Re (1+ iz)| = 3

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

A:

Q: 4. dr/dt = -2tr, r(0) = ro %3D

A:

Q: .3 2- S(y² – 4y + 2 ) dy

A:

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

A:

Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: d²r 107. dr? 2. dt 1=1 = 1, r(1) = 1

A: In this question we need to solve the given differential equations.

Q: 24. (х + а)у' %3D bx — пу; а, b, п are constants with n # 0, n # —1. ANS. n(n + 1)у — b(пх — а) +…

A: Given:- (x+a) y'=bx-ny;  a, b, n are constants  To find:-  General solution of given differential…

Q: 1 хах 'o V1-x4 V3 xdx

A:

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

Q: 4. Is y = 5e-+7x e-2 a solution to the ODE y"+4y'+ 4y = 0 ?

A: The given solution is  y = 5e-x +7x.e-2x To verify it we will differentiate it

Q: y = In(x + 2) at [-1,2]

A: The given problem is to find the interpolating polynomial for the given function within interval…

Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: f(1) = 3e " cosh (In 2r) -21

A:

Q: O Xツ=) X-フ=C X-ツ=-) の 3x+7ソ-32=2 2x +.5y +7= -4 2x +6y tlo2 - }

A: According to our guidelines, we can only answer 3 subparts, the rest you can repost. The given…

Q: adra a. EX XXX + 3) c. 2(X + 3) -2 0. -3

A:

Q: 9-x2 18-22-y2 (x2 + y² + z²) dz dy da? 3 0. x²+y2

A:

Q: The general solution for the ODE -2y+y

A: The correct answer is option c  and the solution follows as

Q: e 12t dt 31. 4et -1

A:

Q: de (x+2) h+2+ +C (r+2) x + 2- Option 1 Option 2 In Ix + 21 + 4r+5 + C in x + 2 (e+2) O Option 3…

A:

Q: %3D 2n a O V2 .b O .cO

A: Option (d) is correct.

Q: 2- X-J =(M(404) 3x उ्रुफट (X) %3D gu) =x°-8e

A:

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

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Q: 3. Derive the reductive formula for S sec" (x) dx.

A: We will find out the required solution.

Q: .3 S(3 – e3*)²dx

A:

Q: 130. у — In (r² + 1) dt

A: We have to find the integration

Q: 2n bị 2n 2n paz x a, , b2 = a, xa x a, , bz = a, x -аз ха,,

A:

Q: O y'+ (oy -asin 8t y W): -1 2

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Q: SIL- W : x² + y} < 9, 0<z<6

A:

Q: What is the general solution of the following ODE / - = 3r"

A:

Q: 3t when LI 1 ニe then L %3D S- 3 S-3

A: If Laplace transform of the function f(t) is denoted by Lf(t) or F(s), then the Laplace inverse of…

Q: Solve X -1 , メ<。 FCX J= =[ メーo x 7o Can be dis played as i FCX J=[ X_! when x <o,l When X-o,} \ wh…

A:

Q: solve for t

A: Given: etln0.2=0.4 we know that nlnm=lnmn                                             ..1 so, by…

Q: 1. Determine the exact value of sec- л 4 1 √√3 B. √2 ~ C. √2 1⁄23

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

Q: 4 %3D X2+2x-15 is X-3 S+X

A:

Q: Solve for x1, x2, x3, x4, x5, x6 0 3 8 -5 -1 6 x, 34 3 12 -4 8 5 -2 x2 80 0 10-3 7X3 45 36 4 X4 0 0…

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Q: 2 + z-. = 0 is

A:

Q: Solve cotx+ 3-0 on the interval x e [0,21]. O a) 6. 11x X3D O b) x-x-5 X = Od4- c) X = 11T 元 d x=…

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Q: 1 y = [cosh(2x)] co* ot-1

A:

Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: 48xyz < (3x + 2y)(y+ z)(3x + 2z) for every x, y, z E [0, +∞[.

A:

Q: 2x Evaluate / 2r+3 dx 3log(2x+3) + C X - -2 O x – 3log(2x + 3) + C O None 3log(2x+3) х — + C 2

A:

Q: b. y = e-2x @x, = In 2

A: Solution

Q: bah ow )o (d) be . Solve for 0<x <1, u"- u =-f(x) u' (0) = u' (1) = 0.

A: As f(x) is an arbitrary function, we will use Green's function to find the general solution.

Q: af 8. Find and ax of f(x, y) = e-* sin (x + y) ду

A: A detailed solution is given below.

Q: どa (en) (2-x)8 y = X+7 FiNo dy

A:

Q: 2 4 Mx(t) = -e+ 3t e' + e" + %3D 3 15

A: Given: Mxt=13et+415e3t+215e4t+415e5t

Q: 12. Find the antiderivtive: 9x°- 6x -2

A:

Q: (ke) 3 (1-In 2-) 1. For Sk*e3* dx = +C.f u= 3x, then k=? 2.

A:

Q: (b) Evaluate |(2x+3)V x² + 3x – 5 dx , by using substitution method.

A:

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.