1|5/3 |x…

A: This question can be solved using the concept of partial fraction.

Q: 28. 3n n+2 А. 1 В. 8. С. eo D. Е. Divergent

A: (28). The sequence is defined by n+2n3n To evaluate : The value to which the sequence converges.

Q: 17. Find the values of p for which the integral 3-2, dx converges. 3-2p Орe(-1,1) Op > 1 Op 1 Ops1

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Q: 5. Prove that |e³ – Eosisn l < 32 3n+1 e3 (n+1)!

A: The given problem is to prove the following summation inequality. We have to use taylor series for…

Q: n +1 5n An bn n + 2' 4n2 – 3' { 400/n -1/(400n2) n even { Į 7 n/(1+n²) 1 901 п оdd Cn dn

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Q: J arctan x dx A C In(x2) + C In(x² + 1) + C x arctanx x arctan X - | 1. x arctan x +- In(x2) + C x…

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Q: Simplification of In x + In(x + 1) = 0 is x² + x – 1 = 0; x > 0 O x² + x +1 = 0; x > 0 O x? + x-e =…

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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: 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

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