Solve De-morgans theorem on following equations:                                          [[A’B’+ B’C’]’+[D+AB’C’]’]’ [(C.D’)E’’)’.(F+G’H’)’]’

Q: у" + 9у %3D 0, у (0) — 2, у'(0) 3D 0

A:

Q: 7. 2xyy' + (x2 – 1)y² = x²e*

A:

Q: sin(7n) A 1. n2 (-7)" C 2. n=1 (-1)" A 3. 4n + 5 (n + 1)(2² – 1)" - 4. 22n Vn 5. (-1)", n+ 5 C n=1

A: 1. the given series is ∑n=1∞sin7nn2 the given series converges absolutely. therefore, the correct…

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

A:

Q: (x)sec²(x) [7sin²(x) +9cos²(x)] + C 63 1 an³(x) - = tan²(x) + C 1 an²(x) + tan³(x) + ( C 7(x)…

A: We will solve integral.

Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0.…

A:

Q: 4 Se + 5x* + 10 cos x + 2)dx 5e" + x° + 10 sin x + 2x + c 5et + x 10 sin x + 2+c - et x° + cos x + 2…

A:

Q: How we obtained (27) from (26) and (24)? Please do the detailed derivation. How we obtained E-Ef and…

A: So we have to deduce the expression (27) from the expressions (24) & (26)

Q: 5. Show that cos x = x has a solution in the interval [0, 1]. Hint: Show that f(x): = X cos x has a…

A:

Q: 3) 12 Glven a = Solve for Vo-

A: Given a=vf-votWe now solve for vo

Q: 7. The equation x² + ax + b = 0, has two real roots a and B. Show that the iteration method (i) Xk-1…

A:

Q: -1 1 x+1 coth - In X = 2 x-1

A: We have to prove coth-1x=12lnx+1x-1

Q: 4. y' +y = -x/y

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: cos(x)-9=16cos(x)-1 ov

A: Here we have to solve the value of x;  8cos2x+4cosx-9=16cosx-1 over the interval [0,2π)

Q: Chapter 6, Section 6.3, Question 014 Use the Fundamental Theorem to evaluate the definite integral…

A: Given,

Q: Evaluate: O 3 0 S''(√ri+ - i + ln(2) j+ 4 1P ( 1 , 2 + (1+1) 1] (-1) ² e 3 0 2 + + m (2) 1 + (1 - 1)…

A:

Q: 1) VERIFY THE POWER REDUCING FORMULA, cos"x : cos 2x+1 HOLDS TRUE FOR 2 x = - AND x =

A: To verify:   cos2x=cos2x+12, for x=π3 and x=π2   NOTE: As per our answering guidelines, we can only…

Q: Question (1)  Prove , ez1/ez2  = ez1-z2

A: The given equation is: ez1ez2=ez1-z2

Q: 9n – 5 a) lim n-- 3-n - 18 1 2n2 + 3n – 5 8n? +1 1 b) lim n- o0 || 4

A:

Q: Show that sin (2n + 1)z 2n +1 { 7/4 */4 0<まく

A: We will use complex analysis to solve the given infinite sum.

Q: 1. Find two positive numbers such that their product is 192 and the sum of the first and thrice the…

A: We have to use the application of derivatives to solve this given problem

Q: Fundamental theorem of the calculus

A:

Q: 1-2x²=1+x+x²³ 2²-2²-1+2+ -2(-1) (2n + 1)! x²+1 sin x- ---- cos x=(-1). - (2n)! −2+4- 6! tan 'x-…

A:

Q: Example 5.8. Solve du 0 0, ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1,t) =…

A: To solve: ∂2u∂x2=∂u∂t, 0&lt;x&lt;1, t&gt;0 And, the boundary conditions are: ux,0+=fx, u0,t=0,…

Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over ]3,4[ 12,31 O 11,21…

A:

Q: .a TC .bO 2π .cO || 2.

A: I will use the definition of gamma function.

Q: Find FSI = ? Fn = 15 -55 2 V5

A:

Q: Show that 100 1 arctan(100) – arctan(2) + E s arctan(100) – arctan(2) + 1+ 1002 1+ k2 k=2 1+ 22

A: To show that: arctan100−arctan2+11002≤∑k=210011+k2≤arctan100−arctan2+122

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: Using OLS or any other suitable method, Prove that E(ß1) = B1

A: Full form of OLS estimator is ordinary least square method. β^1 is the parameter of the model. Under…

Q: 4. Compute the exact value of (-1)"(n+2) xn+1 Ln=0 2n+1 (nt1) 100

A: The geometric series formula is ∑n=0∞rn=11-r, where r&lt;1. Break the numerator of the given…

Q: NONHOMOGENEOUS 2ND ODEs

A: The given question is taken form the ODEs and we have to find the solution for the given equation so…

Q: 7. a) 3[cos (800) + iSin (800)] X  4[cos (700) + iSin (700)] b)   10[cos (3500) + iSin (3500)] /   5…

A:

Q: Express as a product a. cos 5t + cos 6t b. cos x + 2x

A: We have to express as a product  (a)  Cos 5t + Cos 6t We know that  CosC + CosD =…

Q: −x^2+x+6 has root(s) at x=

A: To find the roots of the given equation.

Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…

A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13

Q: र यड -175 - 24 Sus+3)CS-4) Solve. osing Coverup rule

A:

Q: 1- By using simple Iteration method, find one root of the following equation: b- e* * tan x = e-3n/2…

A: The iteration method uses the formula, xn+1=ϕ(xn) to perform the iteration.

Q: 2 tan(4x-1)–3 cos²(4x-1) dy cos(4x-1) 4. If we let u = 4x -1 for the ', what's going to be the…

A:

Q: 14. Substituting appropriate values for x and y into the formula of Theorem 9, show that (a) = 2";…

A:

Q: 2 + (-1)" 3+(-1)" O.1.1.3 1- 33.5 3-5 - 7 ,1-3-5 --- (2n – 1) - +(-1) 3.5.7- (2n + 1 3-5 E(-1)" sin

A: We will answer first 3 questions since we don't answer multiple questions at a time. Please resubmit…

Q: 1. Solve one real root of e - 2x – 5 = 0 with æo = -2 using the Fixed-Point | Iteration Method…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Can i get help step by step with this problem?

A: Given integral is

Q: 1. (x² + y²) – 2xyy' =

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

Q: 5.f(x) = x (x - 1)(*- 2)(* + 1) As x + +o, f(x) = As x - -n, /(x) As x > I co, f(x) – As x > w./(x)…

A: Solution is given below:

Q: lim (1 - cos(3x))sin(7x) of (c) 이이 O 0° O 100 O o. c0 O co - c0 O not indeterminate 8 %

A:

Q: 4.) Ž(1-sin1)* k=0 codh bs nohsrmotru betroupon or to lla bnit: I- 0pibcipojn BwGr p odmgon: 5.) n=2

A:

Q: 1 - T <x< T Ans. 4 cos(x) +cos(2.x) - 4 1 ***+ (xɛ)soɔ- 4) f(x) = 12

A:

Q: 4. Match each graph with its equation. (x – 2)² a. y = - (x-1)² x - 2 2. b. Y = x – 1 1. I – 2 54-3…

A: y=(x-2)2(x-1)2  1st option is correct answer.

Q: sin(2x³) x² 11. Approximate justify your result. within 0.0001 if x = 1/3 using its Mac expansion…

A: Solution: Given function is, f(x)=sin2x3x2 sin(x)=∑n=0∞-1nx2n+12n+1! f(x)=∑n=0∞-1n2x32n+12n+1! x2…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.