اذا كان )) In =2 متسلسلة فان متتابعة المجاميع الجزئية )) S = #=1 ln هي M M b)ln (M) c)ln M e)ln(M – 1) d)ln(M + 1) M+ 1, М -1 a

Q: x3 dx (x – 1)5 y = Select one:

A: First evaluate the integral by substitute method. Then apply the limits of integral.

Q: In (*-") l+V1-x2

A:

Q: Use Exact, Then solve (1 = In(x) +)) = (1 – In(x))y`

A:

Q: Using an appropriate substitution, i) Evaluate [x (1- x)³ dr.

A: The solution for the above question is as shown below.

Q: Solve the ODE of variable coefficients first changing this to constant coefficients x²y" – 4xy' + 6y…

A:

Q: Q3)Use (Newton Raphson Method) to fmd the root of fcx) = x²_x* +2x -1 =0 on Lo,1], Where E =0

A: Formula: The iteration formula to find the root of a function by Newton-Raphson method is given…

Q: day dx5 + day dx4 - 6 d³ y = 0 dx³

A:

Q: HW: Solve (1) * s2 ans/ [-1, =) (2/3, ) (13/3, ) (-, 4/30] (5) [4, )

A: According to the guidelines of bartleby i have done only first three questions please ask rest of…

Q: Find the FT of the Rectangular of width T and compare Pulse with the FT of rect (t)= g(t) = Areet…

A: Definition:

Q: The velocity of an object is given by v= (t+1)% The position, s, at any time, t, if s = 1 V = when t…

A: Given query is to find the position function s.

Q: e"+e (1) V 23 + 1 dx by speculation . x=e"+e-T (2) Use (1), if necessary, to evaluate L +1 (-) de V…

A:

Q: lim sec(2x) ((x tan ثم أختر الاجابة الصحيحة؟ أحسب الغاية التالية

A: We will find the limit directly using the limit theorems.

Q: slove 8a'b 41. (а) (b) 2a b 5xy 42. (а) 2a b)-3 (b) a'b

A: 41. (a) We have to solve 8a3b-42a-5b5 Exponent law states that: (i) am×an=am+n (ii) aman=am-n…

Q: If f(Z) = cos (3z2) then the simplify form of f(2) is: A) f(z) = i log(3z² + iv9z+ – 1 B) f(Z) = -i…

A:

Q: dx 2x

A:

Q: а.) Solve x' = -5] x+ -2 [sec t] x(0) 1 b.) Solve x' = x + x(0) 1 -2 U5

A:

Q: (x-1)e* dx x2

A: As we know that from integration by parts: I=∫udv=uv-∫vdu

Q: Solve J²u = Ət² u (0, t) = u (x, 0) = J²u 4- 2 მ2 u (π, t) = 0 sin (2x), 0 0 (x, 0) = 0 Ju Ət

A:

Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

A:

Q: Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases…

A:

Q: So, L' (e^ F (4)) = f (t-a) ua (t) Now 2 [(5m) in en -e. it los (i) L uk [sint} 2k --(4-k)s - ille…

A:

Q: Q2) 1) If f(x) = x²(), find /' (2) 2) If (2x + k)dx = 0, find k

A: Integration is defined as finding the value of the given integral. Integration is of two types . The…

Q: 1 f (x) = f '(0) =? find 3 Vx2 + 8

A:

Q: O sec [tan'( 5)] = ? O Tan [Sım'()]- ? 2)

A: To evaluate the expression

Q: 3 Without integrating, the value of S"SLesino d pdqd0 is (а) 36л. (b) 1087. (c) 187. ! Without…

A:

Q: Find u, v, and ||u + v||. 4, (a) ||ul| (b) |v|| (c) u + v 'T) = A

A:

Q: Uto ulo,t) ищ, о иоса, с ut

A:

Q: 2.f(2)こ4-22 a Net change b) average räte d Change- 2ニ-2,2-8

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

Q: Given that f(z)= 3z2+ z-4 find: i) f(2-3i) ii) The real and imaginary parts of f(z) ii) f''(z)

A:

Q: Salve 6y"o)-5y'Lx)+Yx)= esinx+ cos2X with

A:

Q: (10iZ45°)(2¡Z25°)(e')

A:

Q: 3a-6 Differentiate y= csc =CSC 5z2+9 A g' = cot() cse () ( ) B. y' = - cot() csc() ( ) 3x-6 522+9…

A: Given: y=csc3x-65x2+9 As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.